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mode 100644 Projects/SDR_Rover/tools/virtual_channel.py diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..d9e38f6 --- /dev/null +++ b/.gitignore @@ -0,0 +1,51 @@ +# ========================================== +# SDR Rover Link +# Файлы, не включаемые в Git +# ========================================== + +# Python: скомпилированные и временные файлы +__pycache__/ +*.py[cod] +*$py.class + +# Кэш инструментов проверки и тестирования +.pytest_cache/ +.mypy_cache/ +.coverage + +# Spyder +.spyproject/ +.spyderproject +.spyderworkspace + +# Jupyter Notebook +.ipynb_checkpoints/ + +# Виртуальные окружения Python +.venv/ +venv/ +env/ + +# Временные файлы редакторов +*.tmp +*.temp +*.bak +*.swp +*~ + +# Временные файлы Microsoft Office +~$*.docx +~$*.xlsx +~$*.pptx + +# Системные файлы Windows +Thumbs.db +Desktop.ini + +# Системные файлы macOS +.DS_Store + +# Локальные настройки и секреты +.env +*.local + diff --git a/Projects/SDR_Rover/PROJECT_LOG.md b/Projects/SDR_Rover/PROJECT_LOG.md new file mode 100644 index 0000000..513ae58 --- /dev/null +++ b/Projects/SDR_Rover/PROJECT_LOG.md @@ -0,0 +1,35 @@ +# Инженерный журнал SDR Rover Link + +## Назначение журнала + +Этот файл содержит хронологию разработки проекта SDR Rover Link. + +В журнале фиксируются: + +- выполненные работы; +- полученные результаты; +- обнаруженные ошибки; +- принятые технические решения; +- результаты экспериментов; +- планы следующего этапа. + +Записи не следует удалять. Если решение изменилось, необходимо добавить новую запись и объяснить причину изменения. + +--- + +# Запись 001 + +## Дата + +10 июля 2026 года + +## Тема + +Создание структуры проекта и локального Git-репозитория. + +## Выполнено + +1. Проверена установленная версия Git: + +```text +git version 2.51.1.windows.1 \ No newline at end of file diff --git a/Projects/SDR_Rover/README.md b/Projects/SDR_Rover/README.md new file mode 100644 index 0000000..dbbeab6 --- /dev/null +++ b/Projects/SDR_Rover/README.md @@ -0,0 +1,340 @@ +# SDR Rover Link + +## 1. Назначение проекта + +**SDR Rover Link** — учебно-исследовательский проект по разработке цифрового радиоканала для наземного робототехнического комплекса с использованием программно-определяемого радио — SDR, Software Defined Radio. + +Проект должен пройти полный путь от передачи простого текстового пакета до передачи телеметрии и отдельных JPEG-изображений через реальный радиоканал. + +Основная задача проекта — не только получить работающую систему, но и последовательно изучить все этапы цифровой радиосвязи: + +- формирование данных; +- разбиение данных на пакеты; +- контроль целостности; +- исправление ошибок; +- цифровую модуляцию; +- формирование IQ-сигнала; +- передачу через SDR; +- приём и демодуляцию; +- восстановление исходных данных. + +--- + +## 2. Целевой сценарий + +Разрабатываемая система предназначена для исследовательского наземного ровера. + +Целевые требования: + +| Параметр | Требование | +|---|---| +| Дальность связи | до 10 км | +| Скорость ровера | до 25 км/ч | +| Прямая радиовидимость | может отсутствовать | +| Рабочие частоты | ниже 350 МГц | +| Основной тип данных | телеметрия и отдельные изображения | +| Формат изображения | JPEG | +| Частота передачи изображений | отдельные кадры, не видеопоток | +| Действие при потере связи | безопасная остановка ровера | + +Дальность 10 км без прямой видимости является целевым исследовательским требованием, а не гарантированной характеристикой первой версии системы. + +--- + +## 3. Почему не используется обычное FPV-видео + +Типовые FPV-системы работают преимущественно в диапазонах 2,4 и 5,8 ГГц. + +Для наземного робота такие диапазоны имеют ряд ограничений: + +- высокие потери при работе у поверхности земли; +- затенение рельефом, зданиями и растительностью; +- быстрое ухудшение изображения при слабом сигнале; +- высокая загруженность распространённых диапазонов; +- зависимость от постоянного широкополосного видеопотока. + +В этом проекте вместо непрерывного видео предполагается передавать отдельные сжатые изображения. + +Пример: + +```text +Камера + ↓ +JPEG-изображение + ↓ +Разбиение на пакеты + ↓ +Передача через SDR + ↓ +Сборка изображения на наземной станции +``` + +Такой подход позволяет существенно снизить требуемую скорость радиоканала. + +--- + +## 4. Текущее оборудование + +### SDR-оборудование + +- RTL-SDR — приёмник; +- ADALM-PlutoSDR — приёмопередатчик, ожидается поступление; +- HackRF One — может временно использоваться при необходимости. + +### Вычислительное оборудование + +- компьютер под управлением Windows; +- Raspberry Pi — планируется для установки на ровер; +- бортовой вычислитель ровера — будет выбран позднее. + +### Программное обеспечение + +- Python 3.12; +- Anaconda; +- Spyder; +- Git; +- GNU Radio — будет установлен на следующем этапе; +- libiio и драйверы PlutoSDR — будут установлены после получения устройства. + +--- + +## 5. Предварительно рассматриваемые диапазоны + +В рамках проекта рассматриваются: + +- 27 МГц; +- 50 МГц; +- 144 МГц; +- другие разрешённые для лабораторных испытаний частоты ниже 350 МГц. + +Конкретный диапазон будет выбран после анализа: + +- доступной полосы; +- требований законодательства; +- размеров антенны; +- потерь распространения; +- уровня внешних помех; +- возможностей выходного радиочастотного тракта; +- допустимой мощности передачи. + +Передача по эфиру должна выполняться только на разрешённых частотах и с соблюдением допустимой мощности. Первые опыты следует проводить через аттенюатор, эквивалент нагрузки или в экранированной лабораторной конфигурации. + +--- + +## 6. Основные этапы проекта + +### Этап 0. Подготовка среды + +- создание репозитория; +- настройка Git; +- настройка Python и Spyder; +- подготовка структуры каталогов; +- ведение документации. + +### Этап 1. Пакетный протокол + +- структура пакета; +- типы сообщений; +- порядковый номер пакета; +- длина данных; +- CRC; +- кодирование и декодирование. + +### Этап 2. Виртуальный канал + +- передача пакетов между Python-программами; +- имитация потерь; +- имитация повреждения битов; +- измерение числа ошибочных пакетов. + +### Этап 3. Передача файлов + +- разбиение файла на фрагменты; +- нумерация фрагментов; +- подтверждение приёма; +- повторная передача; +- сборка исходного файла. + +### Этап 4. Передача изображений + +- загрузка JPEG; +- разбиение JPEG на пакеты; +- передача через виртуальный канал; +- восстановление изображения; +- обработка потерянных фрагментов. + +### Этап 5. Физический уровень + +- BPSK; +- QPSK; +- формирование символов; +- IQ-сэмплы; +- синхронизация; +- фильтрация; +- оценка BER и PER. + +### Этап 6. PlutoSDR + +- подключение устройства; +- передача несущей; +- передача тестовой последовательности; +- передача цифрового пакета; +- приём сигнала RTL-SDR или вторым SDR. + +### Этап 7. Радиоканал передачи изображений + +- передача JPEG через SDR; +- измерение времени доставки; +- испытания при различных уровнях сигнала; +- испытания при наличии помех; +- подбор скорости и модуляции. + +### Этап 8. Полевые испытания + +- испытания на малой мощности; +- испытания на малой дистанции; +- постепенное увеличение расстояния; +- испытания с ретранслятором; +- испытания на наземном ровере. + +--- + +## 7. Структура репозитория + +```text +SDR_Rover +│ +├── README.md +├── docs +├── protocol +├── rover +├── ground_station +├── gnuradio +├── tests +└── tools +``` + +### `docs` + +Документация, лабораторные работы, схемы и отчёты. + +### `protocol` + +Реализация пакетного протокола: + +- структура пакета; +- CRC; +- кодирование; +- декодирование; +- типы сообщений. + +### `rover` + +Программы, которые будут работать на борту ровера: + +- получение изображения; +- сжатие JPEG; +- передача телеметрии; +- формирование радиопакетов. + +### `ground_station` + +Программы наземной станции: + +- приём пакетов; +- сборка изображений; +- отображение телеметрии; +- управление передачей. + +### `gnuradio` + +Схемы GNU Radio Companion: + +- передатчик; +- приёмник; +- BPSK-модем; +- QPSK-модем; +- тестовые генераторы. + +### `tests` + +Автоматические и лабораторные тесты. + +### `tools` + +Вспомогательные программы: + +- анализ пакетов; +- генераторы тестовых данных; +- построение графиков; +- анализ журналов. + +--- + +## 8. Принципы разработки + +В проекте применяются следующие правила: + +1. Каждый новый термин сначала объясняется, затем используется. +2. Каждый этап должен завершаться работающим результатом. +3. Радиоканал и пакетный протокол разрабатываются отдельно. +4. Код проверяется автоматическими тестами. +5. Все существенные решения фиксируются в документации. +6. Сложность увеличивается постепенно. +7. Испытания по эфиру начинаются только после проверки через виртуальный канал. +8. Передатчик сначала проверяется через аттенюатор или эквивалент нагрузки. + +--- + +## 9. Текущий статус + +Выполнено: + +- установлен Python; +- установлена Anaconda; +- выбран Spyder; +- установлен Git; +- создан локальный Git-репозиторий; +- создана базовая структура каталогов. + +Следующая задача: + +> Создать первый Python-модуль пакетного протокола и передать сообщение через виртуальный канал без SDR-оборудования. + +--- + +## 10. Ближайший контрольный результат + +Первая рабочая версия должна выполнять следующий цикл: + +```text +Текстовое сообщение + ↓ +Преобразование в байты + ↓ +Формирование пакета + ↓ +Добавление CRC + ↓ +Имитация радиоканала + ↓ +Проверка CRC + ↓ +Восстановление сообщения +``` + +Первое тестовое сообщение: + +```text +HELLO SDR +``` + +--- + +## 11. 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z#tUV7wjBk8JVV|~pbPVg&+T?kw!-Cxx5Ea7q+ABw?39X~2&$Q*?9O~le7yJL8}G8_Ro&f|;S{C< zJ~i@PU2PVGI@VHML$FrgwoP>JFGhN+5$vF@W(4z(0dd+<0`oq5k>fM$%Pf2CNfxSF zt-z5+uzyC`m)BrQ;Cat7`}!1mZ{t=)Lw{wpJG&wBWHO7p?9B|iZ$ Cue$vJ literal 0 HcmV?d00001 diff --git a/Projects/SDR_Rover/data/processed/lab017/lab017_hysteresis_results.csv b/Projects/SDR_Rover/data/processed/lab017/lab017_hysteresis_results.csv new file mode 100644 index 0000000..026c13d --- /dev/null +++ b/Projects/SDR_Rover/data/processed/lab017/lab017_hysteresis_results.csv @@ -0,0 +1,46 @@ +step,measured_eb_n0_db,filtered_eb_n0_db,naive_mode,stable_mode,mode_changed,pending_upgrade_mode,pending_upgrade_count,reason +0,10.2,10.2,1024,1024,False,,0,Режим удерживается +1,9.7,10.024999999999999,1024,1024,False,,0,Режим удерживается +2,9.4,9.806249999999999,512,1024,False,,0,Режим удерживается +3,9.6,9.734062499999999,1024,1024,False,,0,Режим удерживается +4,9.3,9.582140625,512,1024,False,,0,Режим удерживается +5,9.7,9.62339140625,1024,1024,False,,0,Режим удерживается +6,9.2,9.4752044140625,512,1024,False,,0,Режим удерживается +7,9.6,9.518882869140624,1024,1024,False,,0,Режим удерживается +8,9.0,9.337273864941405,512,1024,False,,0,Режим удерживается +9,8.7,9.114228012211914,512,512,True,,0,Понижение по фильтрованному Eb/N0 +10,8.4,8.864248207937743,128,512,False,,0,Режим удерживается +11,8.6,8.771761335159534,512,512,False,,0,Режим удерживается +12,8.3,8.606644867853698,128,512,False,,0,Режим удерживается +13,8.7,8.639319164104903,512,512,False,,0,Режим удерживается +14,8.2,8.485557456668186,128,512,False,,0,Режим удерживается +15,8.6,8.525612346834322,512,512,False,,0,Режим удерживается +16,8.0,8.341648025442309,128,512,False,,0,Режим удерживается +17,7.8,8.1520712165375,128,512,False,,0,Режим удерживается +18,7.5,7.923846290749375,128,128,True,,0,Аварийное понижение по мгновенному Eb/N0 +19,7.7,7.8455000889870945,128,128,False,,0,Режим удерживается +20,7.4,7.689575057841611,128,128,False,,0,Режим удерживается +21,7.8,7.728223787597047,128,128,False,,0,Режим удерживается +22,7.2,7.543345461938081,128,128,False,,0,Режим удерживается +23,6.8,7.283174550259753,128,128,False,,0,Режим удерживается +24,6.5,7.009063457668839,128,128,False,,0,Режим удерживается +25,6.3,6.760891247484745,0,128,False,,0,Режим удерживается +26,6.6,6.704579310865084,128,128,False,,0,Режим удерживается +27,6.2,6.527976552062304,0,128,False,,0,Режим удерживается +28,6.7,6.588184758840497,128,128,False,,0,Режим удерживается +29,6.1,6.417320093246323,0,128,False,,0,Режим удерживается +30,5.5,6.0962580606101096,0,0,True,,0,Аварийное понижение по мгновенному Eb/N0 +31,6.0,6.062567739396571,0,0,False,,0,Режим удерживается +32,6.4,6.1806690306077705,0,0,False,,0,Режим удерживается +33,6.7,6.362434869895051,128,0,False,,0,Режим удерживается +34,6.9,6.550582665431783,128,0,False,,0,Режим удерживается +35,7.1,6.742878732530659,128,0,False,,0,Режим удерживается +36,7.3,6.937871176144928,128,0,False,128,1,Накопление подтверждений для повышения режима +37,8.0,7.3096162644942035,128,0,False,128,2,Накопление подтверждений для повышения режима +38,8.8,7.831250571921233,512,128,True,,0,Режим повышен после нескольких подтверждений +39,9.0,8.2403128717488,512,128,False,,0,Режим удерживается +40,9.4,8.64620336663672,512,128,False,,0,Режим удерживается +41,9.8,9.05003218831387,1024,128,False,512,1,Накопление подтверждений для повышения режима +42,10.0,9.382520922404016,1024,128,False,512,2,Накопление подтверждений для повышения режима +43,10.2,9.668638599562609,1024,512,True,,0,Режим повышен после нескольких подтверждений +44,10.1,9.819615089715695,1024,512,False,,0,Повышение запрещено: не выдержано минимальное время режима diff --git a/Projects/SDR_Rover/data/processed/lab018/lab018_bpsk_radio_frame.png b/Projects/SDR_Rover/data/processed/lab018/lab018_bpsk_radio_frame.png new file mode 100644 index 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z|A{&&MJTFWby4eORq>&=k4knmFFU9k@YvSY*Wiw1O!Z~uXuUo1oNxtt77PRFMQY|o zxv5y=OE4af9%&Tl!FXJHUdb$$*e*RB4+25`B55=a+(@GU9og@rjXtRX%>2{#XHN$e z=7>6s5gian)q#1UfC;kwx4Qb%~(TKWt&ViO_mD%>mINvK=c>wP^|4vFU9fmw9vifuI6C z7nRa;xVoqTdIU8<&o7-b5m+nG+ubqLVUOsrc?3EP+Vjuazr3L`R6}QL#tpSzUcgxe zQHdzL;Fei*)z__Rt~KhRlKQ-SNc>)L)DTzV80C*r9`={e>I>cEWaqeqN;BFZAQHlJ%WmsHFpbfKr-zb)nN+@Da|nX%SKo8zex8=+Vf58z;lU5)uzK zgb^bbMmUs{9!$s*4<0;m^yCi*FYIi*ahmV@ef`?6MNzub+VAc2KJW8BPdi^aKZG8w zGFA~pQ4mD<37zl4Js~bdW6|z-EE-EB;ulj&Iwi}g>zA)&lw$vl!D4@5VCarEGIXnQ zd!SHyq*m@fFdiB=M`jjg^vBwyF@Y};Eh-RoPesd}q5noUa){L@r6k9zECR^Hu7 zOI>BN5o#*-_|mos2MiPI3kO#fs2?LG`=q3i<4R^p$=t4u^|OtaShM_g>%c>;A86zi z|A{&&MJTFWby4eORq>&=k4knmFFU9k@YvSY*Wiw1O!Z~uXuUo1oNxtt77PRFMQY|o zxv5y=OE4af9%&Tl!FXJHUdb$$*e*RB4+25`B55=a+(@GU9og@rjXtRX%>2{#XHN$e z=7>6s5gian)q#1UfC;kwx4Qb%~(TKWt&ViO_mD%>mINvK=c>wP^|4vFU9fmw9vifuI6C z7nRa;xVoqTdIU8<&o7-b5m+nG+ubqLVUOsrc?3EP+Vjuazr3L`R6}QL#tpSzUcgxe zQHdzL;Fei*)z__Rt~KhRlKQ-SNc>)L)DTzV80C*r9`={e>I>cEWaqeqN;BFZAQHlJ%WmsHFpbfKr-zb)nN+@Da|nX%SKo list[ImageFragment]: + """ + Разбить изображение на фрагменты. + + Параметры + -------- + image_bytes: + Полное содержимое файла изображения. + + image_id: + Идентификатор изображения от 0 до 4294967295. + + fragment_data_size: + Максимальный размер данных одного фрагмента. + + Возвращает + ---------- + Список объектов ImageFragment. + """ + + if not isinstance(image_bytes, (bytes, bytearray)): + raise TypeError( + "image_bytes должен иметь тип bytes или bytearray" + ) + + image_bytes = bytes(image_bytes) + + if not image_bytes: + raise ValueError( + "Изображение не должно быть пустым" + ) + + if not 0 <= image_id <= 0xFFFFFFFF: + raise ValueError( + "image_id должен находиться " + "в диапазоне 0...4294967295" + ) + + if not 1 <= fragment_data_size <= MAX_FRAGMENT_DATA_SIZE: + raise ValueError( + "Некорректный размер фрагмента" + ) + + fragment_count = ( + len(image_bytes) + + fragment_data_size + - 1 + ) // fragment_data_size + + if fragment_count > 65535: + raise ValueError( + "Изображение требует более 65535 фрагментов" + ) + + fragments = [] + + for fragment_index in range(fragment_count): + + start = fragment_index * fragment_data_size + end = start + fragment_data_size + + fragment_data = image_bytes[start:end] + + fragments.append( + ImageFragment( + image_id=image_id, + fragment_index=fragment_index, + fragment_count=fragment_count, + original_size=len(image_bytes), + data=fragment_data, + ) + ) + + return fragments + + +# ============================================================ +# Преобразование фрагмента в байты +# ============================================================ + +def encode_image_fragment( + fragment: ImageFragment, +) -> bytes: + """ + Преобразовать ImageFragment в полезную нагрузку пакета. + """ + + if not isinstance(fragment, ImageFragment): + raise TypeError( + "fragment должен иметь тип ImageFragment" + ) + + if not 0 <= fragment.fragment_index < fragment.fragment_count: + raise ImageFragmentError( + "Некорректный номер фрагмента" + ) + + if not fragment.data: + raise ImageFragmentError( + "Фрагмент не должен быть пустым" + ) + + if len(fragment.data) > MAX_FRAGMENT_DATA_SIZE: + raise ImageFragmentError( + "Данные фрагмента слишком велики" + ) + + header = struct.pack( + FRAGMENT_HEADER_FORMAT, + fragment.image_id, + fragment.fragment_index, + fragment.fragment_count, + fragment.original_size, + ) + + return header + fragment.data + + +# ============================================================ +# Преобразование байтов обратно во фрагмент +# ============================================================ + +def decode_image_fragment( + payload: bytes, +) -> ImageFragment: + """ + Разобрать полезную нагрузку пакета изображения. + """ + + if not isinstance(payload, (bytes, bytearray)): + raise TypeError( + "payload должен иметь тип bytes или bytearray" + ) + + payload = bytes(payload) + + if len(payload) <= FRAGMENT_HEADER_SIZE: + raise ImageFragmentError( + "Фрагмент слишком короткий" + ) + + header = payload[:FRAGMENT_HEADER_SIZE] + fragment_data = payload[FRAGMENT_HEADER_SIZE:] + + ( + image_id, + fragment_index, + fragment_count, + original_size, + ) = struct.unpack( + FRAGMENT_HEADER_FORMAT, + header, + ) + + if fragment_count == 0: + raise ImageFragmentError( + "Количество фрагментов не может быть равно нулю" + ) + + if fragment_index >= fragment_count: + raise ImageFragmentError( + "Номер фрагмента выходит за допустимый диапазон" + ) + + if original_size == 0: + raise ImageFragmentError( + "Размер исходного изображения равен нулю" + ) + + return ImageFragment( + image_id=image_id, + fragment_index=fragment_index, + fragment_count=fragment_count, + original_size=original_size, + data=fragment_data, + ) + + +# ============================================================ +# Сборка изображения +# ============================================================ + +def reassemble_image( + fragments: Iterable[ImageFragment], +) -> bytes: + """ + Собрать исходное изображение из фрагментов. + + Фрагменты могут поступать в произвольном порядке. + """ + + fragments = list(fragments) + + if not fragments: + raise MissingFragmentsError( + "Список фрагментов пуст" + ) + + first_fragment = fragments[0] + + image_id = first_fragment.image_id + fragment_count = first_fragment.fragment_count + original_size = first_fragment.original_size + + fragments_by_index = {} + + for fragment in fragments: + + if fragment.image_id != image_id: + raise ImageFragmentError( + "Фрагменты относятся к разным изображениям" + ) + + if fragment.fragment_count != fragment_count: + raise ImageFragmentError( + "Различается общее количество фрагментов" + ) + + if fragment.original_size != original_size: + raise ImageFragmentError( + "Различается размер исходного изображения" + ) + + existing_fragment = fragments_by_index.get( + fragment.fragment_index + ) + + if existing_fragment is not None: + + if existing_fragment.data != fragment.data: + raise ImageFragmentError( + "Получены разные данные " + "для одного номера фрагмента" + ) + + # Полностью одинаковый повторный фрагмент + # можно безопасно проигнорировать. + continue + + fragments_by_index[ + fragment.fragment_index + ] = fragment + + missing_indexes = [ + index + for index in range(fragment_count) + if index not in fragments_by_index + ] + + if missing_indexes: + raise MissingFragmentsError( + "Отсутствуют фрагменты: " + + ", ".join(map(str, missing_indexes)) + ) + + assembled_bytes = b"".join( + fragments_by_index[index].data + for index in range(fragment_count) + ) + + if len(assembled_bytes) != original_size: + raise ImageFragmentError( + "Размер собранного изображения " + "не совпадает с исходным размером" + ) + + return assembled_bytes \ No newline at end of file diff --git a/Projects/SDR_Rover/protocol/link_adaptation.py b/Projects/SDR_Rover/protocol/link_adaptation.py new file mode 100644 index 0000000..42ab0c3 --- /dev/null +++ b/Projects/SDR_Rover/protocol/link_adaptation.py @@ -0,0 +1,382 @@ +""" +Адаптация параметров SDR Rover Link к качеству канала. + +Модуль оценивает несколько размеров фрагмента изображения +и выбирает режим с максимальной полезной скоростью. + +Используемая модель: + +- когерентная BPSK; +- канал AWGN; +- независимые битовые ошибки; +- CRC отбрасывает повреждённые пакеты; +- Stop-and-Wait ARQ; +- одинаковое Eb/N0 для DATA и ACK. +""" + +from dataclasses import dataclass +from math import ( + erfc, + exp, + log1p, + sqrt, +) + +from protocol.image_fragments import ( + FRAGMENT_HEADER_SIZE, +) + +from protocol.packet import ( + CRC_SIZE, + HEADER_SIZE, +) + + +# ============================================================ +# Результат оценки одного размера фрагмента +# ============================================================ + +@dataclass(frozen=True) +class FragmentModeEstimate: + """ + Оценка одного возможного размера фрагмента. + """ + + fragment_size: int + + ber: float + + data_packet_size_bytes: int + ack_packet_size_bytes: int + + data_success_probability: float + ack_success_probability: float + + confirmed_attempt_probability: float + + expected_attempts: float + + success_probability_with_retries: float + + expected_goodput_bps: float + + +# ============================================================ +# Итоговое решение адаптера +# ============================================================ + +@dataclass(frozen=True) +class LinkDecision: + """ + Решение о режиме передачи изображения. + """ + + eb_n0_db: float + + images_enabled: bool + + selected_fragment_size: int | None + + reason: str + + estimates: tuple[FragmentModeEstimate, ...] + + +# ============================================================ +# Теоретический BER +# ============================================================ + +def theoretical_bpsk_ber( + eb_n0_db: float, +) -> float: + """ + Теоретический BER когерентной BPSK в AWGN. + + BER = 0.5 * erfc(sqrt(Eb/N0)) + """ + + eb_n0_linear = 10.0 ** ( + eb_n0_db / 10.0 + ) + + return 0.5 * erfc( + sqrt(eb_n0_linear) + ) + + +# ============================================================ +# Вероятность передачи пакета без ошибок +# ============================================================ + +def packet_success_probability( + ber: float, + packet_bit_count: int, +) -> float: + """ + Рассчитать вероятность того, что пакет не содержит + ни одной битовой ошибки. + + P = (1 - BER) ** N + """ + + if not 0.0 <= ber <= 1.0: + raise ValueError( + "BER должен находиться в диапазоне 0...1" + ) + + if packet_bit_count <= 0: + raise ValueError( + "packet_bit_count должен быть положительным" + ) + + if ber == 0.0: + return 1.0 + + if ber == 1.0: + return 0.0 + + return exp( + packet_bit_count + * log1p(-ber) + ) + + +# ============================================================ +# Оценка отдельного режима +# ============================================================ + +def evaluate_fragment_mode( + eb_n0_db: float, + fragment_size: int, + channel_bitrate_bps: int, + max_attempts: int, +) -> FragmentModeEstimate: + """ + Оценить передачу полного фрагмента заданного размера. + """ + + if fragment_size <= 0: + raise ValueError( + "fragment_size должен быть положительным" + ) + + if channel_bitrate_bps <= 0: + raise ValueError( + "channel_bitrate_bps должен быть положительным" + ) + + if max_attempts <= 0: + raise ValueError( + "max_attempts должен быть положительным" + ) + + ber = theoretical_bpsk_ber( + eb_n0_db + ) + + # DATA содержит: + # + # заголовок протокола; + # заголовок фрагмента изображения; + # данные JPEG; + # CRC-32. + data_packet_size_bytes = ( + HEADER_SIZE + + FRAGMENT_HEADER_SIZE + + fragment_size + + CRC_SIZE + ) + + # ACK содержит только заголовок протокола и CRC. + ack_packet_size_bytes = ( + HEADER_SIZE + + CRC_SIZE + ) + + data_success_probability = ( + packet_success_probability( + ber=ber, + packet_bit_count=( + data_packet_size_bytes * 8 + ), + ) + ) + + ack_success_probability = ( + packet_success_probability( + ber=ber, + packet_bit_count=( + ack_packet_size_bytes * 8 + ), + ) + ) + + # Одна попытка считается завершённой, + # только если правильно прошли DATA и ACK. + confirmed_attempt_probability = ( + data_success_probability + * ack_success_probability + ) + + if confirmed_attempt_probability == 0.0: + expected_attempts = float("inf") + expected_goodput_bps = 0.0 + + else: + expected_attempts = ( + 1.0 + / confirmed_attempt_probability + ) + + # Ожидаемый объём DATA до подтверждения. + expected_data_bytes = ( + data_packet_size_bytes + / confirmed_attempt_probability + ) + + # ACK отправляется только после исправного DATA. + expected_ack_bytes = ( + ack_packet_size_bytes + / ack_success_probability + ) + + expected_total_bytes = ( + expected_data_bytes + + expected_ack_bytes + ) + + expected_goodput_bps = ( + channel_bitrate_bps + * fragment_size + / expected_total_bytes + ) + + success_probability_with_retries = ( + 1.0 + - ( + 1.0 + - confirmed_attempt_probability + ) ** max_attempts + ) + + return FragmentModeEstimate( + fragment_size=fragment_size, + ber=ber, + data_packet_size_bytes=data_packet_size_bytes, + ack_packet_size_bytes=ack_packet_size_bytes, + data_success_probability=( + data_success_probability + ), + ack_success_probability=( + ack_success_probability + ), + confirmed_attempt_probability=( + confirmed_attempt_probability + ), + expected_attempts=expected_attempts, + success_probability_with_retries=( + success_probability_with_retries + ), + expected_goodput_bps=( + expected_goodput_bps + ), + ) + + +# ============================================================ +# Выбор режима +# ============================================================ + +def choose_image_mode( + eb_n0_db: float, + candidate_fragment_sizes: tuple[int, ...] = ( + 128, + 512, + 1024, + ), + channel_bitrate_bps: int = 20_000, + max_attempts: int = 5, + minimum_success_probability: float = 0.85, + minimum_goodput_bps: float = 2_000.0, +) -> LinkDecision: + """ + Выбрать режим передачи изображения. + + Режим допускается, если: + + 1. вероятность подтверждения за max_attempts + не ниже minimum_success_probability; + + 2. ожидаемый goodput не ниже minimum_goodput_bps. + + Из подходящих режимов выбирается режим + с максимальной полезной скоростью. + """ + + if not candidate_fragment_sizes: + raise ValueError( + "Список размеров фрагментов пуст" + ) + + if not 0.0 <= minimum_success_probability <= 1.0: + raise ValueError( + "minimum_success_probability должен быть 0...1" + ) + + if minimum_goodput_bps < 0.0: + raise ValueError( + "minimum_goodput_bps не может быть отрицательным" + ) + + estimates = tuple( + evaluate_fragment_mode( + eb_n0_db=eb_n0_db, + fragment_size=fragment_size, + channel_bitrate_bps=channel_bitrate_bps, + max_attempts=max_attempts, + ) + for fragment_size in candidate_fragment_sizes + ) + + eligible_estimates = [ + estimate + for estimate in estimates + if ( + estimate.success_probability_with_retries + >= minimum_success_probability + and estimate.expected_goodput_bps + >= minimum_goodput_bps + ) + ] + + if not eligible_estimates: + return LinkDecision( + eb_n0_db=eb_n0_db, + images_enabled=False, + selected_fragment_size=None, + reason=( + "Канал недостаточен для надёжной " + "передачи изображения" + ), + estimates=estimates, + ) + + selected_estimate = max( + eligible_estimates, + key=lambda estimate: ( + estimate.expected_goodput_bps + ), + ) + + return LinkDecision( + eb_n0_db=eb_n0_db, + images_enabled=True, + selected_fragment_size=( + selected_estimate.fragment_size + ), + reason=( + "Выбран режим с максимальной " + "ожидаемой полезной скоростью" + ), + estimates=estimates, + ) \ No newline at end of file diff --git a/Projects/SDR_Rover/protocol/link_controller.py b/Projects/SDR_Rover/protocol/link_controller.py new file mode 100644 index 0000000..96ff701 --- /dev/null +++ b/Projects/SDR_Rover/protocol/link_controller.py @@ -0,0 +1,447 @@ +""" +Устойчивый контроллер режима радиоканала SDR Rover Link. + +Контроллер устраняет частое переключение режимов +из-за шума измерения Eb/N0. + +Реализованы: + +1. Экспоненциальное усреднение Eb/N0. +2. Гистерезис порогов. +3. Подтверждение повышения режима. +4. Минимальное время удержания режима. +5. Быстрое аварийное понижение режима. + +Доступные режимы: + + 0 — изображения отключены; + 128 — фрагменты по 128 байт; + 512 — фрагменты по 512 байт; + 1024 — фрагменты по 1024 байта. +""" + +from dataclasses import dataclass + + +# ============================================================ +# Допустимые режимы +# ============================================================ + +IMAGE_OFF = 0 + +FRAGMENT_MODE_128 = 128 +FRAGMENT_MODE_512 = 512 +FRAGMENT_MODE_1024 = 1024 + +VALID_MODES = ( + IMAGE_OFF, + FRAGMENT_MODE_128, + FRAGMENT_MODE_512, + FRAGMENT_MODE_1024, +) + + +# ============================================================ +# Результат одного шага контроллера +# ============================================================ + +@dataclass(frozen=True) +class LinkControllerResult: + """ + Состояние контроллера после нового измерения Eb/N0. + """ + + step: int + + measured_eb_n0_db: float + filtered_eb_n0_db: float + + previous_mode: int + selected_mode: int + + mode_changed: bool + + pending_upgrade_mode: int | None + pending_upgrade_count: int + + reason: str + + +# ============================================================ +# Контроллер +# ============================================================ + +class LinkModeController: + """ + Устойчивый адаптивный контроллер режима изображения. + + Пороговые значения выбраны по результатам Lab015 и Lab016. + + Гистерезис означает, что повышение и понижение режима + происходят при разных значениях Eb/N0. + + Пример для режима 512 байт: + + повышение 128 → 512: Eb/N0 >= 8,7 дБ + понижение 512 → 128: Eb/N0 < 8,1 дБ + + Благодаря разнице 0,6 дБ небольшие колебания около + порога не вызывают постоянного переключения. + """ + + def __init__( + self, + initial_mode: int = IMAGE_OFF, + filter_alpha: float = 0.35, + upgrade_confirmation_count: int = 3, + minimum_hold_steps: int = 2, + ) -> None: + """ + Создать контроллер. + + Параметры + ---------- + initial_mode: + Начальный режим. + + filter_alpha: + Коэффициент экспоненциального фильтра. + + Большое значение: + быстрее реакция; + слабее фильтрация шума. + + Малое значение: + медленнее реакция; + сильнее фильтрация. + + upgrade_confirmation_count: + Сколько последовательных измерений требуется + для повышения режима. + + minimum_hold_steps: + Минимальное число шагов удержания режима + перед очередным повышением. + """ + + if initial_mode not in VALID_MODES: + raise ValueError( + f"Недопустимый начальный режим: {initial_mode}" + ) + + if not 0.0 < filter_alpha <= 1.0: + raise ValueError( + "filter_alpha должен находиться в диапазоне 0...1" + ) + + if upgrade_confirmation_count <= 0: + raise ValueError( + "upgrade_confirmation_count должен быть положительным" + ) + + if minimum_hold_steps < 0: + raise ValueError( + "minimum_hold_steps не может быть отрицательным" + ) + + self.current_mode = initial_mode + + self.filter_alpha = filter_alpha + + self.upgrade_confirmation_count = ( + upgrade_confirmation_count + ) + + self.minimum_hold_steps = ( + minimum_hold_steps + ) + + self.filtered_eb_n0_db: float | None = None + + self.step = 0 + self.steps_in_mode = 0 + + self.pending_upgrade_mode: int | None = None + self.pending_upgrade_count = 0 + + # ======================================================== + # Внутренние функции + # ======================================================== + + def _update_filter( + self, + measured_eb_n0_db: float, + ) -> float: + """ + Обновить экспоненциальное среднее. + + Формула: + + filtered = + alpha * measured + + (1 - alpha) * previous_filtered + """ + + if self.filtered_eb_n0_db is None: + self.filtered_eb_n0_db = measured_eb_n0_db + + else: + self.filtered_eb_n0_db = ( + self.filter_alpha + * measured_eb_n0_db + + ( + 1.0 + - self.filter_alpha + ) + * self.filtered_eb_n0_db + ) + + return self.filtered_eb_n0_db + + def _emergency_safe_mode( + self, + measured_eb_n0_db: float, + ) -> int: + """ + Определить максимально безопасный режим + по мгновенному измерению. + + Используется для быстрого понижения режима, + не дожидаясь усреднения. + """ + + if measured_eb_n0_db < 5.8: + return IMAGE_OFF + + if measured_eb_n0_db < 7.7: + return FRAGMENT_MODE_128 + + if measured_eb_n0_db < 8.7: + return FRAGMENT_MODE_512 + + return FRAGMENT_MODE_1024 + + def _desired_mode_from_filtered( + self, + filtered_eb_n0_db: float, + ) -> int: + """ + Определить желаемый режим с учётом гистерезиса. + + Повышение выполняется только на один уровень за шаг. + """ + + if self.current_mode == IMAGE_OFF: + + if filtered_eb_n0_db >= 6.8: + return FRAGMENT_MODE_128 + + return IMAGE_OFF + + if self.current_mode == FRAGMENT_MODE_128: + + if filtered_eb_n0_db < 6.2: + return IMAGE_OFF + + if filtered_eb_n0_db >= 8.7: + return FRAGMENT_MODE_512 + + return FRAGMENT_MODE_128 + + if self.current_mode == FRAGMENT_MODE_512: + + if filtered_eb_n0_db < 8.1: + return FRAGMENT_MODE_128 + + if filtered_eb_n0_db >= 9.8: + return FRAGMENT_MODE_1024 + + return FRAGMENT_MODE_512 + + if self.current_mode == FRAGMENT_MODE_1024: + + if filtered_eb_n0_db < 9.2: + return FRAGMENT_MODE_512 + + return FRAGMENT_MODE_1024 + + raise RuntimeError( + f"Неизвестный текущий режим: {self.current_mode}" + ) + + def _reset_pending_upgrade( + self, + ) -> None: + """ + Сбросить накопленное подтверждение повышения. + """ + + self.pending_upgrade_mode = None + self.pending_upgrade_count = 0 + + def _change_mode( + self, + new_mode: int, + ) -> None: + """ + Немедленно установить новый режим. + """ + + if new_mode not in VALID_MODES: + raise ValueError( + f"Недопустимый режим: {new_mode}" + ) + + self.current_mode = new_mode + self.steps_in_mode = 0 + + self._reset_pending_upgrade() + + # ======================================================== + # Основной шаг + # ======================================================== + + def update( + self, + measured_eb_n0_db: float, + ) -> LinkControllerResult: + """ + Обработать новое измерение Eb/N0. + + Логика: + + 1. Обновить фильтр. + 2. Проверить аварийное понижение. + 3. Проверить обычное понижение по фильтру. + 4. Для повышения потребовать несколько подтверждений. + 5. Вернуть результат. + """ + + measured_eb_n0_db = float( + measured_eb_n0_db + ) + + previous_mode = self.current_mode + + filtered_eb_n0_db = self._update_filter( + measured_eb_n0_db + ) + + reason = "Режим удерживается" + + # ---------------------------------------------------- + # Аварийное быстрое понижение + # ---------------------------------------------------- + + emergency_mode = self._emergency_safe_mode( + measured_eb_n0_db + ) + + if emergency_mode < self.current_mode: + + self._change_mode( + emergency_mode + ) + + reason = ( + "Аварийное понижение по мгновенному Eb/N0" + ) + + else: + + desired_mode = self._desired_mode_from_filtered( + filtered_eb_n0_db + ) + + # ------------------------------------------------ + # Обычное понижение + # ------------------------------------------------ + + if desired_mode < self.current_mode: + + self._change_mode( + desired_mode + ) + + reason = ( + "Понижение по фильтрованному Eb/N0" + ) + + # ------------------------------------------------ + # Возможное повышение + # ------------------------------------------------ + + elif desired_mode > self.current_mode: + + if ( + self.steps_in_mode + < self.minimum_hold_steps + ): + self._reset_pending_upgrade() + + reason = ( + "Повышение запрещено: " + "не выдержано минимальное время режима" + ) + + else: + + if ( + self.pending_upgrade_mode + == desired_mode + ): + self.pending_upgrade_count += 1 + + else: + self.pending_upgrade_mode = ( + desired_mode + ) + + self.pending_upgrade_count = 1 + + reason = ( + "Накопление подтверждений " + "для повышения режима" + ) + + if ( + self.pending_upgrade_count + >= self.upgrade_confirmation_count + ): + self._change_mode( + desired_mode + ) + + reason = ( + "Режим повышен после " + "нескольких подтверждений" + ) + + else: + self._reset_pending_upgrade() + + mode_changed = ( + self.current_mode != previous_mode + ) + + result = LinkControllerResult( + step=self.step, + measured_eb_n0_db=measured_eb_n0_db, + filtered_eb_n0_db=filtered_eb_n0_db, + previous_mode=previous_mode, + selected_mode=self.current_mode, + mode_changed=mode_changed, + pending_upgrade_mode=( + self.pending_upgrade_mode + ), + pending_upgrade_count=( + self.pending_upgrade_count + ), + reason=reason, + ) + + self.step += 1 + self.steps_in_mode += 1 + + return result + \ No newline at end of file diff --git a/Projects/SDR_Rover/protocol/packet.py b/Projects/SDR_Rover/protocol/packet.py new file mode 100644 index 0000000..9156b1a --- /dev/null +++ b/Projects/SDR_Rover/protocol/packet.py @@ -0,0 +1,254 @@ +""" +Пакетный протокол SDR Rover Link. + +Модуль содержит функции: +- build_packet() — формирование пакета; +- parse_packet() — проверка и разбор пакета. + +Версия протокола: 0.1 +""" + +from dataclasses import dataclass +import struct +import zlib + + +# ============================================================ +# Константы протокола +# ============================================================ + +SYNC_WORD = 0xAA55 +PROTOCOL_VERSION = 1 + +MESSAGE_TYPE_TEXT = 1 +MESSAGE_TYPE_TELEMETRY = 2 +MESSAGE_TYPE_IMAGE_FRAGMENT = 3 +MESSAGE_TYPE_ACK = 4 + +# Структура заголовка: +# +# H — SYNC, 2 байта +# B — версия, 1 байт +# B — тип сообщения, 1 байт +# H — порядковый номер, 2 байта +# H — длина полезной нагрузки, 2 байта +HEADER_FORMAT = ">HBBHH" + +# CRC-32 хранится как беззнаковое 32-битное число. +CRC_FORMAT = ">I" + +HEADER_SIZE = struct.calcsize(HEADER_FORMAT) +CRC_SIZE = struct.calcsize(CRC_FORMAT) + +MAX_PAYLOAD_SIZE = 65535 + + +# ============================================================ +# Ошибки протокола +# ============================================================ + +class PacketError(ValueError): + """Общая ошибка структуры пакета.""" + + +class CRCError(PacketError): + """Ошибка контрольной суммы CRC.""" + + +# ============================================================ +# Результат разбора пакета +# ============================================================ + +@dataclass(frozen=True) +class ParsedPacket: + """ + Представление успешно принятого пакета. + + Атрибуты: + version: версия протокола; + message_type: тип сообщения; + sequence_number: порядковый номер; + payload: полезная нагрузка в байтах. + """ + + version: int + message_type: int + sequence_number: int + payload: bytes + + +# ============================================================ +# Формирование пакета +# ============================================================ + +def build_packet( + payload: bytes, + message_type: int, + sequence_number: int, +) -> bytes: + """ + Сформировать пакет SDR Rover Link. + + Параметры: + payload: + Полезная нагрузка в байтах. + + message_type: + Тип сообщения от 0 до 255. + + sequence_number: + Порядковый номер от 0 до 65535. + + Возвращает: + Полный пакет в виде bytes. + """ + + if not isinstance(payload, (bytes, bytearray)): + raise TypeError( + "payload должен иметь тип bytes или bytearray" + ) + + payload = bytes(payload) + + if not 0 <= message_type <= 255: + raise ValueError( + "message_type должен находиться в диапазоне 0...255" + ) + + if not 0 <= sequence_number <= 65535: + raise ValueError( + "sequence_number должен находиться в диапазоне 0...65535" + ) + + payload_length = len(payload) + + if payload_length > MAX_PAYLOAD_SIZE: + raise ValueError( + f"Полезная нагрузка превышает {MAX_PAYLOAD_SIZE} байт" + ) + + header = struct.pack( + HEADER_FORMAT, + SYNC_WORD, + PROTOCOL_VERSION, + message_type, + sequence_number, + payload_length, + ) + + packet_without_crc = header + payload + + crc_value = ( + zlib.crc32(packet_without_crc) & 0xFFFFFFFF + ) + + crc_bytes = struct.pack( + CRC_FORMAT, + crc_value, + ) + + return packet_without_crc + crc_bytes + + +# ============================================================ +# Разбор пакета +# ============================================================ + +def parse_packet(packet: bytes) -> ParsedPacket: + """ + Проверить и разобрать пакет SDR Rover Link. + + Проверяются: + - минимальный размер; + - маркер SYNC; + - версия протокола; + - длина пакета; + - CRC-32. + + Возвращает: + ParsedPacket. + + Вызывает: + PacketError — при ошибке структуры; + CRCError — при несовпадении CRC. + """ + + if not isinstance(packet, (bytes, bytearray)): + raise TypeError( + "packet должен иметь тип bytes или bytearray" + ) + + packet = bytes(packet) + + minimum_packet_size = HEADER_SIZE + CRC_SIZE + + if len(packet) < minimum_packet_size: + raise PacketError( + "Пакет слишком короткий" + ) + + header = packet[:HEADER_SIZE] + + ( + sync_word, + version, + message_type, + sequence_number, + payload_length, + ) = struct.unpack( + HEADER_FORMAT, + header, + ) + + if sync_word != SYNC_WORD: + raise PacketError( + f"Неверный SYNC: 0x{sync_word:04X}" + ) + + if version != PROTOCOL_VERSION: + raise PacketError( + f"Неподдерживаемая версия протокола: {version}" + ) + + expected_packet_size = ( + HEADER_SIZE + + payload_length + + CRC_SIZE + ) + + if len(packet) != expected_packet_size: + raise PacketError( + "Длина пакета не соответствует полю LENGTH: " + f"ожидалось {expected_packet_size} байт, " + f"получено {len(packet)} байт" + ) + + data_without_crc = packet[:-CRC_SIZE] + received_crc_bytes = packet[-CRC_SIZE:] + + (received_crc,) = struct.unpack( + CRC_FORMAT, + received_crc_bytes, + ) + + calculated_crc = ( + zlib.crc32(data_without_crc) & 0xFFFFFFFF + ) + + if received_crc != calculated_crc: + raise CRCError( + "CRC не совпадает: " + f"получено 0x{received_crc:08X}, " + f"вычислено 0x{calculated_crc:08X}" + ) + + payload = packet[ + HEADER_SIZE:-CRC_SIZE + ] + + return ParsedPacket( + version=version, + message_type=message_type, + sequence_number=sequence_number, + payload=payload, + ) \ No newline at end of file diff --git a/Projects/SDR_Rover/rover/.gitkeep b/Projects/SDR_Rover/rover/.gitkeep new file mode 100644 index 0000000..e69de29 diff --git a/Projects/SDR_Rover/tests/.gitkeep b/Projects/SDR_Rover/tests/.gitkeep new file mode 100644 index 0000000..e69de29 diff --git a/Projects/SDR_Rover/tests/__init__.py b/Projects/SDR_Rover/tests/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/Projects/SDR_Rover/tests/lab001_text_bytes.py b/Projects/SDR_Rover/tests/lab001_text_bytes.py new file mode 100644 index 0000000..d40a639 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab001_text_bytes.py @@ -0,0 +1,54 @@ +""" +Lab001. Преобразование текста в байты и биты. + +Цель: +1. Взять обычную текстовую строку. +2. Преобразовать её в байты UTF-8. +3. Показать каждый байт как десятичное число. +4. Показать каждый байт как восемь бит. +5. Восстановить исходный текст. +""" + +# Исходное сообщение +message = "HELLO SDR" + +# Кодирование текста в байты. +# UTF-8 — способ представить символы числами. +encoded_message = message.encode("utf-8") + +# Преобразование каждого байта в строку из восьми бит. +binary_message = " ".join( + f"{byte:08b}" for byte in encoded_message +) + +# Обратное преобразование байтов в текст. +decoded_message = encoded_message.decode("utf-8") + + +print("Исходный текст:") +print(message) + +print("\nОбъект bytes:") +print(encoded_message) + +print("\nБайты в десятичном виде:") +print(list(encoded_message)) + +print("\nБайты в двоичном виде:") +print(binary_message) + +print("\nПодробно по каждому символу:") +for character, byte_value in zip(message, encoded_message): + print( + f"{character!r:>4} " + f"→ число {byte_value:3d} " + f"→ биты {byte_value:08b}" + ) + +print("\nВосстановленный текст:") +print(decoded_message) + +# Автоматическая проверка результата. +assert decoded_message == message + +print("\nПроверка пройдена: исходный текст восстановлен без ошибок.") \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab001_utf8_russian.py b/Projects/SDR_Rover/tests/lab001_utf8_russian.py new file mode 100644 index 0000000..a3722d2 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab001_utf8_russian.py @@ -0,0 +1,61 @@ +""" +Lab001, часть 2. +Русский текст, символы, байты и кодировка UTF-8. + +Цель: +1. Увидеть разницу между количеством символов и количеством байтов. +2. Посмотреть, сколько байтов занимает каждая русская буква. +3. Восстановить исходный текст из байтов. +""" + +# Исходное сообщение +message = "ПРИВЕТ SDR" + +# Преобразование текста в байты UTF-8 +encoded_message = message.encode("utf-8") + +# Обратное преобразование байтов в текст +decoded_message = encoded_message.decode("utf-8") + + +print("Исходный текст:") +print(message) + +print("\nКоличество символов:") +print(len(message)) + +print("\nКоличество байтов UTF-8:") +print(len(encoded_message)) + +print("\nОбъект bytes:") +print(encoded_message) + +print("\nВсе байты в десятичном виде:") +print(list(encoded_message)) + +print("\nПодробно по каждому символу:") + +for character in message: + character_bytes = character.encode("utf-8") + + decimal_bytes = list(character_bytes) + + binary_bytes = " ".join( + f"{byte:08b}" for byte in character_bytes + ) + + print( + f"{character!r:>4} " + f"→ байтов: {len(character_bytes)} " + f"→ числа: {decimal_bytes} " + f"→ биты: {binary_bytes}" + ) + +print("\nВосстановленный текст:") +print(decoded_message) + +# Автоматические проверки +assert decoded_message == message +assert len(encoded_message) >= len(message) + +print("\nПроверка пройдена: русский текст восстановлен без ошибок.") \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab002_bit_corruption.py b/Projects/SDR_Rover/tests/lab002_bit_corruption.py new file mode 100644 index 0000000..057fed9 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab002_bit_corruption.py @@ -0,0 +1,153 @@ +""" +Lab002, часть 2. +Повреждение одного бита пакета без контроля целостности. + +Цель: +1. Сформировать цифровой пакет. +2. Намеренно изменить один бит полезной нагрузки. +3. Разобрать повреждённый пакет. +4. Убедиться, что без CRC повреждение не обнаруживается. +""" + +import struct + + +# ============================================================ +# Константы протокола +# ============================================================ + +SYNC_WORD = 0xAA55 +PROTOCOL_VERSION = 1 +MESSAGE_TYPE_TEXT = 1 + +HEADER_FORMAT = ">HBBHH" + + +# ============================================================ +# Формирование исходного пакета +# ============================================================ + +message = "ПРИВЕТ SDR" +payload = message.encode("utf-8") + +sequence_number = 1 +message_type = MESSAGE_TYPE_TEXT +payload_length = len(payload) + +header = struct.pack( + HEADER_FORMAT, + SYNC_WORD, + PROTOCOL_VERSION, + message_type, + sequence_number, + payload_length, +) + +packet = header + payload + + +print("Исходное сообщение:") +print(message) + +print("\nИсходный пакет:") +print(packet.hex(" ")) + + +# ============================================================ +# Имитация повреждения пакета +# ============================================================ + +# bytes нельзя изменять напрямую. +# Поэтому преобразуем пакет в изменяемый массив bytearray. +corrupted_packet = bytearray(packet) + +header_size = struct.calcsize(HEADER_FORMAT) + +# В строке "ПРИВЕТ SDR": +# +# "ПРИВЕТ" занимает 12 байтов UTF-8, +# пробел занимает 1 байт, +# буква S находится по индексу 13 внутри PAYLOAD. +payload_byte_index = 13 + +# Полный индекс внутри пакета: +packet_byte_index = header_size + payload_byte_index + +original_byte = corrupted_packet[packet_byte_index] + +# XOR с 0x01 изменяет младший бит: +# +# 0x53 = 01010011 = S +# 0x52 = 01010010 = R +corrupted_packet[packet_byte_index] ^= 0x01 + +corrupted_byte = corrupted_packet[packet_byte_index] + + +print("\nИзменяемый байт внутри пакета:") + +print( + f"До повреждения: " + f"{original_byte:3d} " + f"= 0x{original_byte:02X} " + f"= {original_byte:08b}" +) + +print( + f"После повреждения: " + f"{corrupted_byte:3d} " + f"= 0x{corrupted_byte:02X} " + f"= {corrupted_byte:08b}" +) + +print("\nПовреждённый пакет:") +print(bytes(corrupted_packet).hex(" ")) + + +# ============================================================ +# Разбор повреждённого пакета +# ============================================================ + +received_header = corrupted_packet[:header_size] +received_payload = corrupted_packet[header_size:] + +( + received_sync, + received_version, + received_type, + received_sequence, + received_length, +) = struct.unpack(HEADER_FORMAT, received_header) + + +# ============================================================ +# Проверки структуры +# ============================================================ + +assert received_sync == SYNC_WORD +assert received_version == PROTOCOL_VERSION +assert received_type == MESSAGE_TYPE_TEXT +assert received_sequence == sequence_number +assert received_length == len(received_payload) + +print("\nВсе проверки заголовка пройдены.") + +restored_message = bytes(received_payload).decode("utf-8") + + +print("\nСообщение после повреждения:") +print(restored_message) + +print("\nИсходное сообщение:") +print(message) + + +# ============================================================ +# Проверка результата эксперимента +# ============================================================ + +assert restored_message != message + +print("\nПовреждение данных произошло.") +print("Но заголовок и длина пакета остались правильными.") +print("Без CRC приёмник не смог определить ошибку.") \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab002_packet_structure.py b/Projects/SDR_Rover/tests/lab002_packet_structure.py new file mode 100644 index 0000000..2205b13 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab002_packet_structure.py @@ -0,0 +1,146 @@ +""" +Lab002. Формирование и разбор первого цифрового пакета. + +Пакет содержит: +- маркер начала; +- версию протокола; +- тип сообщения; +- порядковый номер; +- длину полезных данных; +- полезные данные. +""" + +import struct + + +# ============================================================ +# Константы протокола +# ============================================================ + +SYNC_WORD = 0xAA55 +PROTOCOL_VERSION = 1 + +MESSAGE_TYPE_TEXT = 1 + + +# ============================================================ +# Исходные данные +# ============================================================ + +message = "ПРИВЕТ SDR" +payload = message.encode("utf-8") + +sequence_number = 1 +message_type = MESSAGE_TYPE_TEXT +payload_length = len(payload) + + +# ============================================================ +# Формирование заголовка +# ============================================================ + +# Формат: +# > — порядок байтов от старшего к младшему, big-endian +# H — беззнаковое целое число размером 2 байта +# B — беззнаковое целое число размером 1 байт +# B — ещё одно число размером 1 байт +# H — порядковый номер размером 2 байта +# H — длина данных размером 2 байта +HEADER_FORMAT = ">HBBHH" + +header = struct.pack( + HEADER_FORMAT, + SYNC_WORD, + PROTOCOL_VERSION, + message_type, + sequence_number, + payload_length, +) + +packet = header + payload + + +# ============================================================ +# Вывод сформированного пакета +# ============================================================ + +print("Исходное сообщение:") +print(message) + +print("\nПолезная нагрузка PAYLOAD:") +print(payload) + +print("\nДлина PAYLOAD:") +print(payload_length, "байт") + +print("\nЗаголовок пакета:") +print(header) + +print("\nПолный пакет:") +print(packet) + +print("\nПакет в шестнадцатеричном виде:") +print(packet.hex(" ")) + +print("\nОбщая длина пакета:") +print(len(packet), "байт") + + +# ============================================================ +# Разбор пакета на стороне приёмника +# ============================================================ + +header_size = struct.calcsize(HEADER_FORMAT) + +received_header = packet[:header_size] +received_payload = packet[header_size:] + +( + received_sync, + received_version, + received_type, + received_sequence, + received_length, +) = struct.unpack(HEADER_FORMAT, received_header) + + +print("\n--- Разбор принятого пакета ---") + +print("SYNC:") +print(hex(received_sync)) + +print("\nВерсия протокола:") +print(received_version) + +print("\nТип сообщения:") +print(received_type) + +print("\nПорядковый номер:") +print(received_sequence) + +print("\nДлина из заголовка:") +print(received_length, "байт") + +print("\nФактически принято данных:") +print(len(received_payload), "байт") + + +# ============================================================ +# Проверки +# ============================================================ + +assert received_sync == SYNC_WORD +assert received_version == PROTOCOL_VERSION +assert received_type == MESSAGE_TYPE_TEXT +assert received_sequence == sequence_number +assert received_length == len(received_payload) + +restored_message = received_payload.decode("utf-8") + +assert restored_message == message + + +print("\nВосстановленное сообщение:") +print(restored_message) + +print("\nПроверка пройдена: пакет сформирован и разобран без ошибок.") \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab003_crc32.py b/Projects/SDR_Rover/tests/lab003_crc32.py new file mode 100644 index 0000000..3347044 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab003_crc32.py @@ -0,0 +1,198 @@ +""" +Lab003. Обнаружение повреждения пакета с помощью CRC-32. + +Цель: +1. Сформировать пакет с CRC-32. +2. Проверить исправный пакет. +3. Изменить один бит полезной нагрузки. +4. Убедиться, что CRC обнаруживает повреждение. +""" + +import struct +import zlib + + +# ============================================================ +# Константы протокола +# ============================================================ + +SYNC_WORD = 0xAA55 +PROTOCOL_VERSION = 1 +MESSAGE_TYPE_TEXT = 1 + +HEADER_FORMAT = ">HBBHH" +CRC_FORMAT = ">I" + +CRC_SIZE = struct.calcsize(CRC_FORMAT) + + +# ============================================================ +# Формирование исходного пакета +# ============================================================ + +message = "ПРИВЕТ SDR" +payload = message.encode("utf-8") + +sequence_number = 1 +payload_length = len(payload) + +header = struct.pack( + HEADER_FORMAT, + SYNC_WORD, + PROTOCOL_VERSION, + MESSAGE_TYPE_TEXT, + sequence_number, + payload_length, +) + +# CRC вычисляется по заголовку и полезной нагрузке. +packet_without_crc = header + payload + +crc_value = zlib.crc32(packet_without_crc) & 0xFFFFFFFF + +crc_bytes = struct.pack( + CRC_FORMAT, + crc_value, +) + +packet = packet_without_crc + crc_bytes + + +print("Исходное сообщение:") +print(message) + +print("\nCRC-32 исходного пакета:") +print(f"0x{crc_value:08X}") + +print("\nПолный пакет:") +print(packet.hex(" ")) + +print("\nДлина полного пакета:") +print(len(packet), "байт") + + +# ============================================================ +# Проверка исправного пакета +# ============================================================ + +received_data = packet[:-CRC_SIZE] +received_crc_bytes = packet[-CRC_SIZE:] + +(received_crc,) = struct.unpack( + CRC_FORMAT, + received_crc_bytes, +) + +calculated_crc = zlib.crc32(received_data) & 0xFFFFFFFF + + +print("\n--- Проверка исправного пакета ---") + +print(f"CRC из пакета: 0x{received_crc:08X}") +print(f"CRC вычисленный: 0x{calculated_crc:08X}") + +assert received_crc == calculated_crc + +print("Результат: пакет не повреждён.") + + +# ============================================================ +# Имитация повреждения одного бита +# ============================================================ + +corrupted_packet = bytearray(packet) + +header_size = struct.calcsize(HEADER_FORMAT) + +# Буква S находится по индексу 13 внутри PAYLOAD. +payload_byte_index = 13 +packet_byte_index = header_size + payload_byte_index + +original_byte = corrupted_packet[packet_byte_index] + +# Меняем младший бит: +# S = 0x53 +# R = 0x52 +corrupted_packet[packet_byte_index] ^= 0x01 + +corrupted_byte = corrupted_packet[packet_byte_index] + + +print("\n--- Повреждение одного бита ---") + +print( + f"До повреждения: " + f"0x{original_byte:02X} = {original_byte:08b}" +) + +print( + f"После повреждения: " + f"0x{corrupted_byte:02X} = {corrupted_byte:08b}" +) + + +# ============================================================ +# Проверка повреждённого пакета +# ============================================================ + +corrupted_data = bytes( + corrupted_packet[:-CRC_SIZE] +) + +corrupted_crc_bytes = bytes( + corrupted_packet[-CRC_SIZE:] +) + +(received_crc_after_corruption,) = struct.unpack( + CRC_FORMAT, + corrupted_crc_bytes, +) + +calculated_crc_after_corruption = ( + zlib.crc32(corrupted_data) & 0xFFFFFFFF +) + + +print("\n--- Проверка повреждённого пакета ---") + +print( + f"CRC из пакета: " + f"0x{received_crc_after_corruption:08X}" +) + +print( + f"CRC вычисленный: " + f"0x{calculated_crc_after_corruption:08X}" +) + + +if received_crc_after_corruption != calculated_crc_after_corruption: + print("\nРезультат: CRC обнаружил повреждение пакета.") +else: + print("\nРезультат: повреждение не обнаружено.") + + +# ============================================================ +# Показываем повреждённое сообщение +# ============================================================ + +corrupted_payload = corrupted_data[header_size:] + +corrupted_message = corrupted_payload.decode("utf-8") + +print("\nСообщение внутри повреждённого пакета:") +print(corrupted_message) + + +# ============================================================ +# Автоматические проверки +# ============================================================ + +assert corrupted_message == "ПРИВЕТ RDR" + +assert ( + received_crc_after_corruption + != calculated_crc_after_corruption +) + +print("\nПроверка пройдена: CRC-32 обнаружил изменение одного бита.") \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab004_protocol_module.py b/Projects/SDR_Rover/tests/lab004_protocol_module.py new file mode 100644 index 0000000..02cd93c --- /dev/null +++ b/Projects/SDR_Rover/tests/lab004_protocol_module.py @@ -0,0 +1,120 @@ +# -*- coding: utf-8 -*- +""" +Created on Fri Jul 10 17:19:11 2026 + +@author: user +""" + +""" +Lab004. Проверка модуля protocol.packet. + +Проверяем: +1. Формирование пакета. +2. Разбор исправного пакета. +3. Восстановление текста. +4. Обнаружение повреждения CRC. +""" + +from protocol.packet import ( + CRCError, + HEADER_SIZE, + MESSAGE_TYPE_TEXT, + build_packet, + parse_packet, +) + + +# ============================================================ +# Формирование пакета +# ============================================================ + +message = "ПРИВЕТ SDR" +payload = message.encode("utf-8") + +sequence_number = 7 + +packet = build_packet( + payload=payload, + message_type=MESSAGE_TYPE_TEXT, + sequence_number=sequence_number, +) + + +print("Исходное сообщение:") +print(message) + +print("\nСформированный пакет:") +print(packet.hex(" ")) + +print("\nРазмер пакета:") +print(len(packet), "байт") + + +# ============================================================ +# Разбор исправного пакета +# ============================================================ + +parsed_packet = parse_packet(packet) + +restored_message = parsed_packet.payload.decode("utf-8") + + +print("\n--- Разобранный пакет ---") + +print("Версия:") +print(parsed_packet.version) + +print("\nТип сообщения:") +print(parsed_packet.message_type) + +print("\nПорядковый номер:") +print(parsed_packet.sequence_number) + +print("\nПолезная нагрузка:") +print(parsed_packet.payload) + +print("\nВосстановленное сообщение:") +print(restored_message) + + +assert parsed_packet.message_type == MESSAGE_TYPE_TEXT +assert parsed_packet.sequence_number == sequence_number +assert restored_message == message + +print("\nИсправный пакет успешно разобран.") + + +# ============================================================ +# Повреждение одного бита +# ============================================================ + +corrupted_packet = bytearray(packet) + +# В строке "ПРИВЕТ SDR" буква S находится +# по индексу 13 внутри полезной нагрузки. +payload_byte_index = 13 + +packet_byte_index = ( + HEADER_SIZE + payload_byte_index +) + +corrupted_packet[packet_byte_index] ^= 0x01 + + +print("\n--- Проверка повреждённого пакета ---") + + +try: + parse_packet(corrupted_packet) + +except CRCError as error: + print("Повреждение обнаружено.") + print(error) + +else: + raise AssertionError( + "Ошибка: повреждённый пакет был принят как исправный" + ) + + +print("\nВсе проверки Lab004 успешно выполнены.") \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab005_virtual_channel.py b/Projects/SDR_Rover/tests/lab005_virtual_channel.py new file mode 100644 index 0000000..545a257 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab005_virtual_channel.py @@ -0,0 +1,254 @@ +""" +Lab005. Передача пакетов через виртуальный радиоканал. + +Эксперимент: +1. Формируем 100 цифровых пакетов. +2. Передаём их через виртуальный канал. +3. Канал может: + - полностью потерять пакет; + - изменить отдельные биты. +4. Приёмник проверяет структуру пакета и CRC-32. +5. Выводится статистика доставки. +""" + +import random + +from protocol.packet import ( + CRCError, + MESSAGE_TYPE_TEXT, + PacketError, + build_packet, + parse_packet, +) + +from tools.virtual_channel import transmit + + +# ============================================================ +# Настройки эксперимента +# ============================================================ + +# Количество передаваемых пакетов. +PACKET_COUNT = 100 + +# Вероятность полной потери одного пакета. +# +# 0.10 означает 10 %. +DROP_PROBABILITY = 0.10 + +# Вероятность повреждения каждого отдельного бита. +# +# 0.002 означает: +# 0,2 % вероятности ошибки для каждого бита. +BIT_ERROR_PROBABILITY = 0.002 + +# Генератор случайных чисел. +# +# Число 2026 позволяет получать одинаковый результат +# при каждом запуске программы. +random_generator = random.Random(2026) + + +# ============================================================ +# Счётчики результатов +# ============================================================ + +sent_packets = 0 + +# Пакеты, полностью исчезнувшие в канале. +dropped_packets = 0 + +# Доставленные, но повреждённые пакеты. +rejected_packets = 0 + +# Пакеты, правильно принятые и разобранные. +received_ok = 0 + +# Общее количество изменённых битов. +total_flipped_bits = 0 + + +# ============================================================ +# Передача серии пакетов +# ============================================================ + +for sequence_number in range(PACKET_COUNT): + + # Создаём уникальное сообщение для каждого пакета. + message = f"ПАКЕТ {sequence_number}" + + # Текст превращается в байты UTF-8. + payload = message.encode("utf-8") + + # Формируем полный пакет с заголовком и CRC-32. + packet = build_packet( + payload=payload, + message_type=MESSAGE_TYPE_TEXT, + sequence_number=sequence_number, + ) + + sent_packets += 1 + + # Передаём пакет через виртуальный канал. + received_packet, flipped_bits = transmit( + packet=packet, + drop_probability=DROP_PROBABILITY, + bit_error_probability=BIT_ERROR_PROBABILITY, + random_generator=random_generator, + ) + + total_flipped_bits += flipped_bits + + # None означает, что пакет полностью потерян. + if received_packet is None: + dropped_packets += 1 + continue + + # Пытаемся разобрать принятый пакет. + try: + parsed_packet = parse_packet(received_packet) + + except (CRCError, PacketError): + # CRCError: + # контрольная сумма не совпала. + # + # PacketError: + # повреждены SYNC, версия, длина + # или другая часть структуры. + rejected_packets += 1 + continue + + # Восстанавливаем текст из полезной нагрузки. + restored_message = parsed_packet.payload.decode("utf-8") + + # Проверяем, что получен именно тот пакет, + # который был передан. + assert parsed_packet.sequence_number == sequence_number + assert restored_message == message + + received_ok += 1 + + +# ============================================================ +# Вывод настроек +# ============================================================ + +print("=== Lab005. Виртуальный канал ===") + +print("\nНастройки эксперимента:") + +print( + "Количество пакетов:", + PACKET_COUNT, +) + +print( + "Вероятность полной потери пакета:", + DROP_PROBABILITY, +) + +print( + "Вероятность ошибки отдельного бита:", + BIT_ERROR_PROBABILITY, +) + + +# ============================================================ +# Вывод результатов +# ============================================================ + +print("\nРезультаты:") + +print( + "Передано пакетов:", + sent_packets, +) + +print( + "Потеряно полностью:", + dropped_packets, +) + +print( + "Отклонено из-за повреждений:", + rejected_packets, +) + +print( + "Принято правильно:", + received_ok, +) + +print( + "Всего изменено битов:", + total_flipped_bits, +) + + +# ============================================================ +# Расчёт процентов +# ============================================================ + +delivery_rate = ( + received_ok + / sent_packets + * 100 +) + +drop_rate = ( + dropped_packets + / sent_packets + * 100 +) + +rejection_rate = ( + rejected_packets + / sent_packets + * 100 +) + +packet_failure_rate = ( + dropped_packets + + rejected_packets +) / sent_packets * 100 + + +print("\nСтатистика:") + +print( + f"Успешно доставлено: " + f"{delivery_rate:.1f} %" +) + +print( + f"Потеряно полностью: " + f"{drop_rate:.1f} %" +) + +print( + f"Отклонено приёмником: " + f"{rejection_rate:.1f} %" +) + +print( + f"Общая доля недоставленных пакетов: " + f"{packet_failure_rate:.1f} %" +) + + +# ============================================================ +# Контроль правильности +# ============================================================ + +accounted_packets = ( + received_ok + + dropped_packets + + rejected_packets +) + +assert accounted_packets == sent_packets + +print( + "\nПроверка пройдена: " + "все переданные пакеты учтены." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab006_stop_and_wait_arq.py b/Projects/SDR_Rover/tests/lab006_stop_and_wait_arq.py new file mode 100644 index 0000000..f62efaa --- /dev/null +++ b/Projects/SDR_Rover/tests/lab006_stop_and_wait_arq.py @@ -0,0 +1,325 @@ +""" +Lab006. Надёжная передача пакетов методом Stop-and-Wait ARQ. + +Передатчик: +1. Отправляет пакет. +2. Ожидает подтверждение ACK. +3. При отсутствии правильного ACK повторяет передачу. +4. После исчерпания попыток считает сообщение недоставленным. + +Приёмник: +1. Проверяет пакет. +2. Отбрасывает повреждённые пакеты. +3. Отправляет ACK для правильного пакета. +4. Не передаёт приложению повторные копии одного сообщения. +""" + +import random + +from protocol.packet import ( + CRCError, + MESSAGE_TYPE_ACK, + MESSAGE_TYPE_TEXT, + PacketError, + build_packet, + parse_packet, +) + +from tools.virtual_channel import transmit + + +# ============================================================ +# Настройки эксперимента +# ============================================================ + +MESSAGE_COUNT = 100 + +# Максимальное количество передач одного сообщения. +MAX_ATTEMPTS = 5 + +# Параметры канала от передатчика к приёмнику. +DATA_DROP_PROBABILITY = 0.10 +DATA_BIT_ERROR_PROBABILITY = 0.002 + +# Параметры обратного канала для ACK. +ACK_DROP_PROBABILITY = 0.10 +ACK_BIT_ERROR_PROBABILITY = 0.002 + +# Фиксированное число делает эксперимент повторяемым. +random_generator = random.Random(2026) + + +# ============================================================ +# Счётчики +# ============================================================ + +delivered_messages = 0 +failed_messages = 0 + +data_transmissions = 0 +ack_transmissions = 0 + +duplicate_packets = 0 + +invalid_data_packets = 0 +invalid_ack_packets = 0 + +dropped_data_packets = 0 +dropped_ack_packets = 0 + +# Номера пакетов, уже переданных приложению приёмника. +received_sequences = set() + + +# ============================================================ +# Передача сообщений +# ============================================================ + +for sequence_number in range(MESSAGE_COUNT): + + message = f"ПАКЕТ {sequence_number}" + payload = message.encode("utf-8") + + data_packet = build_packet( + payload=payload, + message_type=MESSAGE_TYPE_TEXT, + sequence_number=sequence_number, + ) + + message_confirmed = False + + # Повторяем передачу до MAX_ATTEMPTS раз. + for attempt_number in range(1, MAX_ATTEMPTS + 1): + + data_transmissions += 1 + + received_data_packet, _ = transmit( + packet=data_packet, + drop_probability=DATA_DROP_PROBABILITY, + bit_error_probability=DATA_BIT_ERROR_PROBABILITY, + random_generator=random_generator, + ) + + # Пакет полностью потерялся. + if received_data_packet is None: + dropped_data_packets += 1 + continue + + # Приёмник проверяет пакет. + try: + parsed_data = parse_packet(received_data_packet) + + except (CRCError, PacketError): + invalid_data_packets += 1 + continue + + # Проверка типа сообщения. + if parsed_data.message_type != MESSAGE_TYPE_TEXT: + invalid_data_packets += 1 + continue + + # Проверяем, не получали ли мы этот пакет ранее. + if parsed_data.sequence_number in received_sequences: + duplicate_packets += 1 + + else: + restored_message = parsed_data.payload.decode("utf-8") + + assert restored_message == message + + received_sequences.add( + parsed_data.sequence_number + ) + + # Формируем подтверждение. + # + # ACK имеет тот же sequence_number, + # что и подтверждаемый пакет. + ack_packet = build_packet( + payload=b"", + message_type=MESSAGE_TYPE_ACK, + sequence_number=parsed_data.sequence_number, + ) + + ack_transmissions += 1 + + received_ack_packet, _ = transmit( + packet=ack_packet, + drop_probability=ACK_DROP_PROBABILITY, + bit_error_probability=ACK_BIT_ERROR_PROBABILITY, + random_generator=random_generator, + ) + + # ACK полностью потерялся. + if received_ack_packet is None: + dropped_ack_packets += 1 + continue + + # Передатчик проверяет ACK. + try: + parsed_ack = parse_packet(received_ack_packet) + + except (CRCError, PacketError): + invalid_ack_packets += 1 + continue + + # ACK должен иметь правильный тип и номер. + if ( + parsed_ack.message_type != MESSAGE_TYPE_ACK + or parsed_ack.sequence_number != sequence_number + ): + invalid_ack_packets += 1 + continue + + # Подтверждение получено. + message_confirmed = True + break + + if message_confirmed: + delivered_messages += 1 + else: + failed_messages += 1 + + +# ============================================================ +# Расчёт статистики +# ============================================================ + +delivery_rate = ( + delivered_messages + / MESSAGE_COUNT + * 100 +) + +failure_rate = ( + failed_messages + / MESSAGE_COUNT + * 100 +) + +average_data_transmissions = ( + data_transmissions + / MESSAGE_COUNT +) + + +# ============================================================ +# Вывод результата +# ============================================================ + +print("=== Lab006. Stop-and-Wait ARQ ===") + +print("\nНастройки:") + +print("Количество сообщений:", MESSAGE_COUNT) +print("Максимум попыток:", MAX_ATTEMPTS) + +print( + "Вероятность потери DATA:", + DATA_DROP_PROBABILITY, +) + +print( + "Вероятность битовой ошибки DATA:", + DATA_BIT_ERROR_PROBABILITY, +) + +print( + "Вероятность потери ACK:", + ACK_DROP_PROBABILITY, +) + +print( + "Вероятность битовой ошибки ACK:", + ACK_BIT_ERROR_PROBABILITY, +) + + +print("\nОсновные результаты:") + +print( + "Успешно подтверждено сообщений:", + delivered_messages, +) + +print( + "Не подтверждено сообщений:", + failed_messages, +) + +print( + f"Доля успешной доставки: " + f"{delivery_rate:.1f} %" +) + +print( + f"Доля недоставленных сообщений: " + f"{failure_rate:.1f} %" +) + + +print("\nПередачи:") + +print( + "Всего передач DATA:", + data_transmissions, +) + +print( + "Всего передач ACK:", + ack_transmissions, +) + +print( + f"Среднее число передач DATA " + f"на одно сообщение: " + f"{average_data_transmissions:.2f}" +) + + +print("\nОшибки канала:") + +print( + "Полностью потеряно DATA:", + dropped_data_packets, +) + +print( + "Повреждено DATA:", + invalid_data_packets, +) + +print( + "Полностью потеряно ACK:", + dropped_ack_packets, +) + +print( + "Повреждено ACK:", + invalid_ack_packets, +) + +print( + "Получено повторных DATA-пакетов:", + duplicate_packets, +) + + +# ============================================================ +# Автоматические проверки +# ============================================================ + +assert ( + delivered_messages + + failed_messages + == MESSAGE_COUNT +) + +assert delivered_messages <= len(received_sequences) + +assert data_transmissions >= MESSAGE_COUNT + +print( + "\nПроверка пройдена: " + "все сообщения учтены." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab007_image_fragmentation.py b/Projects/SDR_Rover/tests/lab007_image_fragmentation.py new file mode 100644 index 0000000..e05c6a2 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab007_image_fragmentation.py @@ -0,0 +1,270 @@ +""" +Lab007. Разбиение JPEG на фрагменты и обратная сборка. + +Этапы: +1. Создание тестового JPEG. +2. Чтение файла как последовательности байтов. +3. Разбиение изображения на фрагменты. +4. Формирование цифрового пакета для каждого фрагмента. +5. Перемешивание порядка доставки пакетов. +6. Проверка CRC и разбор пакетов. +7. Обратная сборка изображения. +8. Сравнение контрольных сумм файлов. +""" + +from hashlib import sha256 +from pathlib import Path +import random + +from PIL import Image + +from protocol.image_fragments import ( + decode_image_fragment, + encode_image_fragment, + reassemble_image, + split_image_bytes, +) + +from protocol.packet import ( + MESSAGE_TYPE_IMAGE_FRAGMENT, + build_packet, + parse_packet, +) + + +# ============================================================ +# Настройки +# ============================================================ + +IMAGE_WIDTH = 320 +IMAGE_HEIGHT = 240 + +IMAGE_ID = 20260713 + +FRAGMENT_DATA_SIZE = 512 + +random_generator = random.Random(2026) + + +# ============================================================ +# Пути к файлам +# ============================================================ + +source_directory = Path("data/raw") +received_directory = Path("data/received") + +source_directory.mkdir( + parents=True, + exist_ok=True, +) + +received_directory.mkdir( + parents=True, + exist_ok=True, +) + +source_path = ( + source_directory + / "lab007_source.jpg" +) + +received_path = ( + received_directory + / "lab007_reassembled.jpg" +) + + +# ============================================================ +# Создание тестового JPEG +# ============================================================ + +image = Image.new( + "RGB", + (IMAGE_WIDTH, IMAGE_HEIGHT), +) + +pixels = image.load() + +for y in range(IMAGE_HEIGHT): + for x in range(IMAGE_WIDTH): + + red = ( + x * 255 + // (IMAGE_WIDTH - 1) + ) + + green = ( + y * 255 + // (IMAGE_HEIGHT - 1) + ) + + blue = ( + (x + y) * 255 + // ( + IMAGE_WIDTH + + IMAGE_HEIGHT + - 2 + ) + ) + + pixels[x, y] = ( + red, + green, + blue, + ) + +image.save( + source_path, + format="JPEG", + quality=60, + optimize=True, +) + + +# ============================================================ +# Чтение изображения +# ============================================================ + +source_bytes = source_path.read_bytes() + +source_hash = sha256( + source_bytes +).hexdigest() + + +# ============================================================ +# Разбиение изображения на фрагменты +# ============================================================ + +fragments = split_image_bytes( + image_bytes=source_bytes, + image_id=IMAGE_ID, + fragment_data_size=FRAGMENT_DATA_SIZE, +) + + +# ============================================================ +# Формирование цифровых пакетов +# ============================================================ + +packets = [] + +for fragment in fragments: + + fragment_payload = encode_image_fragment( + fragment + ) + + packet = build_packet( + payload=fragment_payload, + message_type=MESSAGE_TYPE_IMAGE_FRAGMENT, + sequence_number=fragment.fragment_index, + ) + + packets.append(packet) + + +# ============================================================ +# Имитация доставки в произвольном порядке +# ============================================================ + +random_generator.shuffle(packets) + +received_fragments = [] + +for packet in packets: + + parsed_packet = parse_packet(packet) + + assert ( + parsed_packet.message_type + == MESSAGE_TYPE_IMAGE_FRAGMENT + ) + + fragment = decode_image_fragment( + parsed_packet.payload + ) + + assert ( + parsed_packet.sequence_number + == fragment.fragment_index + ) + + received_fragments.append(fragment) + + +# ============================================================ +# Сборка изображения +# ============================================================ + +received_bytes = reassemble_image( + received_fragments +) + +received_path.write_bytes( + received_bytes +) + +received_hash = sha256( + received_bytes +).hexdigest() + + +# ============================================================ +# Проверки +# ============================================================ + +assert received_bytes == source_bytes +assert received_hash == source_hash + +with Image.open(received_path) as received_image: + received_image.verify() + + +# ============================================================ +# Результаты +# ============================================================ + +print("=== Lab007. Фрагментация изображения ===") + +print("\nИсходный файл:") +print(source_path) + +print("\nВосстановленный файл:") +print(received_path) + +print("\nРазмер изображения:") +print( + IMAGE_WIDTH, + "x", + IMAGE_HEIGHT, + "пикселей", +) + +print("\nРазмер JPEG:") +print( + len(source_bytes), + "байт", +) + +print("\nРазмер данных одного фрагмента:") +print( + FRAGMENT_DATA_SIZE, + "байт", +) + +print("\nКоличество фрагментов:") +print( + len(fragments) +) + +print("\nSHA-256 исходного файла:") +print(source_hash) + +print("\nSHA-256 восстановленного файла:") +print(received_hash) + +print( + "\nПроверка пройдена: " + "JPEG восстановлен байт в байт." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab008_image_transfer_arq.py b/Projects/SDR_Rover/tests/lab008_image_transfer_arq.py new file mode 100644 index 0000000..c6143b2 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab008_image_transfer_arq.py @@ -0,0 +1,428 @@ +""" +Lab008. Передача JPEG через виртуальный канал с ARQ. + +Этапы: +1. Чтение тестового JPEG из Lab007. +2. Разбиение файла на фрагменты. +3. Передача каждого фрагмента через виртуальный канал. +4. Проверка CRC на приёмнике. +5. Передача ACK по обратному каналу. +6. Повторная передача при потере или повреждении. +7. Сборка принятого JPEG. +8. Сравнение SHA-256 исходного и принятого файлов. +""" + +from hashlib import sha256 +from pathlib import Path +import random + +from PIL import Image + +from protocol.image_fragments import ( + ImageFragmentError, + decode_image_fragment, + encode_image_fragment, + reassemble_image, + split_image_bytes, +) + +from protocol.packet import ( + CRCError, + MESSAGE_TYPE_ACK, + MESSAGE_TYPE_IMAGE_FRAGMENT, + PacketError, + build_packet, + parse_packet, +) + +from tools.virtual_channel import transmit + + +# ============================================================ +# Настройки эксперимента +# ============================================================ + +IMAGE_ID = 20260713 +FRAGMENT_DATA_SIZE = 512 + +# Максимальное количество передач одного фрагмента. +MAX_ATTEMPTS = 12 + +# Прямой канал: передатчик → приёмник. +DATA_DROP_PROBABILITY = 0.10 +DATA_BIT_ERROR_PROBABILITY = 0.0002 + +# Обратный канал: приёмник → передатчик. +ACK_DROP_PROBABILITY = 0.10 +ACK_BIT_ERROR_PROBABILITY = 0.0002 + +# Фиксированное значение делает результат воспроизводимым. +random_generator = random.Random(2026) + + +# ============================================================ +# Пути к файлам +# ============================================================ + +source_path = Path( + "data/raw/lab007_source.jpg" +) + +received_path = Path( + "data/received/lab008_received.jpg" +) + +if not source_path.exists(): + raise FileNotFoundError( + "Не найден файл data/raw/lab007_source.jpg. " + "Сначала необходимо выполнить Lab007." + ) + +received_path.parent.mkdir( + parents=True, + exist_ok=True, +) + + +# ============================================================ +# Чтение и разбиение изображения +# ============================================================ + +source_bytes = source_path.read_bytes() + +source_hash = sha256( + source_bytes +).hexdigest() + +source_fragments = split_image_bytes( + image_bytes=source_bytes, + image_id=IMAGE_ID, + fragment_data_size=FRAGMENT_DATA_SIZE, +) + + +# ============================================================ +# Счётчики +# ============================================================ + +data_transmissions = 0 +ack_transmissions = 0 + +dropped_data_packets = 0 +invalid_data_packets = 0 + +dropped_ack_packets = 0 +invalid_ack_packets = 0 + +duplicate_data_packets = 0 + +flipped_data_bits = 0 +flipped_ack_bits = 0 + +confirmed_fragments = 0 +failed_fragment_indexes = [] + +# Принятые фрагменты хранятся по их номеру. +received_fragments = {} + +# Число попыток передачи каждого фрагмента. +attempts_per_fragment = {} + + +# ============================================================ +# Передача всех фрагментов +# ============================================================ + +for source_fragment in source_fragments: + + fragment_index = source_fragment.fragment_index + + fragment_payload = encode_image_fragment( + source_fragment + ) + + data_packet = build_packet( + payload=fragment_payload, + message_type=MESSAGE_TYPE_IMAGE_FRAGMENT, + sequence_number=fragment_index, + ) + + fragment_confirmed = False + + for attempt_number in range( + 1, + MAX_ATTEMPTS + 1, + ): + data_transmissions += 1 + + received_data_packet, changed_bits = transmit( + packet=data_packet, + drop_probability=DATA_DROP_PROBABILITY, + bit_error_probability=DATA_BIT_ERROR_PROBABILITY, + random_generator=random_generator, + ) + + flipped_data_bits += changed_bits + + # DATA полностью потерян. + if received_data_packet is None: + dropped_data_packets += 1 + continue + + # Проверка структуры и CRC. + try: + parsed_data_packet = parse_packet( + received_data_packet + ) + + except (CRCError, PacketError): + invalid_data_packets += 1 + continue + + if ( + parsed_data_packet.message_type + != MESSAGE_TYPE_IMAGE_FRAGMENT + ): + invalid_data_packets += 1 + continue + + # Разбор заголовка фрагмента изображения. + try: + received_fragment = decode_image_fragment( + parsed_data_packet.payload + ) + + except ImageFragmentError: + invalid_data_packets += 1 + continue + + # Проверяем согласованность номеров. + if ( + parsed_data_packet.sequence_number + != received_fragment.fragment_index + ): + invalid_data_packets += 1 + continue + + if received_fragment.image_id != IMAGE_ID: + invalid_data_packets += 1 + continue + + # Сохраняем новый фрагмент либо распознаём дубликат. + existing_fragment = received_fragments.get( + received_fragment.fragment_index + ) + + if existing_fragment is None: + received_fragments[ + received_fragment.fragment_index + ] = received_fragment + + else: + # DATA мог прийти повторно, если предыдущий ACK потерялся. + assert existing_fragment.data == received_fragment.data + duplicate_data_packets += 1 + + # ==================================================== + # Формирование ACK + # ==================================================== + + ack_packet = build_packet( + payload=b"", + message_type=MESSAGE_TYPE_ACK, + sequence_number=received_fragment.fragment_index, + ) + + ack_transmissions += 1 + + received_ack_packet, changed_ack_bits = transmit( + packet=ack_packet, + drop_probability=ACK_DROP_PROBABILITY, + bit_error_probability=ACK_BIT_ERROR_PROBABILITY, + random_generator=random_generator, + ) + + flipped_ack_bits += changed_ack_bits + + # ACK полностью потерян. + if received_ack_packet is None: + dropped_ack_packets += 1 + continue + + # Передатчик проверяет ACK. + try: + parsed_ack = parse_packet( + received_ack_packet + ) + + except (CRCError, PacketError): + invalid_ack_packets += 1 + continue + + if ( + parsed_ack.message_type != MESSAGE_TYPE_ACK + or parsed_ack.sequence_number != fragment_index + or parsed_ack.payload != b"" + ): + invalid_ack_packets += 1 + continue + + # Фрагмент успешно подтверждён. + fragment_confirmed = True + confirmed_fragments += 1 + + attempts_per_fragment[ + fragment_index + ] = attempt_number + + break + + if not fragment_confirmed: + failed_fragment_indexes.append( + fragment_index + ) + + attempts_per_fragment[ + fragment_index + ] = MAX_ATTEMPTS + + +# ============================================================ +# Результаты передачи +# ============================================================ + +print("=== Lab008. Передача JPEG с ARQ ===") + +print("\nИсходный файл:") +print(source_path) + +print("\nРазмер JPEG:") +print(len(source_bytes), "байт") + +print("\nКоличество фрагментов:") +print(len(source_fragments)) + +print("\nПодтверждено фрагментов:") +print(confirmed_fragments) + +print("\nПолучено уникальных фрагментов:") +print(len(received_fragments)) + +print("\nНе подтверждены фрагменты:") +print(failed_fragment_indexes) + + +print("\nПередачи:") + +print( + "Всего передач DATA:", + data_transmissions, +) + +print( + "Всего передач ACK:", + ack_transmissions, +) + + +print("\nОшибки прямого канала:") + +print( + "Полностью потеряно DATA:", + dropped_data_packets, +) + +print( + "Повреждено DATA:", + invalid_data_packets, +) + +print( + "Изменено битов DATA:", + flipped_data_bits, +) + + +print("\nОшибки обратного канала:") + +print( + "Полностью потеряно ACK:", + dropped_ack_packets, +) + +print( + "Повреждено ACK:", + invalid_ack_packets, +) + +print( + "Изменено битов ACK:", + flipped_ack_bits, +) + +print( + "Получено повторных DATA:", + duplicate_data_packets, +) + + +print("\nКоличество попыток по фрагментам:") + +for fragment_index in sorted( + attempts_per_fragment +): + print( + f"Фрагмент {fragment_index}: " + f"{attempts_per_fragment[fragment_index]}" + ) + + +# ============================================================ +# Сборка принятого изображения +# ============================================================ + +assert not failed_fragment_indexes + +assert ( + len(received_fragments) + == len(source_fragments) +) + +received_bytes = reassemble_image( + received_fragments.values() +) + +received_path.write_bytes( + received_bytes +) + +received_hash = sha256( + received_bytes +).hexdigest() + + +# ============================================================ +# Финальные проверки +# ============================================================ + +assert received_bytes == source_bytes +assert received_hash == source_hash + +with Image.open(received_path) as image: + image.verify() + + +print("\nSHA-256 исходного JPEG:") +print(source_hash) + +print("\nSHA-256 принятого JPEG:") +print(received_hash) + +print("\nПринятый файл:") +print(received_path) + +print( + "\nПроверка пройдена: " + "все фрагменты подтверждены, " + "JPEG восстановлен байт в байт." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab009_real_photo_estimate.py b/Projects/SDR_Rover/tests/lab009_real_photo_estimate.py new file mode 100644 index 0000000..96359a2 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab009_real_photo_estimate.py @@ -0,0 +1,450 @@ +""" +Lab009. Расчёт параметров передачи реальной фотографии. + +Программа: +1. Читает реальный JPEG-файл. +2. Определяет его разрешение и размер. +3. Разбивает файл на фрагменты. +4. Формирует реальные пакеты протокола. +5. Учитывает ACK для каждого фрагмента. +6. Рассчитывает время передачи при разных скоростях канала. + +Расчёт времени показывает чистое эфирное время без учёта: +- пауз между пакетами; +- обработки на передатчике и приёмнике; +- ожидания ACK; +- повторных передач; +- преамбулы и служебных символов физического уровня. +""" + +from pathlib import Path + +from PIL import Image + +from protocol.image_fragments import ( + FRAGMENT_HEADER_SIZE, + encode_image_fragment, + split_image_bytes, +) + +from protocol.packet import ( + CRC_SIZE, + HEADER_SIZE, + MESSAGE_TYPE_ACK, + MESSAGE_TYPE_IMAGE_FRAGMENT, + build_packet, +) + + +# ============================================================ +# Настройки +# ============================================================ + +SOURCE_PATH = Path( + "data/raw/lab009_source.jpg" +) + +IMAGE_ID = 20260713 + +# Сколько байтов JPEG помещается в один фрагмент. +FRAGMENT_DATA_SIZE = 512 + +# Скорости полезного цифрового канала в кбит/с. +BITRATES_KBPS = [ + 1, + 5, + 10, + 20, + 50, + 100, + 200, +] + + +# ============================================================ +# Вспомогательные функции +# ============================================================ + +def format_bytes(byte_count: int) -> str: + """ + Представить размер одновременно в байтах и килобайтах. + """ + + kibibytes = byte_count / 1024 + + return ( + f"{byte_count} байт " + f"({kibibytes:.2f} КиБ)" + ) + + +def format_duration(seconds: float) -> str: + """ + Представить длительность в удобной форме. + """ + + if seconds < 1: + return f"{seconds * 1000:.1f} мс" + + if seconds < 60: + return f"{seconds:.2f} с" + + minutes = int(seconds // 60) + remaining_seconds = seconds % 60 + + return ( + f"{minutes} мин " + f"{remaining_seconds:.1f} с" + ) + + +# ============================================================ +# Проверка исходного файла +# ============================================================ + +if not SOURCE_PATH.exists(): + raise FileNotFoundError( + f"Не найден файл: {SOURCE_PATH}" + ) + +source_bytes = SOURCE_PATH.read_bytes() + +if not source_bytes: + raise ValueError( + "Исходный JPEG-файл пуст" + ) + + +# ============================================================ +# Чтение параметров изображения +# ============================================================ + +with Image.open(SOURCE_PATH) as image: + + image_format = image.format + image_mode = image.mode + image_width, image_height = image.size + + # Проверяем, что файл действительно читается как изображение. + image.verify() + + +# ============================================================ +# Разбиение JPEG на фрагменты +# ============================================================ + +fragments = split_image_bytes( + image_bytes=source_bytes, + image_id=IMAGE_ID, + fragment_data_size=FRAGMENT_DATA_SIZE, +) + + +# ============================================================ +# Формирование DATA-пакетов +# ============================================================ + +data_packets = [] + +for fragment in fragments: + + fragment_payload = encode_image_fragment( + fragment + ) + + packet = build_packet( + payload=fragment_payload, + message_type=MESSAGE_TYPE_IMAGE_FRAGMENT, + sequence_number=fragment.fragment_index, + ) + + data_packets.append(packet) + + +# ============================================================ +# Формирование типового ACK-пакета +# ============================================================ + +ack_packet = build_packet( + payload=b"", + message_type=MESSAGE_TYPE_ACK, + sequence_number=0, +) + +ack_packet_size = len(ack_packet) + + +# ============================================================ +# Расчёт объёмов +# ============================================================ + +source_size = len(source_bytes) + +fragment_count = len(fragments) + +# Полный размер всех DATA-пакетов. +total_data_packet_bytes = sum( + len(packet) + for packet in data_packets +) + +# Для каждого DATA-пакета ожидается один ACK. +total_ack_bytes = ( + fragment_count + * ack_packet_size +) + +# Идеальный радиообмен: +# каждый DATA и каждый ACK переданы ровно один раз. +total_radio_bytes = ( + total_data_packet_bytes + + total_ack_bytes +) + +total_radio_bits = ( + total_radio_bytes + * 8 +) + + +# ============================================================ +# Детализация служебных расходов +# ============================================================ + +total_fragment_header_bytes = ( + fragment_count + * FRAGMENT_HEADER_SIZE +) + +data_protocol_overhead = ( + fragment_count + * (HEADER_SIZE + CRC_SIZE) +) + +total_overhead_bytes = ( + total_radio_bytes + - source_size +) + +payload_efficiency = ( + source_size + / total_radio_bytes + * 100 +) + + +# ============================================================ +# Вывод параметров фотографии +# ============================================================ + +print("=== Lab009. Расчёт передачи реальной фотографии ===") + +print("\nИсходный файл:") +print(SOURCE_PATH) + +print("\nФормат изображения:") +print(image_format) + +print("\nЦветовой режим:") +print(image_mode) + +print("\nРазрешение:") +print( + image_width, + "x", + image_height, + "пикселей", +) + +print("\nРазмер исходного JPEG:") +print( + format_bytes(source_size) +) + + +# ============================================================ +# Вывод структуры передачи +# ============================================================ + +print("\n--- Фрагментация ---") + +print( + "Размер данных одного полного фрагмента:", + FRAGMENT_DATA_SIZE, + "байт", +) + +print( + "Количество фрагментов:", + fragment_count, +) + +print( + "Размер заголовка фрагмента:", + FRAGMENT_HEADER_SIZE, + "байт", +) + +print( + "Размер заголовка основного пакета:", + HEADER_SIZE, + "байт", +) + +print( + "Размер CRC-32:", + CRC_SIZE, + "байт", +) + +print( + "Размер ACK-пакета:", + ack_packet_size, + "байт", +) + + +# ============================================================ +# Вывод полного объёма +# ============================================================ + +print("\n--- Объём передачи без повторов ---") + +print("Исходные данные JPEG:") +print( + format_bytes(source_size) +) + +print("\nЗаголовки фрагментов:") +print( + format_bytes(total_fragment_header_bytes) +) + +print("\nСлужебные поля и CRC DATA-пакетов:") +print( + format_bytes(data_protocol_overhead) +) + +print("\nВсе DATA-пакеты:") +print( + format_bytes(total_data_packet_bytes) +) + +print("\nВсе ACK-пакеты:") +print( + format_bytes(total_ack_bytes) +) + +print("\nПолный радиообмен DATA + ACK:") +print( + format_bytes(total_radio_bytes) +) + +print("\nОбщие служебные расходы:") +print( + format_bytes(total_overhead_bytes) +) + +print( + "\nПолезная эффективность протокола:" +) + +print( + f"{payload_efficiency:.2f} %" +) + + +# ============================================================ +# Расчёт времени передачи +# ============================================================ + +print("\n--- Чистое эфирное время ---") + +print( + "Скорость DATA без ACK DATA + ACK" +) + +for bitrate_kbps in BITRATES_KBPS: + + bitrate_bits_per_second = ( + bitrate_kbps + * 1000 + ) + + data_time_seconds = ( + total_data_packet_bytes + * 8 + / bitrate_bits_per_second + ) + + full_time_seconds = ( + total_radio_bits + / bitrate_bits_per_second + ) + + print( + f"{bitrate_kbps:>4} кбит/с" + f" " + f"{format_duration(data_time_seconds):>12}" + f" " + f"{format_duration(full_time_seconds):>12}" + ) + + +# ============================================================ +# Сценарий с повторами +# ============================================================ + +# Коэффициент 2 означает, что суммарно передано +# примерно в два раза больше байтов из-за ошибок, +# потерь и повторных передач. +RETRY_TRAFFIC_MULTIPLIER = 2.0 + +print( + "\n--- Оценка при удвоении трафика из-за повторов ---" +) + +for bitrate_kbps in BITRATES_KBPS: + + bitrate_bits_per_second = ( + bitrate_kbps + * 1000 + ) + + estimated_seconds = ( + total_radio_bits + * RETRY_TRAFFIC_MULTIPLIER + / bitrate_bits_per_second + ) + + print( + f"{bitrate_kbps:>4} кбит/с" + f" " + f"{format_duration(estimated_seconds)}" + ) + + +# ============================================================ +# Автоматические проверки +# ============================================================ + +assert fragment_count > 0 + +assert ( + total_data_packet_bytes + > source_size +) + +assert ( + total_radio_bytes + > total_data_packet_bytes +) + +assert ( + 0 < payload_efficiency < 100 +) + +print( + "\nПроверка пройдена: " + "параметры передачи фотографии рассчитаны." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab010_image_optimization.py b/Projects/SDR_Rover/tests/lab010_image_optimization.py new file mode 100644 index 0000000..ab3d91f --- /dev/null +++ b/Projects/SDR_Rover/tests/lab010_image_optimization.py @@ -0,0 +1,785 @@ +""" +Lab010. Оптимизация изображения для слабого радиоканала. + +Программа формирует несколько вариантов одного кадра: + +1. Исходный JPEG. +2. Цветной кадр до 640x480. +3. Серый кадр до 640x480. +4. Серый кадр до 320x240, JPEG quality 30. +5. Серый кадр до 320x240, JPEG quality 15. +6. Карта контуров 320x240. +7. Серый кадр с наложенными контурами. + +Для каждого варианта рассчитываются: + +- размер JPEG; +- число фрагментов; +- полный объём DATA + ACK; +- эффективность протокола; +- время передачи на нескольких скоростях; +- время при удвоении трафика из-за повторов. +""" + +from csv import DictWriter +from hashlib import sha256 +from math import ceil +from pathlib import Path + +from PIL import ( + Image, + ImageDraw, + ImageFilter, + ImageOps, +) + +from protocol.image_fragments import ( + encode_image_fragment, + split_image_bytes, +) + +from protocol.packet import ( + MESSAGE_TYPE_ACK, + MESSAGE_TYPE_IMAGE_FRAGMENT, + build_packet, +) + + +# ============================================================ +# Настройки +# ============================================================ + +SOURCE_PATH = Path( + "data/raw/lab009_source.jpg" +) + +OUTPUT_DIRECTORY = Path( + "data/processed/lab010" +) + +FRAGMENT_DATA_SIZE = 512 + +IMAGE_ID_BASE = 2026071300 + +BITRATES_KBPS = [ + 5, + 10, + 20, + 50, + 100, +] + + +# ============================================================ +# Вспомогательные функции +# ============================================================ + +def resize_inside( + image: Image.Image, + maximum_size: tuple[int, int], +) -> Image.Image: + """ + Уменьшить изображение с сохранением пропорций. + + Изображение не растягивается и не искажается. + """ + + resized_image = image.copy() + + resized_image.thumbnail( + maximum_size, + Image.Resampling.LANCZOS, + ) + + return resized_image + + +def save_jpeg( + image: Image.Image, + output_path: Path, + quality: int, +) -> None: + """ + Сохранить изображение в JPEG. + """ + + output_path.parent.mkdir( + parents=True, + exist_ok=True, + ) + + image.save( + output_path, + format="JPEG", + quality=quality, + optimize=True, + ) + + +def format_bytes(byte_count: int) -> str: + """ + Представить размер в КиБ. + """ + + return f"{byte_count / 1024:.2f} КиБ" + + +def format_duration(seconds: float) -> str: + """ + Представить время в удобной форме. + """ + + if seconds < 1: + return f"{seconds * 1000:.0f} мс" + + if seconds < 60: + return f"{seconds:.2f} с" + + minutes = int(seconds // 60) + remaining_seconds = seconds % 60 + + return ( + f"{minutes} мин " + f"{remaining_seconds:.1f} с" + ) + + +def estimate_transfer( + file_path: Path, + image_id: int, +) -> dict: + """ + Рассчитать параметры передачи одного JPEG. + """ + + image_bytes = file_path.read_bytes() + + fragments = split_image_bytes( + image_bytes=image_bytes, + image_id=image_id, + fragment_data_size=FRAGMENT_DATA_SIZE, + ) + + total_data_packet_bytes = 0 + + for fragment in fragments: + + fragment_payload = encode_image_fragment( + fragment + ) + + packet = build_packet( + payload=fragment_payload, + message_type=MESSAGE_TYPE_IMAGE_FRAGMENT, + sequence_number=fragment.fragment_index, + ) + + total_data_packet_bytes += len(packet) + + ack_packet = build_packet( + payload=b"", + message_type=MESSAGE_TYPE_ACK, + sequence_number=0, + ) + + total_ack_bytes = ( + len(fragments) + * len(ack_packet) + ) + + total_radio_bytes = ( + total_data_packet_bytes + + total_ack_bytes + ) + + efficiency_percent = ( + len(image_bytes) + / total_radio_bytes + * 100 + ) + + transfer_times = {} + + for bitrate_kbps in BITRATES_KBPS: + + bitrate_bits_per_second = ( + bitrate_kbps * 1000 + ) + + transfer_times[bitrate_kbps] = ( + total_radio_bytes + * 8 + / bitrate_bits_per_second + ) + + return { + "file_size_bytes": len(image_bytes), + "fragment_count": len(fragments), + "data_packet_bytes": total_data_packet_bytes, + "ack_bytes": total_ack_bytes, + "total_radio_bytes": total_radio_bytes, + "efficiency_percent": efficiency_percent, + "transfer_times": transfer_times, + "sha256": sha256(image_bytes).hexdigest(), + } + + +# ============================================================ +# Проверка исходной фотографии +# ============================================================ + +if not SOURCE_PATH.exists(): + raise FileNotFoundError( + f"Не найден исходный файл: {SOURCE_PATH}" + ) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + + +# ============================================================ +# Чтение исходного изображения +# ============================================================ + +with Image.open(SOURCE_PATH) as source_image: + + source_image.load() + + source_rgb = source_image.convert("RGB") + + original_width, original_height = ( + source_rgb.size + ) + + +# ============================================================ +# Формирование вариантов изображения +# ============================================================ + +variant_paths = [] + +# ------------------------------------------------------------ +# Вариант 0. Исходный JPEG без изменения +# ------------------------------------------------------------ + +variant_paths.append( + ( + "00_original", + SOURCE_PATH, + ) +) + + +# ------------------------------------------------------------ +# Вариант 1. Цветной кадр до 640x480, quality 40 +# ------------------------------------------------------------ + +color_640 = resize_inside( + source_rgb, + (640, 480), +) + +color_640_path = ( + OUTPUT_DIRECTORY + / "01_color_640_q40.jpg" +) + +save_jpeg( + color_640, + color_640_path, + quality=40, +) + +variant_paths.append( + ( + "01_color_640_q40", + color_640_path, + ) +) + + +# ------------------------------------------------------------ +# Вариант 2. Серый кадр до 640x480, quality 40 +# ------------------------------------------------------------ + +gray_640 = ImageOps.grayscale( + color_640 +) + +gray_640_path = ( + OUTPUT_DIRECTORY + / "02_gray_640_q40.jpg" +) + +save_jpeg( + gray_640, + gray_640_path, + quality=40, +) + +variant_paths.append( + ( + "02_gray_640_q40", + gray_640_path, + ) +) + + +# ------------------------------------------------------------ +# Вариант 3. Серый кадр до 320x240, quality 30 +# ------------------------------------------------------------ + +color_320 = resize_inside( + source_rgb, + (320, 240), +) + +gray_320 = ImageOps.grayscale( + color_320 +) + +gray_320_q30_path = ( + OUTPUT_DIRECTORY + / "03_gray_320_q30.jpg" +) + +save_jpeg( + gray_320, + gray_320_q30_path, + quality=30, +) + +variant_paths.append( + ( + "03_gray_320_q30", + gray_320_q30_path, + ) +) + + +# ------------------------------------------------------------ +# Вариант 4. Серый кадр до 320x240, quality 15 +# ------------------------------------------------------------ + +gray_320_q15_path = ( + OUTPUT_DIRECTORY + / "04_gray_320_q15.jpg" +) + +save_jpeg( + gray_320, + gray_320_q15_path, + quality=15, +) + +variant_paths.append( + ( + "04_gray_320_q15", + gray_320_q15_path, + ) +) + + +# ------------------------------------------------------------ +# Вариант 5. Только контуры +# ------------------------------------------------------------ + +edge_map = gray_320.filter( + ImageFilter.FIND_EDGES +) + +edge_map = ImageOps.autocontrast( + edge_map +) + +# Инвертируем: белый фон, тёмные контуры. +edge_map = ImageOps.invert( + edge_map +) + +edges_path = ( + OUTPUT_DIRECTORY + / "05_edges_320_q40.jpg" +) + +save_jpeg( + edge_map, + edges_path, + quality=40, +) + +variant_paths.append( + ( + "05_edges_320_q40", + edges_path, + ) +) + + +# ------------------------------------------------------------ +# Вариант 6. Серый кадр с усиленными контурами +# ------------------------------------------------------------ + +gray_edges_overlay = Image.blend( + gray_320, + edge_map, + alpha=0.25, +) + +gray_edges_path = ( + OUTPUT_DIRECTORY + / "06_gray_edges_320_q30.jpg" +) + +save_jpeg( + gray_edges_overlay, + gray_edges_path, + quality=30, +) + +variant_paths.append( + ( + "06_gray_edges_320_q30", + gray_edges_path, + ) +) + + +# ============================================================ +# Расчёт параметров всех вариантов +# ============================================================ + +results = [] + +for variant_number, ( + variant_name, + variant_path, +) in enumerate(variant_paths): + + with Image.open(variant_path) as variant_image: + + width, height = variant_image.size + mode = variant_image.mode + + transfer_result = estimate_transfer( + file_path=variant_path, + image_id=IMAGE_ID_BASE + variant_number, + ) + + result = { + "name": variant_name, + "path": str(variant_path), + "width": width, + "height": height, + "mode": mode, + **transfer_result, + } + + results.append(result) + + +# ============================================================ +# Создание сравнительной картинки +# ============================================================ + +CONTACT_SHEET_COLUMNS = 3 +CONTACT_SHEET_CELL_WIDTH = 360 +CONTACT_SHEET_CELL_HEIGHT = 290 + +contact_sheet_rows = ceil( + len(results) + / CONTACT_SHEET_COLUMNS +) + +contact_sheet = Image.new( + "RGB", + ( + CONTACT_SHEET_COLUMNS + * CONTACT_SHEET_CELL_WIDTH, + contact_sheet_rows + * CONTACT_SHEET_CELL_HEIGHT, + ), + "white", +) + +draw = ImageDraw.Draw( + contact_sheet +) + +for result_index, result in enumerate(results): + + column = ( + result_index + % CONTACT_SHEET_COLUMNS + ) + + row = ( + result_index + // CONTACT_SHEET_COLUMNS + ) + + cell_x = ( + column + * CONTACT_SHEET_CELL_WIDTH + ) + + cell_y = ( + row + * CONTACT_SHEET_CELL_HEIGHT + ) + + with Image.open(result["path"]) as variant_image: + + preview = variant_image.convert("RGB") + + preview.thumbnail( + (330, 220), + Image.Resampling.LANCZOS, + ) + + paste_x = ( + cell_x + + ( + CONTACT_SHEET_CELL_WIDTH + - preview.width + ) + // 2 + ) + + paste_y = ( + cell_y + 35 + ) + + contact_sheet.paste( + preview, + (paste_x, paste_y), + ) + + label = ( + f"{result['name']}\n" + f"{format_bytes(result['file_size_bytes'])}, " + f"{result['fragment_count']} fragments" + ) + + draw.text( + (cell_x + 10, cell_y + 8), + label, + fill="black", + ) + +contact_sheet_path = ( + OUTPUT_DIRECTORY + / "lab010_comparison.jpg" +) + +contact_sheet.save( + contact_sheet_path, + format="JPEG", + quality=90, +) + + +# ============================================================ +# Сохранение таблицы CSV +# ============================================================ + +csv_path = ( + OUTPUT_DIRECTORY + / "lab010_results.csv" +) + +csv_fieldnames = [ + "name", + "path", + "width", + "height", + "mode", + "file_size_bytes", + "fragment_count", + "total_radio_bytes", + "efficiency_percent", + "time_5_kbps", + "time_10_kbps", + "time_20_kbps", + "time_50_kbps", + "time_100_kbps", + "time_20_kbps_with_retries_x2", +] + +with csv_path.open( + "w", + newline="", + encoding="utf-8-sig", +) as csv_file: + + writer = DictWriter( + csv_file, + fieldnames=csv_fieldnames, + ) + + writer.writeheader() + + for result in results: + + writer.writerow( + { + "name": result["name"], + "path": result["path"], + "width": result["width"], + "height": result["height"], + "mode": result["mode"], + "file_size_bytes": ( + result["file_size_bytes"] + ), + "fragment_count": ( + result["fragment_count"] + ), + "total_radio_bytes": ( + result["total_radio_bytes"] + ), + "efficiency_percent": ( + f"{result['efficiency_percent']:.2f}" + ), + "time_5_kbps": ( + result["transfer_times"][5] + ), + "time_10_kbps": ( + result["transfer_times"][10] + ), + "time_20_kbps": ( + result["transfer_times"][20] + ), + "time_50_kbps": ( + result["transfer_times"][50] + ), + "time_100_kbps": ( + result["transfer_times"][100] + ), + "time_20_kbps_with_retries_x2": ( + result["transfer_times"][20] + * 2 + ), + } + ) + + +# ============================================================ +# Вывод результатов +# ============================================================ + +print( + "=== Lab010. Оптимизация изображения ===" +) + +print("\nИсходное разрешение:") + +print( + original_width, + "x", + original_height, +) + + +print("\nСравнение вариантов:") + +print( + f"{'Вариант':<28}" + f"{'Размер':>12}" + f"{'Фрагм.':>9}" + f"{'10 кбит/с':>13}" + f"{'20 кбит/с':>13}" + f"{'50 кбит/с':>13}" + f"{'20 кбит/с x2':>16}" +) + +print("-" * 104) + +for result in results: + + print( + f"{result['name']:<28}" + f"{format_bytes(result['file_size_bytes']):>12}" + f"{result['fragment_count']:>9}" + f"{format_duration(result['transfer_times'][10]):>13}" + f"{format_duration(result['transfer_times'][20]):>13}" + f"{format_duration(result['transfer_times'][50]):>13}" + f"{format_duration(result['transfer_times'][20] * 2):>16}" + ) + + +# ============================================================ +# Итоговые кандидаты +# ============================================================ + +smallest_result = min( + results, + key=lambda item: item["file_size_bytes"], +) + +operator_candidate = next( + result + for result in results + if result["name"] == "03_gray_320_q30" +) + + +print("\nСамый маленький файл:") + +print( + smallest_result["name"], + "-", + format_bytes( + smallest_result["file_size_bytes"] + ), +) + + +print("\nБазовый кандидат для оператора:") + +print( + operator_candidate["name"], + "-", + format_bytes( + operator_candidate["file_size_bytes"] + ), + "-", + format_duration( + operator_candidate[ + "transfer_times" + ][20] + ), + "при 20 кбит/с без повторов", +) + + +print("\nСравнительная картинка:") + +print(contact_sheet_path) + + +print("\nТаблица результатов CSV:") + +print(csv_path) + + +# ============================================================ +# Проверки +# ============================================================ + +assert len(results) == 7 + +assert contact_sheet_path.exists() + +assert csv_path.exists() + +assert all( + result["fragment_count"] > 0 + for result in results +) + +print( + "\nПроверка пройдена: " + "варианты кадра созданы и рассчитаны." +) diff --git a/Projects/SDR_Rover/tests/lab011_scene_modes.py b/Projects/SDR_Rover/tests/lab011_scene_modes.py new file mode 100644 index 0000000..fbe2729 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab011_scene_modes.py @@ -0,0 +1,525 @@ +""" +Lab011. Проверка облегчённых режимов изображения +на сцене, похожей на вид с камеры ровера. + +Создаются варианты: +1. Grayscale 320x240, JPEG quality 30. +2. Grayscale 320x240, JPEG quality 15. +3. Grayscale 320x240 с наложением контуров, quality 30. + +Для каждого варианта рассчитываются: +- размер JPEG; +- количество радиопакетов; +- время передачи при разных скоростях. +""" + +from math import ceil +from pathlib import Path + +from PIL import ( + Image, + ImageChops, + ImageDraw, + ImageFilter, + ImageOps, +) + +from protocol.image_fragments import ( + encode_image_fragment, + split_image_bytes, +) + +from protocol.packet import ( + MESSAGE_TYPE_ACK, + MESSAGE_TYPE_IMAGE_FRAGMENT, + build_packet, +) + + +# ============================================================ +# Настройки +# ============================================================ + +SOURCE_PATH = Path( + "data/raw/lab011_scene.jpg" +) + +OUTPUT_DIRECTORY = Path( + "data/processed/lab011" +) + +FRAME_SIZE = (320, 240) + +FRAGMENT_DATA_SIZE = 512 + +IMAGE_ID_BASE = 2026071400 + +BITRATES_KBPS = [ + 5, + 10, + 20, + 50, +] + + +# ============================================================ +# Вспомогательные функции +# ============================================================ + +def prepare_frame( + image: Image.Image, +) -> Image.Image: + """ + Привести изображение к фиксированному кадру 320x240. + + Пропорции сохраняются. + Недостающие области заполняются чёрным. + """ + + image = ImageOps.exif_transpose(image) + image = image.convert("RGB") + + return ImageOps.pad( + image, + FRAME_SIZE, + method=Image.Resampling.LANCZOS, + color="black", + centering=(0.5, 0.5), + ) + + +def save_jpeg( + image: Image.Image, + path: Path, + quality: int, +) -> None: + """ + Сохранить изображение в JPEG. + """ + + path.parent.mkdir( + parents=True, + exist_ok=True, + ) + + image.save( + path, + format="JPEG", + quality=quality, + optimize=True, + ) + + +def format_size( + byte_count: int, +) -> str: + """ + Представить размер в КиБ. + """ + + return f"{byte_count / 1024:.2f} КиБ" + + +def format_duration( + seconds: float, +) -> str: + """ + Представить длительность передачи. + """ + + if seconds < 1: + return f"{seconds * 1000:.0f} мс" + + if seconds < 60: + return f"{seconds:.2f} с" + + minutes = int(seconds // 60) + remaining_seconds = seconds % 60 + + return ( + f"{minutes} мин " + f"{remaining_seconds:.1f} с" + ) + + +def estimate_transfer( + file_path: Path, + image_id: int, +) -> dict: + """ + Рассчитать полный объём DATA + ACK. + """ + + image_bytes = file_path.read_bytes() + + fragments = split_image_bytes( + image_bytes=image_bytes, + image_id=image_id, + fragment_data_size=FRAGMENT_DATA_SIZE, + ) + + data_packet_bytes = 0 + + for fragment in fragments: + + fragment_payload = encode_image_fragment( + fragment + ) + + packet = build_packet( + payload=fragment_payload, + message_type=MESSAGE_TYPE_IMAGE_FRAGMENT, + sequence_number=fragment.fragment_index, + ) + + data_packet_bytes += len(packet) + + ack_packet = build_packet( + payload=b"", + message_type=MESSAGE_TYPE_ACK, + sequence_number=0, + ) + + ack_bytes = ( + len(fragments) + * len(ack_packet) + ) + + total_radio_bytes = ( + data_packet_bytes + + ack_bytes + ) + + times = {} + + for bitrate_kbps in BITRATES_KBPS: + + times[bitrate_kbps] = ( + total_radio_bytes + * 8 + / (bitrate_kbps * 1000) + ) + + return { + "file_size": len(image_bytes), + "fragment_count": len(fragments), + "total_radio_bytes": total_radio_bytes, + "times": times, + } + + +# ============================================================ +# Проверка исходного файла +# ============================================================ + +if not SOURCE_PATH.exists(): + raise FileNotFoundError( + f"Не найден файл: {SOURCE_PATH}" + ) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + + +# ============================================================ +# Подготовка базового кадра +# ============================================================ + +with Image.open(SOURCE_PATH) as source_image: + + original_size = source_image.size + + color_frame = prepare_frame( + source_image + ) + +gray_frame = ImageOps.grayscale( + color_frame +) + + +# ============================================================ +# Вариант 1. Grayscale, quality 30 +# ============================================================ + +gray_q30_path = ( + OUTPUT_DIRECTORY + / "01_gray_320_q30.jpg" +) + +save_jpeg( + gray_frame, + gray_q30_path, + quality=30, +) + + +# ============================================================ +# Вариант 2. Grayscale, quality 15 +# ============================================================ + +gray_q15_path = ( + OUTPUT_DIRECTORY + / "02_gray_320_q15.jpg" +) + +save_jpeg( + gray_frame, + gray_q15_path, + quality=15, +) + + +# ============================================================ +# Вариант 3. Grayscale + контуры +# ============================================================ + +edge_map = gray_frame.filter( + ImageFilter.FIND_EDGES +) + +edge_map = ImageOps.autocontrast( + edge_map +) + +# Оставляем преимущественно сильные контуры. +binary_edges = edge_map.point( + lambda value: 255 if value >= 45 else 0 +) + +# После инверсии контуры становятся чёрными, +# а фон — белым. +dark_edges = ImageOps.invert( + binary_edges +) + +# Сохраняем исходный серый фон и добавляем +# поверх него тёмные линии контуров. +gray_with_edges = ImageChops.darker( + gray_frame, + dark_edges +) + +gray_edges_path = ( + OUTPUT_DIRECTORY + / "03_gray_edges_320_q30.jpg" +) + +save_jpeg( + gray_with_edges, + gray_edges_path, + quality=30, +) + + +# ============================================================ +# Список вариантов +# ============================================================ + +variants = [ + ( + "gray_320_q30", + gray_q30_path, + ), + ( + "gray_320_q15", + gray_q15_path, + ), + ( + "gray_edges_320_q30", + gray_edges_path, + ), +] + + +# ============================================================ +# Расчёт параметров +# ============================================================ + +results = [] + +for variant_index, ( + variant_name, + variant_path, +) in enumerate(variants): + + result = estimate_transfer( + file_path=variant_path, + image_id=IMAGE_ID_BASE + variant_index, + ) + + results.append( + { + "name": variant_name, + "path": variant_path, + **result, + } + ) + + +# ============================================================ +# Создание сравнительной картинки +# ============================================================ + +preview_variants = [ + ( + "SOURCE PREVIEW", + color_frame, + None, + ) +] + +for result in results: + + with Image.open(result["path"]) as image: + + preview_variants.append( + ( + result["name"], + image.convert("RGB").copy(), + result, + ) + ) + + +columns = 2 +cell_width = 440 +cell_height = 340 + +rows = ceil( + len(preview_variants) + / columns +) + +comparison_image = Image.new( + "RGB", + ( + columns * cell_width, + rows * cell_height, + ), + "white", +) + +draw = ImageDraw.Draw( + comparison_image +) + +for index, ( + label, + preview, + result, +) in enumerate(preview_variants): + + column = index % columns + row = index // columns + + x = column * cell_width + y = row * cell_height + + preview = preview.copy() + + preview.thumbnail( + (400, 270), + Image.Resampling.NEAREST, + ) + + paste_x = ( + x + + (cell_width - preview.width) // 2 + ) + + comparison_image.paste( + preview, + (paste_x, y + 55), + ) + + if result is None: + + text = ( + f"{label}\n" + f"original: " + f"{original_size[0]}x{original_size[1]}" + ) + + else: + + text = ( + f"{label}\n" + f"{format_size(result['file_size'])}, " + f"{result['fragment_count']} fragments, " + f"{format_duration(result['times'][20])} " + f"at 20 kbps" + ) + + draw.multiline_text( + (x + 10, y + 10), + text, + fill="black", + spacing=4, + ) + + +comparison_path = ( + OUTPUT_DIRECTORY + / "lab011_comparison.jpg" +) + +comparison_image.save( + comparison_path, + format="JPEG", + quality=90, +) + + +# ============================================================ +# Вывод результатов +# ============================================================ + +print( + "=== Lab011. Режимы кадра для ровера ===" +) + +print("\nИсходное разрешение:") + +print( + original_size[0], + "x", + original_size[1], +) + +print("\nРезультаты:") + +print( + f"{'Вариант':<27}" + f"{'Размер':>12}" + f"{'Пакеты':>10}" + f"{'10 кбит/с':>13}" + f"{'20 кбит/с':>13}" + f"{'50 кбит/с':>13}" +) + +print("-" * 88) + +for result in results: + + print( + f"{result['name']:<27}" + f"{format_size(result['file_size']):>12}" + f"{result['fragment_count']:>10}" + f"{format_duration(result['times'][10]):>13}" + f"{format_duration(result['times'][20]):>13}" + f"{format_duration(result['times'][50]):>13}" + ) + + +print("\nСравнительная картинка:") + +print(comparison_path) + + +print( + "\nПроверка пройдена: " + "режимы кадра созданы и рассчитаны." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab012_color_vs_gray.py b/Projects/SDR_Rover/tests/lab012_color_vs_gray.py new file mode 100644 index 0000000..2705c4e --- /dev/null +++ b/Projects/SDR_Rover/tests/lab012_color_vs_gray.py @@ -0,0 +1,558 @@ +""" +Lab012. Сравнение цветного и серого кадров +для обнаружения человека и препятствий. + +Создаются четыре варианта: + +1. Цветной 320x240, JPEG quality 30. +2. Серый 320x240, JPEG quality 30. +3. Цветной 320x240, JPEG quality 15. +4. Серый 320x240, JPEG quality 15. + +Для каждого варианта рассчитываются: + +- размер JPEG; +- количество фрагментов; +- полный объём DATA + ACK; +- время передачи; +- стоимость сохранения цвета. +""" + +from math import ceil +from pathlib import Path + +from PIL import ( + Image, + ImageDraw, + ImageOps, +) + +from protocol.image_fragments import ( + encode_image_fragment, + split_image_bytes, +) + +from protocol.packet import ( + MESSAGE_TYPE_ACK, + MESSAGE_TYPE_IMAGE_FRAGMENT, + build_packet, +) + + +# ============================================================ +# Настройки +# ============================================================ + +SOURCE_PATH = Path( + "data/raw/lab012_safety_scene.jpg" +) + +OUTPUT_DIRECTORY = Path( + "data/processed/lab012" +) + +FRAME_SIZE = (320, 240) + +FRAGMENT_DATA_SIZE = 512 + +IMAGE_ID_BASE = 2026071500 + +BITRATES_KBPS = [ + 10, + 20, + 50, +] + + +# ============================================================ +# Вспомогательные функции +# ============================================================ + +def prepare_frame( + image: Image.Image, +) -> Image.Image: + """ + Подготовить кадр фиксированного размера 320x240. + + Изображение: + - автоматически поворачивается по EXIF; + - переводится в RGB; + - масштабируется с сохранением пропорций; + - при необходимости дополняется чёрными полями. + """ + + image = ImageOps.exif_transpose(image) + image = image.convert("RGB") + + return ImageOps.pad( + image, + FRAME_SIZE, + method=Image.Resampling.LANCZOS, + color="black", + centering=(0.5, 0.5), + ) + + +def save_jpeg( + image: Image.Image, + output_path: Path, + quality: int, +) -> None: + """ + Сохранить изображение в JPEG. + """ + + output_path.parent.mkdir( + parents=True, + exist_ok=True, + ) + + image.save( + output_path, + format="JPEG", + quality=quality, + optimize=True, + ) + + +def format_size( + byte_count: int, +) -> str: + """ + Представить размер файла в КиБ. + """ + + return f"{byte_count / 1024:.2f} КиБ" + + +def format_duration( + seconds: float, +) -> str: + """ + Представить время передачи. + """ + + if seconds < 1: + return f"{seconds * 1000:.0f} мс" + + if seconds < 60: + return f"{seconds:.2f} с" + + minutes = int(seconds // 60) + remaining_seconds = seconds % 60 + + return ( + f"{minutes} мин " + f"{remaining_seconds:.1f} с" + ) + + +def estimate_transfer( + file_path: Path, + image_id: int, +) -> dict: + """ + Рассчитать параметры передачи JPEG + с использованием текущего протокола. + """ + + image_bytes = file_path.read_bytes() + + fragments = split_image_bytes( + image_bytes=image_bytes, + image_id=image_id, + fragment_data_size=FRAGMENT_DATA_SIZE, + ) + + total_data_bytes = 0 + + for fragment in fragments: + + fragment_payload = encode_image_fragment( + fragment + ) + + packet = build_packet( + payload=fragment_payload, + message_type=MESSAGE_TYPE_IMAGE_FRAGMENT, + sequence_number=fragment.fragment_index, + ) + + total_data_bytes += len(packet) + + ack_packet = build_packet( + payload=b"", + message_type=MESSAGE_TYPE_ACK, + sequence_number=0, + ) + + total_ack_bytes = ( + len(fragments) + * len(ack_packet) + ) + + total_radio_bytes = ( + total_data_bytes + + total_ack_bytes + ) + + transfer_times = {} + + for bitrate_kbps in BITRATES_KBPS: + + transfer_times[bitrate_kbps] = ( + total_radio_bytes + * 8 + / (bitrate_kbps * 1000) + ) + + return { + "file_size": len(image_bytes), + "fragment_count": len(fragments), + "total_data_bytes": total_data_bytes, + "total_ack_bytes": total_ack_bytes, + "total_radio_bytes": total_radio_bytes, + "times": transfer_times, + } + + +# ============================================================ +# Проверка исходного файла +# ============================================================ + +if not SOURCE_PATH.exists(): + raise FileNotFoundError( + f"Не найден файл: {SOURCE_PATH}" + ) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + + +# ============================================================ +# Подготовка базового кадра +# ============================================================ + +with Image.open(SOURCE_PATH) as source_image: + + original_size = source_image.size + + color_frame = prepare_frame( + source_image + ) + +gray_frame = ImageOps.grayscale( + color_frame +) + + +# ============================================================ +# Создание вариантов +# ============================================================ + +variant_definitions = [ + { + "name": "color_320_q30", + "image": color_frame, + "quality": 30, + "path": ( + OUTPUT_DIRECTORY + / "01_color_320_q30.jpg" + ), + }, + { + "name": "gray_320_q30", + "image": gray_frame, + "quality": 30, + "path": ( + OUTPUT_DIRECTORY + / "02_gray_320_q30.jpg" + ), + }, + { + "name": "color_320_q15", + "image": color_frame, + "quality": 15, + "path": ( + OUTPUT_DIRECTORY + / "03_color_320_q15.jpg" + ), + }, + { + "name": "gray_320_q15", + "image": gray_frame, + "quality": 15, + "path": ( + OUTPUT_DIRECTORY + / "04_gray_320_q15.jpg" + ), + }, +] + + +for variant in variant_definitions: + + save_jpeg( + image=variant["image"], + output_path=variant["path"], + quality=variant["quality"], + ) + + +# ============================================================ +# Расчёт параметров передачи +# ============================================================ + +results = [] + +for variant_index, variant in enumerate( + variant_definitions +): + + transfer_result = estimate_transfer( + file_path=variant["path"], + image_id=IMAGE_ID_BASE + variant_index, + ) + + results.append( + { + "name": variant["name"], + "path": variant["path"], + "quality": variant["quality"], + **transfer_result, + } + ) + + +# ============================================================ +# Создание сравнительной картинки +# ============================================================ + +columns = 2 +cell_width = 440 +cell_height = 340 + +rows = ceil( + len(results) + / columns +) + +comparison_image = Image.new( + "RGB", + ( + columns * cell_width, + rows * cell_height, + ), + "white", +) + +draw = ImageDraw.Draw( + comparison_image +) + + +for result_index, result in enumerate(results): + + column = result_index % columns + row = result_index // columns + + cell_x = column * cell_width + cell_y = row * cell_height + + with Image.open(result["path"]) as image: + + preview = image.convert("RGB") + + # NEAREST не сглаживает пиксели при увеличении. + # Поэтому дефекты сжатия будут хорошо видны. + preview = preview.resize( + (400, 300), + Image.Resampling.NEAREST, + ) + + paste_x = ( + cell_x + + (cell_width - preview.width) // 2 + ) + + paste_y = cell_y + 35 + + comparison_image.paste( + preview, + (paste_x, paste_y), + ) + + label = ( + f"{result['name']}\n" + f"{format_size(result['file_size'])}, " + f"{result['fragment_count']} fragments, " + f"{format_duration(result['times'][20])} " + f"at 20 kbps" + ) + + draw.multiline_text( + (cell_x + 10, cell_y + 5), + label, + fill="black", + spacing=3, + ) + + +comparison_path = ( + OUTPUT_DIRECTORY + / "lab012_comparison.jpg" +) + +comparison_image.save( + comparison_path, + format="JPEG", + quality=92, +) + + +# ============================================================ +# Поиск результатов по имени +# ============================================================ + +results_by_name = { + result["name"]: result + for result in results +} + +color_q30 = results_by_name[ + "color_320_q30" +] + +gray_q30 = results_by_name[ + "gray_320_q30" +] + +color_q15 = results_by_name[ + "color_320_q15" +] + +gray_q15 = results_by_name[ + "gray_320_q15" +] + + +# ============================================================ +# Расчёт цены сохранения цвета +# ============================================================ + +color_overhead_q30_bytes = ( + color_q30["file_size"] + - gray_q30["file_size"] +) + +color_overhead_q30_percent = ( + color_overhead_q30_bytes + / gray_q30["file_size"] + * 100 +) + +color_overhead_q15_bytes = ( + color_q15["file_size"] + - gray_q15["file_size"] +) + +color_overhead_q15_percent = ( + color_overhead_q15_bytes + / gray_q15["file_size"] + * 100 +) + + +# ============================================================ +# Вывод результатов +# ============================================================ + +print( + "=== Lab012. Цветной или серый кадр ===" +) + +print("\nИсходное разрешение:") + +print( + original_size[0], + "x", + original_size[1], +) + + +print("\nСравнение вариантов:") + +print( + f"{'Вариант':<22}" + f"{'Размер':>12}" + f"{'Пакеты':>10}" + f"{'10 кбит/с':>13}" + f"{'20 кбит/с':>13}" + f"{'50 кбит/с':>13}" +) + +print("-" * 83) + + +for result in results: + + print( + f"{result['name']:<22}" + f"{format_size(result['file_size']):>12}" + f"{result['fragment_count']:>10}" + f"{format_duration(result['times'][10]):>13}" + f"{format_duration(result['times'][20]):>13}" + f"{format_duration(result['times'][50]):>13}" + ) + + +print("\nЦена сохранения цвета при quality 30:") + +print( + format_size( + color_overhead_q30_bytes + ), + f"или {color_overhead_q30_percent:.1f} %", +) + + +print("\nЦена сохранения цвета при quality 15:") + +print( + format_size( + color_overhead_q15_bytes + ), + f"или {color_overhead_q15_percent:.1f} %", +) + + +print("\nСравнительная картинка:") + +print(comparison_path) + + +# ============================================================ +# Проверки +# ============================================================ + +assert len(results) == 4 + +assert comparison_path.exists() + +assert all( + result["fragment_count"] > 0 + for result in results +) + +assert color_q30["file_size"] > 0 +assert gray_q30["file_size"] > 0 +assert color_q15["file_size"] > 0 +assert gray_q15["file_size"] > 0 + + +print( + "\nПроверка пройдена: " + "цветные и серые варианты созданы и рассчитаны." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab013_bpsk_python.py b/Projects/SDR_Rover/tests/lab013_bpsk_python.py new file mode 100644 index 0000000..b6c723b --- /dev/null +++ b/Projects/SDR_Rover/tests/lab013_bpsk_python.py @@ -0,0 +1,528 @@ +""" +Lab013. Первая BPSK-передача цифрового пакета в Python. + +Программа: +1. Формирует пакет SDR Rover Link с CRC-32. +2. Преобразует байты пакета в отдельные биты. +3. Преобразует биты в BPSK-символы. +4. Представляет символы как комплексные IQ-сэмплы. +5. Добавляет комплексный белый гауссов шум. +6. Демодулирует BPSK. +7. Восстанавливает байты пакета. +8. Проверяет пакет и CRC. +9. Сравнивает результат при разных уровнях SNR. +""" + +from pathlib import Path + +import matplotlib.pyplot as plt +import numpy as np + +from protocol.packet import ( + CRCError, + MESSAGE_TYPE_TEXT, + PacketError, + build_packet, + parse_packet, +) + + +# ============================================================ +# Настройки эксперимента +# ============================================================ + +MESSAGE = "ПРИВЕТ SDR" + +SEQUENCE_NUMBER = 13 + +# Проверим несколько уровней отношения сигнал/шум. +SNR_VALUES_DB = [ + 12.0, + 6.0, + 2.0, + 0.0, +] + +# Фиксированное значение обеспечивает повторяемость. +RANDOM_SEED = 2026 + +OUTPUT_DIRECTORY = Path( + "data/processed/lab013" +) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + + +# ============================================================ +# Преобразование байтов в биты +# ============================================================ + +def bytes_to_bits( + data: bytes, +) -> np.ndarray: + """ + Преобразовать последовательность bytes + в массив отдельных битов 0 и 1. + + Каждый исходный байт превращается в восемь битов. + """ + + if not isinstance(data, bytes): + raise TypeError( + "data должен иметь тип bytes" + ) + + byte_array = np.frombuffer( + data, + dtype=np.uint8, + ) + + bits = np.unpackbits( + byte_array + ) + + return bits + + +# ============================================================ +# Преобразование битов обратно в байты +# ============================================================ + +def bits_to_bytes( + bits: np.ndarray, +) -> bytes: + """ + Упаковать отдельные биты обратно в bytes. + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + if bits.ndim != 1: + raise ValueError( + "bits должен быть одномерным массивом" + ) + + if len(bits) % 8 != 0: + raise ValueError( + "Количество битов должно быть кратно восьми" + ) + + if not np.all( + (bits == 0) | (bits == 1) + ): + raise ValueError( + "Массив должен содержать только 0 и 1" + ) + + packed_bytes = np.packbits( + bits + ) + + return packed_bytes.tobytes() + + +# ============================================================ +# BPSK-модулятор +# ============================================================ + +def bpsk_modulate( + bits: np.ndarray, +) -> np.ndarray: + """ + Преобразовать биты в комплексные BPSK-символы. + + Используем отображение: + + 0 → -1 + 0j + 1 → +1 + 0j + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + real_symbols = ( + 2.0 * bits.astype(np.float64) + - 1.0 + ) + + iq_symbols = real_symbols.astype( + np.complex128 + ) + + return iq_symbols + + +# ============================================================ +# Модель радиошума +# ============================================================ + +def add_awgn( + iq_samples: np.ndarray, + snr_db: float, + random_generator: np.random.Generator, +) -> np.ndarray: + """ + Добавить комплексный белый гауссов шум AWGN. + + AWGN: + Additive White Gaussian Noise — + аддитивный белый гауссов шум. + + snr_db: + Отношение средней мощности сигнала + к средней мощности шума в децибелах. + """ + + signal_power = np.mean( + np.abs(iq_samples) ** 2 + ) + + snr_linear = 10.0 ** ( + snr_db / 10.0 + ) + + noise_power = ( + signal_power / snr_linear + ) + + # Комплексный шум имеет две составляющие: + # действительную I и мнимую Q. + # + # Поэтому мощность делится между ними пополам. + noise_sigma = np.sqrt( + noise_power / 2.0 + ) + + noise = noise_sigma * ( + random_generator.standard_normal( + len(iq_samples) + ) + + 1j + * random_generator.standard_normal( + len(iq_samples) + ) + ) + + return iq_samples + noise + + +# ============================================================ +# BPSK-демодулятор +# ============================================================ + +def bpsk_demodulate( + received_iq: np.ndarray, +) -> np.ndarray: + """ + Преобразовать принятые IQ-сэмплы в биты. + + Правило решения: + + I < 0 → бит 0 + I >= 0 → бит 1 + """ + + received_bits = ( + received_iq.real >= 0.0 + ).astype(np.uint8) + + return received_bits + + +# ============================================================ +# Формирование исходного пакета +# ============================================================ + +payload = MESSAGE.encode( + "utf-8" +) + +original_packet = build_packet( + payload=payload, + message_type=MESSAGE_TYPE_TEXT, + sequence_number=SEQUENCE_NUMBER, +) + +transmitted_bits = bytes_to_bits( + original_packet +) + +transmitted_iq = bpsk_modulate( + transmitted_bits +) + + +print( + "=== Lab013. BPSK в Python ===" +) + +print("\nИсходное сообщение:") +print(MESSAGE) + +print("\nРазмер пакета:") +print( + len(original_packet), + "байт", +) + +print("\nКоличество передаваемых битов:") +print( + len(transmitted_bits) +) + +print("\nПервые 32 бита:") + +print( + " ".join( + str(bit) + for bit in transmitted_bits[:32] + ) +) + +print("\nПервые 16 BPSK-символов:") + +print( + transmitted_iq[:16] +) + + +# ============================================================ +# Передача при разных уровнях SNR +# ============================================================ + +experiment_results = [] + +constellation_samples = {} + +for experiment_index, snr_db in enumerate( + SNR_VALUES_DB +): + + random_generator = np.random.default_rng( + RANDOM_SEED + experiment_index + ) + + received_iq = add_awgn( + iq_samples=transmitted_iq, + snr_db=snr_db, + random_generator=random_generator, + ) + + received_bits = bpsk_demodulate( + received_iq + ) + + bit_error_count = int( + np.count_nonzero( + transmitted_bits != received_bits + ) + ) + + bit_error_rate = ( + bit_error_count + / len(transmitted_bits) + ) + + received_packet = bits_to_bytes( + received_bits + ) + + packet_status = "CRC OK" + restored_message = None + + try: + parsed_packet = parse_packet( + received_packet + ) + + restored_message = ( + parsed_packet.payload.decode( + "utf-8" + ) + ) + + except CRCError: + packet_status = "CRC ERROR" + + except PacketError: + packet_status = "PACKET ERROR" + + except UnicodeDecodeError: + packet_status = "UTF-8 ERROR" + + experiment_results.append( + { + "snr_db": snr_db, + "bit_errors": bit_error_count, + "ber": bit_error_rate, + "packet_status": packet_status, + "restored_message": restored_message, + } + ) + + # Для графика достаточно первых 300 символов. + constellation_samples[snr_db] = ( + received_iq[:300] + ) + + +# ============================================================ +# Вывод результатов +# ============================================================ + +print("\nРезультаты передачи:") + +print( + f"{'SNR':>8}" + f"{'Ошибки битов':>16}" + f"{'BER':>14}" + f"{'Пакет':>18}" +) + +print("-" * 56) + +for result in experiment_results: + + print( + f"{result['snr_db']:>6.1f} дБ" + f"{result['bit_errors']:>16}" + f"{result['ber']:>14.6f}" + f"{result['packet_status']:>18}" + ) + + +print("\nВосстановленные сообщения:") + +for result in experiment_results: + + print( + f"SNR {result['snr_db']:>4.1f} дБ: " + f"{result['restored_message']}" + ) + + +# ============================================================ +# График созвездия +# ============================================================ + +figure, axes = plt.subplots( + 2, + 2, + figsize=(10, 8), +) + +axes = axes.ravel() + +for axis, snr_db in zip( + axes, + SNR_VALUES_DB, +): + + received_iq = constellation_samples[ + snr_db + ] + + axis.scatter( + received_iq.real, + received_iq.imag, + s=12, + alpha=0.6, + ) + + axis.axvline( + 0.0, + linewidth=1, + ) + + axis.set_title( + f"BPSK, SNR = {snr_db:.1f} дБ" + ) + + axis.set_xlabel( + "I — синфазная компонента" + ) + + axis.set_ylabel( + "Q — квадратурная компонента" + ) + + axis.set_xlim( + -2.5, + 2.5, + ) + + axis.set_ylim( + -1.8, + 1.8, + ) + + axis.grid( + True + ) + +figure.tight_layout() + +constellation_path = ( + OUTPUT_DIRECTORY + / "lab013_bpsk_constellation.png" +) + +figure.savefig( + constellation_path, + dpi=150, +) + +plt.close( + figure +) + + +# ============================================================ +# Автоматические проверки +# ============================================================ + +# Без добавления шума преобразование должно быть обратимым. +ideal_received_bits = bpsk_demodulate( + transmitted_iq +) + +ideal_received_packet = bits_to_bytes( + ideal_received_bits +) + +assert ideal_received_packet == original_packet + +ideal_parsed_packet = parse_packet( + ideal_received_packet +) + +assert ( + ideal_parsed_packet.payload.decode( + "utf-8" + ) + == MESSAGE +) + +assert len(experiment_results) == len( + SNR_VALUES_DB +) + +assert constellation_path.exists() + + +print("\nГрафик созвездия:") +print(constellation_path) + +print( + "\nПроверка пройдена: " + "пакет преобразован в BPSK IQ-сэмплы " + "и демодулирован обратно." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab014_bpsk_ber_curve.py b/Projects/SDR_Rover/tests/lab014_bpsk_ber_curve.py new file mode 100644 index 0000000..97d3da2 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab014_bpsk_ber_curve.py @@ -0,0 +1,617 @@ +""" +Lab014. Измерение BER для BPSK в канале AWGN. + +Программа: + +1. Генерирует 1 000 000 случайных битов. +2. Преобразует их в BPSK-символы. +3. Добавляет комплексный гауссов шум. +4. Демодулирует принятый сигнал. +5. Измеряет экспериментальный BER. +6. Рассчитывает теоретический BER. +7. Оценивает вероятность повреждения пакетов разной длины. +8. Строит BER-кривую. +9. Сохраняет результаты в CSV. + +Упрощения модели: + +- один бит передаётся одним BPSK-символом; +- один символ представлен одним IQ-сэмплом; +- частотная и фазовая синхронизация идеальны; +- межсимвольные искажения отсутствуют; +- канал содержит только AWGN. +""" + +from csv import DictWriter +from math import ( + erfc, + expm1, + log1p, + sqrt, +) +from pathlib import Path + +import matplotlib.pyplot as plt +import numpy as np + + +# ============================================================ +# Настройки эксперимента +# ============================================================ + +BIT_COUNT = 1_000_000 + +EB_N0_VALUES_DB = [ + -4.0, + -2.0, + 0.0, + 2.0, + 4.0, + 6.0, + 8.0, + 10.0, + 12.0, +] + +RANDOM_SEED = 2026 + +OUTPUT_DIRECTORY = Path( + "data/processed/lab014" +) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + +GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab014_bpsk_ber_curve.png" +) + +CSV_PATH = ( + OUTPUT_DIRECTORY + / "lab014_bpsk_ber_results.csv" +) + + +# ============================================================ +# Размеры пакетов для оценки PER +# ============================================================ + +# Пакет из Lab013: +# +# заголовок 8 байт +# PAYLOAD 16 байт +# CRC 4 байта +# +# Итого 28 байт = 224 бита +SHORT_PACKET_BITS = 224 + +# Типовой пакет изображения: +# +# заголовок протокола 8 байт +# заголовок фрагмента 12 байт +# данные JPEG 512 байт +# CRC 4 байта +# +# Итого 536 байт +IMAGE_PACKET_BITS = 536 * 8 + + +# ============================================================ +# Вспомогательные функции +# ============================================================ + +def bpsk_modulate( + bits: np.ndarray, +) -> np.ndarray: + """ + Преобразовать биты в BPSK-символы. + + Отображение: + + 0 → -1 + 1 → +1 + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + if bits.ndim != 1: + raise ValueError( + "bits должен быть одномерным массивом" + ) + + if not np.all( + (bits == 0) | (bits == 1) + ): + raise ValueError( + "bits должен содержать только 0 и 1" + ) + + symbols = ( + 2.0 * bits.astype(np.float64) + - 1.0 + ) + + return symbols.astype( + np.complex128 + ) + + +def add_awgn( + iq_samples: np.ndarray, + eb_n0_db: float, + random_generator: np.random.Generator, +) -> np.ndarray: + """ + Добавить комплексный AWGN-шум. + + Энергия BPSK-символа равна единице. + + Для одного бита на символ: + + Es/N0 = Eb/N0 + """ + + eb_n0_linear = 10.0 ** ( + eb_n0_db / 10.0 + ) + + # Для комплексного AWGN каждая компонента + # I и Q получает половину полной мощности шума. + noise_sigma = sqrt( + 1.0 + / ( + 2.0 + * eb_n0_linear + ) + ) + + noise = noise_sigma * ( + random_generator.standard_normal( + len(iq_samples) + ) + + 1j + * random_generator.standard_normal( + len(iq_samples) + ) + ) + + return iq_samples + noise + + +def bpsk_demodulate( + received_iq: np.ndarray, +) -> np.ndarray: + """ + Демодулировать BPSK по знаку компоненты I. + + I < 0 → бит 0 + I >= 0 → бит 1 + """ + + return ( + received_iq.real >= 0.0 + ).astype(np.uint8) + + +def theoretical_bpsk_ber( + eb_n0_db: float, +) -> float: + """ + Рассчитать теоретический BER когерентной BPSK + в канале AWGN. + + BER = 0.5 * erfc(sqrt(Eb/N0)) + """ + + eb_n0_linear = 10.0 ** ( + eb_n0_db / 10.0 + ) + + return 0.5 * erfc( + sqrt(eb_n0_linear) + ) + + +def ber_to_per( + ber: float, + packet_bit_count: int, +) -> float: + """ + Оценить Packet Error Rate из BER. + + Предполагается: + + - ошибки отдельных битов независимы; + - пакет считается повреждённым, + если ошибся хотя бы один бит. + + PER = 1 - (1 - BER) ** N + """ + + if not 0.0 <= ber <= 1.0: + raise ValueError( + "BER должен находиться в диапазоне 0...1" + ) + + if packet_bit_count <= 0: + raise ValueError( + "packet_bit_count должен быть положительным" + ) + + if ber == 0.0: + return 0.0 + + if ber == 1.0: + return 1.0 + + # Такая запись численно устойчивее, + # чем прямое возведение в степень + # для очень маленьких BER. + return -expm1( + packet_bit_count + * log1p(-ber) + ) + + +# ============================================================ +# Генерация исходной последовательности +# ============================================================ + +bit_generator = np.random.default_rng( + RANDOM_SEED +) + +transmitted_bits = bit_generator.integers( + low=0, + high=2, + size=BIT_COUNT, + dtype=np.uint8, +) + +transmitted_iq = bpsk_modulate( + transmitted_bits +) + + +# ============================================================ +# Эксперимент при разных Eb/N0 +# ============================================================ + +results = [] + +for experiment_index, eb_n0_db in enumerate( + EB_N0_VALUES_DB +): + + noise_generator = np.random.default_rng( + RANDOM_SEED + + 1000 + + experiment_index + ) + + received_iq = add_awgn( + iq_samples=transmitted_iq, + eb_n0_db=eb_n0_db, + random_generator=noise_generator, + ) + + received_bits = bpsk_demodulate( + received_iq + ) + + bit_error_count = int( + np.count_nonzero( + transmitted_bits + != received_bits + ) + ) + + experimental_ber = ( + bit_error_count + / BIT_COUNT + ) + + theoretical_ber = theoretical_bpsk_ber( + eb_n0_db + ) + + short_packet_per = ber_to_per( + theoretical_ber, + SHORT_PACKET_BITS, + ) + + image_packet_per = ber_to_per( + theoretical_ber, + IMAGE_PACKET_BITS, + ) + + results.append( + { + "eb_n0_db": eb_n0_db, + "bit_errors": bit_error_count, + "experimental_ber": experimental_ber, + "theoretical_ber": theoretical_ber, + "short_packet_per": short_packet_per, + "image_packet_per": image_packet_per, + } + ) + + +# ============================================================ +# Вывод основных результатов +# ============================================================ + +print( + "=== Lab014. BER-кривая BPSK ===" +) + +print("\nКоличество переданных битов:") + +print( + f"{BIT_COUNT:,}".replace(",", " ") +) + +print("\nРезультаты:") + +print( + f"{'Eb/N0':>9}" + f"{'Ошибки':>12}" + f"{'BER эксперимент':>19}" + f"{'BER теория':>16}" + f"{'PER 224 бит':>16}" + f"{'PER 4288 бит':>17}" +) + +print("-" * 89) + +for result in results: + + print( + f"{result['eb_n0_db']:>6.1f} дБ" + f"{result['bit_errors']:>12}" + f"{result['experimental_ber']:>19.6e}" + f"{result['theoretical_ber']:>16.6e}" + f"{result['short_packet_per']:>16.6f}" + f"{result['image_packet_per']:>17.6f}" + ) + + +# ============================================================ +# Сохранение CSV +# ============================================================ + +with CSV_PATH.open( + "w", + newline="", + encoding="utf-8-sig", +) as csv_file: + + fieldnames = [ + "eb_n0_db", + "bit_errors", + "experimental_ber", + "theoretical_ber", + "short_packet_per_224_bits", + "image_packet_per_4288_bits", + ] + + writer = DictWriter( + csv_file, + fieldnames=fieldnames, + ) + + writer.writeheader() + + for result in results: + + writer.writerow( + { + "eb_n0_db": result["eb_n0_db"], + "bit_errors": result["bit_errors"], + "experimental_ber": ( + result["experimental_ber"] + ), + "theoretical_ber": ( + result["theoretical_ber"] + ), + "short_packet_per_224_bits": ( + result["short_packet_per"] + ), + "image_packet_per_4288_bits": ( + result["image_packet_per"] + ), + } + ) + + +# ============================================================ +# Подготовка данных для графика +# ============================================================ + +eb_n0_plot_values = np.array( + [ + result["eb_n0_db"] + for result in results + ], + dtype=np.float64, +) + +experimental_ber_values = np.array( + [ + result["experimental_ber"] + for result in results + ], + dtype=np.float64, +) + +theoretical_ber_values = np.array( + [ + result["theoretical_ber"] + for result in results + ], + dtype=np.float64, +) + + +# Нулевой измеренный BER невозможно показать +# на логарифмической шкале. +# +# Поэтому для графика ставим такую точку +# на уровень половины одного наблюдаемого события. +measurement_floor = ( + 0.5 / BIT_COUNT +) + +experimental_ber_for_plot = np.maximum( + experimental_ber_values, + measurement_floor, +) + + +# ============================================================ +# Построение BER-графика +# ============================================================ + +figure = plt.figure( + figsize=(10, 7) +) + +plt.semilogy( + eb_n0_plot_values, + theoretical_ber_values, + marker="o", + label="Теоретический BER BPSK", +) + +plt.semilogy( + eb_n0_plot_values, + experimental_ber_for_plot, + marker="s", + linestyle="--", + label="Экспериментальный BER", +) + +plt.axhline( + measurement_floor, + linestyle=":", + label=( + "Предел измерения " + f"{measurement_floor:.1e}" + ), +) + +plt.xlabel( + "Eb/N0, дБ" +) + +plt.ylabel( + "BER" +) + +plt.title( + "BPSK в канале AWGN: " + "эксперимент и теория" +) + +plt.grid( + True, + which="both", +) + +plt.legend() + +plt.tight_layout() + +figure.savefig( + GRAPH_PATH, + dpi=160, +) + +plt.close( + figure +) + + +# ============================================================ +# Инженерные контрольные точки +# ============================================================ + +print("\nИнженерные контрольные точки:") + +for target_db in [ + 6.0, + 8.0, + 10.0, +]: + + result = next( + item + for item in results + if item["eb_n0_db"] == target_db + ) + + print( + f"\nEb/N0 = {target_db:.1f} дБ" + ) + + print( + "Теоретический BER:", + f"{result['theoretical_ber']:.6e}", + ) + + print( + "PER короткого пакета 224 бита:", + f"{result['short_packet_per'] * 100:.2f} %", + ) + + print( + "PER JPEG-пакета 4288 бит:", + f"{result['image_packet_per'] * 100:.2f} %", + ) + + +# ============================================================ +# Автоматические проверки +# ============================================================ + +assert len(transmitted_bits) == BIT_COUNT + +assert len(received_bits) == BIT_COUNT + +assert all( + 0.0 + <= result["experimental_ber"] + <= 1.0 + for result in results +) + +assert all( + 0.0 + <= result["theoretical_ber"] + <= 1.0 + for result in results +) + +assert GRAPH_PATH.exists() + +assert CSV_PATH.exists() + + +print("\nГрафик BER:") + +print(GRAPH_PATH) + +print("\nТаблица CSV:") + +print(CSV_PATH) + +print( + "\nПроверка пройдена: " + "экспериментальная BER-кривая построена." +) diff --git a/Projects/SDR_Rover/tests/lab015_fragment_size_optimization.py b/Projects/SDR_Rover/tests/lab015_fragment_size_optimization.py new file mode 100644 index 0000000..2846cb6 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab015_fragment_size_optimization.py @@ -0,0 +1,810 @@ +""" +Lab015. Подбор оптимального размера фрагмента изображения. + +Программа сравнивает фрагменты размером: + +- 64 байта; +- 128 байт; +- 256 байт; +- 512 байт; +- 1024 байта. + +Для каждого размера рассчитываются: + +1. Количество фрагментов изображения. +2. Служебные расходы протокола. +3. Теоретический BER BPSK. +4. Вероятность успешной доставки DATA-пакета. +5. Вероятность успешной доставки ACK. +6. Среднее число передач одного фрагмента. +7. Ожидаемый полный радиообмен с ARQ. +8. Время передачи фотографии при 20 кбит/с. +9. Эффективная полезная скорость. + +Модель канала: + +- когерентная BPSK; +- AWGN; +- ошибки битов независимы; +- повреждённый пакет отбрасывается по CRC; +- применяется Stop-and-Wait ARQ; +- DATA и ACK работают при одинаковом Eb/N0. + +Не учитываются: + +- ожидание тайм-аута; +- паузы между DATA и ACK; +- преамбула; +- синхронизация; +- FEC; +- многолучёвость; +- частотные и фазовые ошибки. +""" + +from csv import DictWriter +from math import ( + erfc, + exp, + log1p, + sqrt, +) +from pathlib import Path + +import matplotlib.pyplot as plt + +from protocol.image_fragments import ( + encode_image_fragment, + split_image_bytes, +) + +from protocol.packet import ( + MESSAGE_TYPE_ACK, + MESSAGE_TYPE_IMAGE_FRAGMENT, + build_packet, +) + + +# ============================================================ +# Настройки +# ============================================================ + +SOURCE_PATH = Path( + "data/raw/lab009_source.jpg" +) + +OUTPUT_DIRECTORY = Path( + "data/processed/lab015" +) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + +FRAGMENT_SIZES = [ + 64, + 128, + 256, + 512, + 1024, +] + +EB_N0_VALUES_DB = [ + 6.0, + 8.0, + 10.0, + 12.0, +] + +CHANNEL_BITRATE_BPS = 20_000 + +IMAGE_ID_BASE = 2026071600 + +CSV_PATH = ( + OUTPUT_DIRECTORY + / "lab015_fragment_results.csv" +) + +TIME_GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab015_transfer_time.png" +) + +GOODPUT_GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab015_effective_goodput.png" +) + + +# ============================================================ +# Вспомогательные функции +# ============================================================ + +def theoretical_bpsk_ber( + eb_n0_db: float, +) -> float: + """ + Теоретический BER когерентной BPSK в AWGN. + + BER = 0.5 * erfc(sqrt(Eb/N0)) + """ + + eb_n0_linear = 10.0 ** ( + eb_n0_db / 10.0 + ) + + return 0.5 * erfc( + sqrt(eb_n0_linear) + ) + + +def packet_success_probability( + ber: float, + packet_bit_count: int, +) -> float: + """ + Вероятность того, что весь пакет будет принят + без единой битовой ошибки. + + P_success = (1 - BER) ** N + """ + + if not 0.0 <= ber <= 1.0: + raise ValueError( + "BER должен находиться в диапазоне 0...1" + ) + + if packet_bit_count <= 0: + raise ValueError( + "Размер пакета должен быть положительным" + ) + + if ber == 0.0: + return 1.0 + + if ber == 1.0: + return 0.0 + + # Численно устойчивый вариант выражения: + # + # (1 - BER) ** N + return exp( + packet_bit_count + * log1p(-ber) + ) + + +def format_bytes( + byte_count: float, +) -> str: + """ + Представить объём в удобном виде. + """ + + if byte_count < 1024: + return f"{byte_count:.0f} байт" + + kibibytes = byte_count / 1024 + + if kibibytes < 1024: + return f"{kibibytes:.2f} КиБ" + + mebibytes = kibibytes / 1024 + + return f"{mebibytes:.2f} МиБ" + + +def format_duration( + seconds: float, +) -> str: + """ + Представить длительность в удобном виде. + """ + + if seconds < 1: + return f"{seconds * 1000:.0f} мс" + + if seconds < 60: + return f"{seconds:.2f} с" + + if seconds < 3600: + minutes = int(seconds // 60) + remaining_seconds = seconds % 60 + + return ( + f"{minutes} мин " + f"{remaining_seconds:.1f} с" + ) + + hours = int(seconds // 3600) + remaining_minutes = ( + seconds % 3600 + ) / 60 + + return ( + f"{hours} ч " + f"{remaining_minutes:.1f} мин" + ) + + +# ============================================================ +# Проверка исходного JPEG +# ============================================================ + +if not SOURCE_PATH.exists(): + raise FileNotFoundError( + f"Не найден файл: {SOURCE_PATH}. " + "Сначала необходимо выполнить Lab009." + ) + +source_bytes = SOURCE_PATH.read_bytes() + +if not source_bytes: + raise ValueError( + "Исходный JPEG пуст" + ) + +source_size = len(source_bytes) + + +# ============================================================ +# Размер ACK +# ============================================================ + +ack_packet = build_packet( + payload=b"", + message_type=MESSAGE_TYPE_ACK, + sequence_number=0, +) + +ack_packet_size_bytes = len( + ack_packet +) + +ack_packet_size_bits = ( + ack_packet_size_bytes * 8 +) + + +# ============================================================ +# Основной расчёт +# ============================================================ + +results = [] + +for fragment_size_index, fragment_size in enumerate( + FRAGMENT_SIZES +): + + fragments = split_image_bytes( + image_bytes=source_bytes, + image_id=( + IMAGE_ID_BASE + + fragment_size_index + ), + fragment_data_size=fragment_size, + ) + + data_packet_sizes_bytes = [] + + for fragment in fragments: + + fragment_payload = encode_image_fragment( + fragment + ) + + data_packet = build_packet( + payload=fragment_payload, + message_type=( + MESSAGE_TYPE_IMAGE_FRAGMENT + ), + sequence_number=( + fragment.fragment_index + ), + ) + + data_packet_sizes_bytes.append( + len(data_packet) + ) + + ideal_data_bytes = sum( + data_packet_sizes_bytes + ) + + ideal_ack_bytes = ( + len(fragments) + * ack_packet_size_bytes + ) + + ideal_total_bytes = ( + ideal_data_bytes + + ideal_ack_bytes + ) + + ideal_efficiency_percent = ( + source_size + / ideal_total_bytes + * 100 + ) + + for eb_n0_db in EB_N0_VALUES_DB: + + ber = theoretical_bpsk_ber( + eb_n0_db + ) + + ack_success_probability = ( + packet_success_probability( + ber=ber, + packet_bit_count=( + ack_packet_size_bits + ), + ) + ) + + expected_data_bytes = 0.0 + expected_ack_bytes = 0.0 + + expected_data_transmissions = 0.0 + + data_success_probabilities = [] + + for data_packet_size_bytes in ( + data_packet_sizes_bytes + ): + + data_packet_size_bits = ( + data_packet_size_bytes * 8 + ) + + data_success_probability = ( + packet_success_probability( + ber=ber, + packet_bit_count=( + data_packet_size_bits + ), + ) + ) + + data_success_probabilities.append( + data_success_probability + ) + + # Для успешного завершения попытки должны + # одновременно правильно пройти DATA и ACK. + confirmed_attempt_probability = ( + data_success_probability + * ack_success_probability + ) + + if confirmed_attempt_probability == 0.0: + raise RuntimeError( + "Вероятность подтверждения " + "оказалась равной нулю" + ) + + # Число DATA-передач до успешного ACK + # подчиняется геометрическому распределению. + expected_attempt_count = ( + 1.0 + / confirmed_attempt_probability + ) + + expected_data_transmissions += ( + expected_attempt_count + ) + + expected_data_bytes += ( + data_packet_size_bytes + * expected_attempt_count + ) + + # ACK передаётся только после правильно + # принятого DATA. + # + # Среднее количество передач ACK до + # успешного ACK равно 1 / P_ACK. + expected_ack_bytes += ( + ack_packet_size_bytes + / ack_success_probability + ) + + expected_total_bytes = ( + expected_data_bytes + + expected_ack_bytes + ) + + expected_transfer_seconds = ( + expected_total_bytes + * 8 + / CHANNEL_BITRATE_BPS + ) + + expected_efficiency_percent = ( + source_size + / expected_total_bytes + * 100 + ) + + effective_goodput_bps = ( + source_size + * 8 + / expected_transfer_seconds + ) + + average_data_transmissions = ( + expected_data_transmissions + / len(fragments) + ) + + minimum_data_success_probability = min( + data_success_probabilities + ) + + maximum_data_success_probability = max( + data_success_probabilities + ) + + results.append( + { + "fragment_size": fragment_size, + "fragment_count": len(fragments), + "eb_n0_db": eb_n0_db, + "ber": ber, + "ideal_total_bytes": ( + ideal_total_bytes + ), + "ideal_efficiency_percent": ( + ideal_efficiency_percent + ), + "ack_success_probability": ( + ack_success_probability + ), + "minimum_data_success_probability": ( + minimum_data_success_probability + ), + "maximum_data_success_probability": ( + maximum_data_success_probability + ), + "average_data_transmissions": ( + average_data_transmissions + ), + "expected_total_bytes": ( + expected_total_bytes + ), + "expected_transfer_seconds": ( + expected_transfer_seconds + ), + "expected_efficiency_percent": ( + expected_efficiency_percent + ), + "effective_goodput_bps": ( + effective_goodput_bps + ), + } + ) + + +# ============================================================ +# Вывод общих данных +# ============================================================ + +print( + "=== Lab015. Оптимальный размер фрагмента ===" +) + +print("\nИсходный JPEG:") + +print(SOURCE_PATH) + +print("\nРазмер JPEG:") + +print( + format_bytes(source_size) +) + +print("\nСкорость физического канала:") + +print( + CHANNEL_BITRATE_BPS / 1000, + "кбит/с", +) + +print("\nРазмер ACK-пакета:") + +print( + ack_packet_size_bytes, + "байт", +) + + +# ============================================================ +# Вывод результатов отдельно для каждого Eb/N0 +# ============================================================ + +for eb_n0_db in EB_N0_VALUES_DB: + + selected_results = [ + result + for result in results + if result["eb_n0_db"] == eb_n0_db + ] + + print( + f"\n--- Eb/N0 = {eb_n0_db:.1f} дБ ---" + ) + + print( + f"{'Фрагмент':>10}" + f"{'Кол-во':>9}" + f"{'P DATA':>12}" + f"{'Попыток':>11}" + f"{'Объём с ARQ':>16}" + f"{'Время':>16}" + f"{'Goodput':>13}" + ) + + print("-" * 87) + + for result in selected_results: + + print( + f"{result['fragment_size']:>8} Б" + f"{result['fragment_count']:>9}" + f"{result['minimum_data_success_probability']:>12.6f}" + f"{result['average_data_transmissions']:>11.2f}" + f"{format_bytes(result['expected_total_bytes']):>16}" + f"{format_duration(result['expected_transfer_seconds']):>16}" + f"{result['effective_goodput_bps'] / 1000:>10.2f} кбит/с" + ) + + optimum_result = min( + selected_results, + key=lambda item: ( + item["expected_transfer_seconds"] + ), + ) + + print( + "\nОптимальный размер фрагмента:" + ) + + print( + optimum_result["fragment_size"], + "байт", + ) + + print( + "Ожидаемое время:", + format_duration( + optimum_result[ + "expected_transfer_seconds" + ] + ), + ) + + print( + "Полезная скорость:", + f"{optimum_result['effective_goodput_bps'] / 1000:.2f}", + "кбит/с", + ) + + +# ============================================================ +# Сохранение CSV +# ============================================================ + +with CSV_PATH.open( + "w", + newline="", + encoding="utf-8-sig", +) as csv_file: + + fieldnames = [ + "fragment_size", + "fragment_count", + "eb_n0_db", + "ber", + "ideal_total_bytes", + "ideal_efficiency_percent", + "ack_success_probability", + "minimum_data_success_probability", + "maximum_data_success_probability", + "average_data_transmissions", + "expected_total_bytes", + "expected_transfer_seconds", + "expected_efficiency_percent", + "effective_goodput_bps", + ] + + writer = DictWriter( + csv_file, + fieldnames=fieldnames, + ) + + writer.writeheader() + + writer.writerows(results) + + +# ============================================================ +# График ожидаемого времени передачи +# ============================================================ + +plt.figure( + figsize=(10, 7) +) + +for eb_n0_db in EB_N0_VALUES_DB: + + selected_results = [ + result + for result in results + if result["eb_n0_db"] == eb_n0_db + ] + + fragment_sizes = [ + result["fragment_size"] + for result in selected_results + ] + + transfer_times = [ + result["expected_transfer_seconds"] + for result in selected_results + ] + + plt.plot( + fragment_sizes, + transfer_times, + marker="o", + label=f"Eb/N0 = {eb_n0_db:.0f} дБ", + ) + +plt.xscale( + "log", + base=2, +) + +plt.yscale( + "log", +) + +plt.xlabel( + "Размер данных фрагмента, байт" +) + +plt.ylabel( + "Ожидаемое время передачи, с" +) + +plt.title( + "Влияние размера фрагмента " + "на время передачи JPEG" +) + +plt.grid( + True, + which="both", +) + +plt.legend() + +plt.tight_layout() + +plt.savefig( + TIME_GRAPH_PATH, + dpi=160, +) + +plt.close() + + +# ============================================================ +# График эффективной полезной скорости +# ============================================================ + +plt.figure( + figsize=(10, 7) +) + +for eb_n0_db in EB_N0_VALUES_DB: + + selected_results = [ + result + for result in results + if result["eb_n0_db"] == eb_n0_db + ] + + fragment_sizes = [ + result["fragment_size"] + for result in selected_results + ] + + goodput_values = [ + result["effective_goodput_bps"] / 1000 + for result in selected_results + ] + + plt.plot( + fragment_sizes, + goodput_values, + marker="o", + label=f"Eb/N0 = {eb_n0_db:.0f} дБ", + ) + +plt.xscale( + "log", + base=2, +) + +plt.xlabel( + "Размер данных фрагмента, байт" +) + +plt.ylabel( + "Полезная скорость, кбит/с" +) + +plt.title( + "Полезная скорость JPEG " + "с учётом CRC и ARQ" +) + +plt.grid( + True, + which="both", +) + +plt.legend() + +plt.tight_layout() + +plt.savefig( + GOODPUT_GRAPH_PATH, + dpi=160, +) + +plt.close() + + +# ============================================================ +# Автоматические проверки +# ============================================================ + +assert results + +assert CSV_PATH.exists() + +assert TIME_GRAPH_PATH.exists() + +assert GOODPUT_GRAPH_PATH.exists() + +assert all( + result["expected_transfer_seconds"] > 0 + for result in results +) + +assert all( + 0.0 + < result["ack_success_probability"] + <= 1.0 + for result in results +) + + +print("\nCSV:") + +print(CSV_PATH) + +print("\nГрафик времени:") + +print(TIME_GRAPH_PATH) + +print("\nГрафик полезной скорости:") + +print(GOODPUT_GRAPH_PATH) + +print( + "\nПроверка пройдена: " + "оптимальный размер фрагмента рассчитан." +) diff --git a/Projects/SDR_Rover/tests/lab016_adaptive_fragment_size.py b/Projects/SDR_Rover/tests/lab016_adaptive_fragment_size.py new file mode 100644 index 0000000..17a9de4 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab016_adaptive_fragment_size.py @@ -0,0 +1,605 @@ +""" +Lab016. Адаптивный выбор размера фрагмента изображения. + +Программа имитирует изменение качества канала во времени. + +Для каждой оценки Eb/N0 передатчик решает: + +- отключить изображения; +- использовать 128 байт; +- использовать 512 байт; +- использовать 1024 байта. + +Дополнительно рассчитывается ожидаемое время передачи +реального JPEG-файла. +""" + +from csv import DictWriter +from pathlib import Path + +import matplotlib.pyplot as plt +import numpy as np + +from protocol.image_fragments import ( + encode_image_fragment, + split_image_bytes, +) + +from protocol.link_adaptation import ( + choose_image_mode, + packet_success_probability, +) + +from protocol.packet import ( + MESSAGE_TYPE_ACK, + MESSAGE_TYPE_IMAGE_FRAGMENT, + build_packet, +) + + +# ============================================================ +# Настройки +# ============================================================ + +CHANNEL_BITRATE_BPS = 20_000 + +MAX_ATTEMPTS = 5 + +CANDIDATE_FRAGMENT_SIZES = ( + 128, + 512, + 1024, +) + +# Изменение качества канала во времени. +EB_N0_PROFILE_DB = [ + 12.0, + 10.0, + 9.0, + 8.0, + 7.0, + 6.0, + 7.0, + 8.0, + 9.0, + 10.0, + 12.0, +] + +OUTPUT_DIRECTORY = Path( + "data/processed/lab016" +) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + +CSV_PATH = ( + OUTPUT_DIRECTORY + / "lab016_adaptation_results.csv" +) + +MODE_GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab016_selected_mode.png" +) + +TIME_GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab016_expected_transfer_time.png" +) + + +# ============================================================ +# Выбор исходного кадра +# ============================================================ + +source_candidates = [ + Path( + "data/processed/lab012/" + "03_color_320_q15.jpg" + ), + Path( + "data/raw/lab009_source.jpg" + ), +] + +SOURCE_PATH = next( + ( + path + for path in source_candidates + if path.exists() + ), + None, +) + +if SOURCE_PATH is None: + raise FileNotFoundError( + "Не найден кадр для передачи. " + "Необходимо выполнить Lab009 или Lab012." + ) + +source_bytes = SOURCE_PATH.read_bytes() + +if not source_bytes: + raise ValueError( + "Исходный JPEG пуст" + ) + + +# ============================================================ +# Оценка передачи всего изображения +# ============================================================ + +def estimate_image_transfer( + image_bytes: bytes, + fragment_size: int, + ber: float, + image_id: int, +) -> dict: + """ + Оценить передачу полного изображения с бесконечным ARQ. + + Расчёт учитывает фактический размер последнего фрагмента. + """ + + fragments = split_image_bytes( + image_bytes=image_bytes, + image_id=image_id, + fragment_data_size=fragment_size, + ) + + ack_packet = build_packet( + payload=b"", + message_type=MESSAGE_TYPE_ACK, + sequence_number=0, + ) + + ack_size_bytes = len( + ack_packet + ) + + ack_success_probability = ( + packet_success_probability( + ber=ber, + packet_bit_count=( + ack_size_bytes * 8 + ), + ) + ) + + expected_total_bytes = 0.0 + + for fragment in fragments: + + fragment_payload = encode_image_fragment( + fragment + ) + + data_packet = build_packet( + payload=fragment_payload, + message_type=( + MESSAGE_TYPE_IMAGE_FRAGMENT + ), + sequence_number=( + fragment.fragment_index + ), + ) + + data_success_probability = ( + packet_success_probability( + ber=ber, + packet_bit_count=( + len(data_packet) * 8 + ), + ) + ) + + confirmed_probability = ( + data_success_probability + * ack_success_probability + ) + + expected_total_bytes += ( + len(data_packet) + / confirmed_probability + ) + + expected_total_bytes += ( + ack_size_bytes + / ack_success_probability + ) + + expected_seconds = ( + expected_total_bytes + * 8 + / CHANNEL_BITRATE_BPS + ) + + effective_goodput_bps = ( + len(image_bytes) + * 8 + / expected_seconds + ) + + return { + "fragment_count": len(fragments), + "expected_total_bytes": expected_total_bytes, + "expected_seconds": expected_seconds, + "effective_goodput_bps": ( + effective_goodput_bps + ), + } + + +# ============================================================ +# Адаптация по профилю канала +# ============================================================ + +results = [] + +for step_index, eb_n0_db in enumerate( + EB_N0_PROFILE_DB +): + + decision = choose_image_mode( + eb_n0_db=eb_n0_db, + candidate_fragment_sizes=( + CANDIDATE_FRAGMENT_SIZES + ), + channel_bitrate_bps=( + CHANNEL_BITRATE_BPS + ), + max_attempts=MAX_ATTEMPTS, + minimum_success_probability=0.85, + minimum_goodput_bps=2_000.0, + ) + + if decision.images_enabled: + + selected_estimate = next( + estimate + for estimate in decision.estimates + if ( + estimate.fragment_size + == decision.selected_fragment_size + ) + ) + + image_result = estimate_image_transfer( + image_bytes=source_bytes, + fragment_size=( + decision.selected_fragment_size + ), + ber=selected_estimate.ber, + image_id=2026071700 + step_index, + ) + + fragment_size = ( + decision.selected_fragment_size + ) + + fragment_count = ( + image_result["fragment_count"] + ) + + expected_seconds = ( + image_result["expected_seconds"] + ) + + effective_goodput_bps = ( + image_result[ + "effective_goodput_bps" + ] + ) + + success_with_retries = ( + selected_estimate + .success_probability_with_retries + ) + + expected_attempts = ( + selected_estimate.expected_attempts + ) + + mode_name = ( + f"{fragment_size} B" + ) + + else: + fragment_size = 0 + fragment_count = 0 + expected_seconds = None + effective_goodput_bps = 0.0 + success_with_retries = 0.0 + expected_attempts = 0.0 + mode_name = "IMAGE OFF" + + results.append( + { + "step": step_index, + "eb_n0_db": eb_n0_db, + "mode": mode_name, + "fragment_size": fragment_size, + "fragment_count": fragment_count, + "expected_seconds": expected_seconds, + "effective_goodput_bps": ( + effective_goodput_bps + ), + "success_with_retries": ( + success_with_retries + ), + "expected_attempts": ( + expected_attempts + ), + "reason": decision.reason, + } + ) + + +# ============================================================ +# Вывод +# ============================================================ + +print( + "=== Lab016. Адаптация размера фрагмента ===" +) + +print("\nИсходный кадр:") + +print(SOURCE_PATH) + +print("\nРазмер JPEG:") + +print( + len(source_bytes), + "байт", +) + +print("\nРезультаты адаптации:") + +print( + f"{'Шаг':>5}" + f"{'Eb/N0':>10}" + f"{'Режим':>14}" + f"{'Фрагм.':>9}" + f"{'Попыток':>11}" + f"{'Успех x5':>12}" + f"{'Время кадра':>15}" + f"{'Goodput':>13}" +) + +print("-" * 89) + +for result in results: + + if result["expected_seconds"] is None: + time_text = "—" + else: + time_text = ( + f"{result['expected_seconds']:.2f} с" + ) + + print( + f"{result['step']:>5}" + f"{result['eb_n0_db']:>7.1f} дБ" + f"{result['mode']:>14}" + f"{result['fragment_count']:>9}" + f"{result['expected_attempts']:>11.2f}" + f"{result['success_with_retries'] * 100:>10.1f} %" + f"{time_text:>15}" + f"{result['effective_goodput_bps'] / 1000:>10.2f} кбит/с" + ) + + +# ============================================================ +# Сохранение CSV +# ============================================================ + +with CSV_PATH.open( + "w", + newline="", + encoding="utf-8-sig", +) as csv_file: + + fieldnames = list( + results[0].keys() + ) + + writer = DictWriter( + csv_file, + fieldnames=fieldnames, + ) + + writer.writeheader() + writer.writerows(results) + + +# ============================================================ +# График выбранного режима +# ============================================================ + +steps = [ + result["step"] + for result in results +] + +fragment_sizes = [ + result["fragment_size"] + for result in results +] + +plt.figure( + figsize=(11, 6) +) + +plt.step( + steps, + fragment_sizes, + where="mid", + marker="o", +) + +plt.yticks( + [ + 0, + 128, + 512, + 1024, + ], + [ + "IMAGE OFF", + "128 B", + "512 B", + "1024 B", + ], +) + +plt.xlabel( + "Шаг времени" +) + +plt.ylabel( + "Выбранный режим" +) + +plt.title( + "Автоматический выбор размера фрагмента" +) + +plt.grid( + True +) + +plt.tight_layout() + +plt.savefig( + MODE_GRAPH_PATH, + dpi=160, +) + +plt.close() + + +# ============================================================ +# График времени передачи кадра +# ============================================================ + +transfer_times = np.array( + [ + ( + result["expected_seconds"] + if result["expected_seconds"] is not None + else np.nan + ) + for result in results + ], + dtype=np.float64, +) + +plt.figure( + figsize=(11, 6) +) + +plt.plot( + steps, + transfer_times, + marker="o", +) + +plt.xlabel( + "Шаг времени" +) + +plt.ylabel( + "Ожидаемое время передачи кадра, с" +) + +plt.title( + "Время передачи кадра при адаптации канала" +) + +plt.grid( + True +) + +plt.tight_layout() + +plt.savefig( + TIME_GRAPH_PATH, + dpi=160, +) + +plt.close() + + +# ============================================================ +# Проверки ожидаемой логики +# ============================================================ + +decision_at_6_db = next( + result + for result in results + if result["eb_n0_db"] == 6.0 +) + +decision_at_8_db = next( + result + for result in results + if result["eb_n0_db"] == 8.0 +) + +decision_at_9_db = next( + result + for result in results + if result["eb_n0_db"] == 9.0 +) + +decision_at_10_db = next( + result + for result in results + if result["eb_n0_db"] == 10.0 +) + +assert ( + decision_at_6_db["fragment_size"] + == 0 +) + +assert ( + decision_at_8_db["fragment_size"] + == 128 +) + +assert ( + decision_at_9_db["fragment_size"] + == 512 +) + +assert ( + decision_at_10_db["fragment_size"] + == 1024 +) + +assert CSV_PATH.exists() +assert MODE_GRAPH_PATH.exists() +assert TIME_GRAPH_PATH.exists() + + +print("\nCSV:") + +print(CSV_PATH) + +print("\nГрафик режимов:") + +print(MODE_GRAPH_PATH) + +print("\nГрафик времени:") + +print(TIME_GRAPH_PATH) + +print( + "\nПроверка пройдена: " + "адаптивный выбор режима работает." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab017_link_hysteresis.py b/Projects/SDR_Rover/tests/lab017_link_hysteresis.py new file mode 100644 index 0000000..7198082 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab017_link_hysteresis.py @@ -0,0 +1,468 @@ +""" +Lab017. Фильтрация Eb/N0 и гистерезис режимов. + +Эксперимент сравнивает два адаптера: + +1. Наивный адаптер: + переключает режим при каждом пересечении порога. + +2. Устойчивый адаптер: + использует: + - экспоненциальное усреднение; + - гистерезис; + - подтверждение повышения; + - аварийное быстрое понижение. + +Профиль Eb/N0 специально содержит колебания +около порогов переключения. +""" + +from csv import DictWriter +from pathlib import Path + +import matplotlib.pyplot as plt + +from protocol.link_controller import ( + FRAGMENT_MODE_1024, + IMAGE_OFF, + LinkModeController, +) + + +# ============================================================ +# Настройки +# ============================================================ + +OUTPUT_DIRECTORY = Path( + "data/processed/lab017" +) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + +CSV_PATH = ( + OUTPUT_DIRECTORY + / "lab017_hysteresis_results.csv" +) + +GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab017_hysteresis_comparison.png" +) + + +# ============================================================ +# Профиль качества канала +# ============================================================ + +EB_N0_PROFILE_DB = [ + 10.2, + 9.7, + 9.4, + 9.6, + 9.3, + 9.7, + 9.2, + 9.6, + 9.0, + 8.7, + 8.4, + 8.6, + 8.3, + 8.7, + 8.2, + 8.6, + 8.0, + 7.8, + 7.5, + 7.7, + 7.4, + 7.8, + 7.2, + 6.8, + 6.5, + 6.3, + 6.6, + 6.2, + 6.7, + 6.1, + 5.5, + 6.0, + 6.4, + 6.7, + 6.9, + 7.1, + 7.3, + 8.0, + 8.8, + 9.0, + 9.4, + 9.8, + 10.0, + 10.2, + 10.1, +] + + +# ============================================================ +# Наивное решение без гистерезиса +# ============================================================ + +def choose_naive_mode( + eb_n0_db: float, +) -> int: + """ + Немедленно выбрать режим по одному измерению. + + Гистерезиса и фильтрации нет. + """ + + if eb_n0_db < 6.5: + return 0 + + if eb_n0_db < 8.5: + return 128 + + if eb_n0_db < 9.5: + return 512 + + return 1024 + + +# ============================================================ +# Запуск устойчивого контроллера +# ============================================================ + +controller = LinkModeController( + initial_mode=FRAGMENT_MODE_1024, + filter_alpha=0.35, + upgrade_confirmation_count=3, + minimum_hold_steps=2, +) + +results = [] + +for measured_eb_n0_db in EB_N0_PROFILE_DB: + + stable_result = controller.update( + measured_eb_n0_db + ) + + naive_mode = choose_naive_mode( + measured_eb_n0_db + ) + + results.append( + { + "step": stable_result.step, + "measured_eb_n0_db": ( + stable_result.measured_eb_n0_db + ), + "filtered_eb_n0_db": ( + stable_result.filtered_eb_n0_db + ), + "naive_mode": naive_mode, + "stable_mode": ( + stable_result.selected_mode + ), + "mode_changed": ( + stable_result.mode_changed + ), + "pending_upgrade_mode": ( + stable_result.pending_upgrade_mode + ), + "pending_upgrade_count": ( + stable_result.pending_upgrade_count + ), + "reason": stable_result.reason, + } + ) + + +# ============================================================ +# Число переключений +# ============================================================ + +def count_mode_switches( + modes: list[int], +) -> int: + """ + Посчитать число изменений режима. + """ + + return sum( + previous_mode != current_mode + for previous_mode, current_mode in zip( + modes, + modes[1:], + ) + ) + + +naive_modes = [ + result["naive_mode"] + for result in results +] + +stable_modes = [ + result["stable_mode"] + for result in results +] + +naive_switch_count = count_mode_switches( + naive_modes +) + +stable_switch_count = count_mode_switches( + stable_modes +) + + +# ============================================================ +# Вывод результатов +# ============================================================ + +print( + "=== Lab017. Гистерезис режима канала ===" +) + +print("\nРезультаты по шагам:") + +print( + f"{'Шаг':>5}" + f"{'Eb/N0':>10}" + f"{'Фильтр':>11}" + f"{'Наивный':>11}" + f"{'Устойчивый':>13}" + f"{'Изменён':>10}" + f"{'Причина':>45}" +) + +print("-" * 105) + +for result in results: + + print( + f"{result['step']:>5}" + f"{result['measured_eb_n0_db']:>7.1f} дБ" + f"{result['filtered_eb_n0_db']:>8.2f} дБ" + f"{result['naive_mode']:>11}" + f"{result['stable_mode']:>13}" + f"{str(result['mode_changed']):>10}" + f" {result['reason']}" + ) + + +print("\nЧисло переключений:") + +print( + "Наивный адаптер:", + naive_switch_count, +) + +print( + "Устойчивый адаптер:", + stable_switch_count, +) + +print( + "Предотвращено лишних переключений:", + naive_switch_count - stable_switch_count, +) + + +# ============================================================ +# Сохранение CSV +# ============================================================ + +with CSV_PATH.open( + "w", + newline="", + encoding="utf-8-sig", +) as csv_file: + + writer = DictWriter( + csv_file, + fieldnames=list( + results[0].keys() + ), + ) + + writer.writeheader() + writer.writerows(results) + + +# ============================================================ +# График +# ============================================================ + +steps = [ + result["step"] + for result in results +] + +measured_values = [ + result["measured_eb_n0_db"] + for result in results +] + +filtered_values = [ + result["filtered_eb_n0_db"] + for result in results +] + + +figure, axes = plt.subplots( + 2, + 1, + figsize=(12, 9), + sharex=True, +) + + +# ------------------------------------------------------------ +# Верхний график: Eb/N0 +# ------------------------------------------------------------ + +axes[0].plot( + steps, + measured_values, + marker=".", + label="Измеренное Eb/N0", +) + +axes[0].plot( + steps, + filtered_values, + linewidth=2, + label="Фильтрованное Eb/N0", +) + +axes[0].axhline( + 6.5, + linestyle=":", + label="Порог наивного адаптера", +) + +axes[0].axhline( + 8.5, + linestyle=":", +) + +axes[0].axhline( + 9.5, + linestyle=":", +) + +axes[0].set_ylabel( + "Eb/N0, дБ" +) + +axes[0].set_title( + "Фильтрация измерения качества канала" +) + +axes[0].grid( + True +) + +axes[0].legend() + + +# ------------------------------------------------------------ +# Нижний график: режимы +# ------------------------------------------------------------ + +axes[1].step( + steps, + naive_modes, + where="mid", + marker=".", + label="Наивный адаптер", +) + +axes[1].step( + steps, + stable_modes, + where="mid", + marker="o", + label="Гистерезис и фильтрация", +) + +axes[1].set_yticks( + [ + 0, + 128, + 512, + 1024, + ], + [ + "IMAGE OFF", + "128 B", + "512 B", + "1024 B", + ], +) + +axes[1].set_xlabel( + "Шаг времени" +) + +axes[1].set_ylabel( + "Режим" +) + +axes[1].set_title( + "Сравнение переключений режимов" +) + +axes[1].grid( + True +) + +axes[1].legend() + + +figure.tight_layout() + +figure.savefig( + GRAPH_PATH, + dpi=160, +) + +plt.close( + figure +) + + +# ============================================================ +# Проверки +# ============================================================ + +assert results + +assert IMAGE_OFF in stable_modes + +assert FRAGMENT_MODE_1024 in stable_modes + +assert stable_switch_count < naive_switch_count + +assert CSV_PATH.exists() + +assert GRAPH_PATH.exists() + + +print("\nCSV:") + +print(CSV_PATH) + +print("\nГрафик:") + +print(GRAPH_PATH) + +print( + "\nПроверка пройдена: " + "гистерезис уменьшил количество переключений." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab018_bpsk_radio_frame.py b/Projects/SDR_Rover/tests/lab018_bpsk_radio_frame.py new file mode 100644 index 0000000..263b199 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab018_bpsk_radio_frame.py @@ -0,0 +1,1148 @@ +""" +Lab018. Формирование BPSK-радиокадра. + +Программа: + +1. Формирует внутренний пакет SDR Rover Link. +2. Добавляет радиопреамбулу. +3. Добавляет внешнее синхрослово. +4. Добавляет длину внутреннего пакета. +5. Преобразует радиокадр в биты. +6. Модулирует биты методом BPSK. +7. Увеличивает частоту дискретизации. +8. Применяет Root Raised Cosine-фильтр. +9. Формирует комплексные IQ-сэмплы. +10. Сохраняет IQ в форматах NPY и CF32. +11. Строит графики кадра, сигнала и спектра. + +Передача через SDR в этой лабораторной не выполняется. +""" + +from pathlib import Path +import struct + +import matplotlib.pyplot as plt +import numpy as np + +from protocol.packet import ( + MESSAGE_TYPE_TEXT, + build_packet, +) + + +# ============================================================ +# Настройки содержимого +# ============================================================ + +MESSAGE = "ПРИВЕТ SDR" + +SEQUENCE_NUMBER = 18 + + +# ============================================================ +# Настройки радиокадра +# ============================================================ + +# Радиосинхрослово физического уровня. +# +# Не следует путать с SYNC_WORD = 0xAA55, +# который находится внутри packet.py. +RADIO_SYNC_WORD = 0xD391 + +# Преамбула 10101010... +PREAMBLE_BIT_COUNT = 64 + +# Пустой участок до и после радиокадра. +GUARD_SYMBOL_COUNT = 16 + + +# ============================================================ +# Настройки BPSK +# ============================================================ + +# BPSK передаёт один бит одним символом. +SYMBOL_RATE = 20_000 + +# На один BPSK-символ приходится 32 IQ-сэмпла. +SAMPLES_PER_SYMBOL = 32 + +SAMPLE_RATE = ( + SYMBOL_RATE + * SAMPLES_PER_SYMBOL +) + +# Коэффициент скругления RRC-фильтра. +RRC_ROLLOFF = 0.35 + +# Длина фильтра в символах. +# +# Используем чётное значение. +RRC_SPAN_SYMBOLS = 10 + +# Амплитудный запас. +# +# Не используем полную шкалу ±1, +# чтобы позднее не перегружать передатчик. +TX_AMPLITUDE = 0.70 + + +# ============================================================ +# Выходные файлы +# ============================================================ + +OUTPUT_DIRECTORY = Path( + "data/processed/lab018" +) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + +NPY_PATH = ( + OUTPUT_DIRECTORY + / "lab018_bpsk_tx_iq.npy" +) + +CF32_PATH = ( + OUTPUT_DIRECTORY + / "lab018_bpsk_tx_iq.cf32" +) + +GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab018_bpsk_radio_frame.png" +) + +INFO_PATH = ( + OUTPUT_DIRECTORY + / "lab018_frame_info.txt" +) + + +# ============================================================ +# Преобразование байтов в биты +# ============================================================ + +def bytes_to_bits( + data: bytes, +) -> np.ndarray: + """ + Преобразовать bytes в массив битов 0 и 1. + + Используется порядок от старшего бита к младшему. + """ + + if not isinstance(data, bytes): + raise TypeError( + "data должен иметь тип bytes" + ) + + byte_array = np.frombuffer( + data, + dtype=np.uint8, + ) + + return np.unpackbits( + byte_array + ) + + +# ============================================================ +# BPSK-модулятор +# ============================================================ + +def bpsk_modulate( + bits: np.ndarray, +) -> np.ndarray: + """ + Преобразовать биты в BPSK-символы. + + 0 → -1 + 1 → +1 + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + if bits.ndim != 1: + raise ValueError( + "bits должен быть одномерным массивом" + ) + + if not np.all( + (bits == 0) | (bits == 1) + ): + raise ValueError( + "bits должен содержать только 0 и 1" + ) + + symbols = ( + 2.0 * bits.astype(np.float64) + - 1.0 + ) + + return symbols.astype( + np.complex128 + ) + + +# ============================================================ +# Root Raised Cosine-фильтр +# ============================================================ + +def root_raised_cosine_taps( + rolloff: float, + samples_per_symbol: int, + span_symbols: int, +) -> np.ndarray: + """ + Рассчитать коэффициенты Root Raised Cosine-фильтра. + + Параметры + ---------- + rolloff: + Коэффициент скругления beta. + + samples_per_symbol: + Количество сэмплов на символ. + + span_symbols: + Полная длина фильтра в символах. + + Возвращает + ---------- + Одномерный массив коэффициентов фильтра. + """ + + if not 0.0 < rolloff <= 1.0: + raise ValueError( + "rolloff должен находиться в диапазоне 0...1" + ) + + if samples_per_symbol <= 0: + raise ValueError( + "samples_per_symbol должен быть положительным" + ) + + if span_symbols <= 0: + raise ValueError( + "span_symbols должен быть положительным" + ) + + if span_symbols % 2 != 0: + raise ValueError( + "span_symbols должен быть чётным" + ) + + half_sample_count = ( + span_symbols + * samples_per_symbol + // 2 + ) + + sample_indexes = np.arange( + -half_sample_count, + half_sample_count + 1, + dtype=np.float64, + ) + + # Время нормировано к длительности одного символа. + time_values = ( + sample_indexes + / samples_per_symbol + ) + + taps = np.zeros_like( + time_values + ) + + beta = rolloff + + for index, time_value in enumerate( + time_values + ): + + # Особая точка t = 0. + if np.isclose( + time_value, + 0.0, + ): + taps[index] = ( + 1.0 + - beta + + ( + 4.0 + * beta + / np.pi + ) + ) + + continue + + # Особые точки t = ±1/(4 beta). + if np.isclose( + abs(time_value), + 1.0 / (4.0 * beta), + ): + taps[index] = ( + beta + / np.sqrt(2.0) + * ( + ( + 1.0 + + 2.0 / np.pi + ) + * np.sin( + np.pi + / (4.0 * beta) + ) + + ( + 1.0 + - 2.0 / np.pi + ) + * np.cos( + np.pi + / (4.0 * beta) + ) + ) + ) + + continue + + numerator = ( + np.sin( + np.pi + * time_value + * (1.0 - beta) + ) + + ( + 4.0 + * beta + * time_value + * np.cos( + np.pi + * time_value + * (1.0 + beta) + ) + ) + ) + + denominator = ( + np.pi + * time_value + * ( + 1.0 + - ( + 4.0 + * beta + * time_value + ) ** 2 + ) + ) + + taps[index] = ( + numerator + / denominator + ) + + # Нормируем энергию фильтра. + taps /= np.sqrt( + np.sum( + taps ** 2 + ) + ) + + return taps + + +# ============================================================ +# Увеличение частоты дискретизации +# ============================================================ + +def upsample_symbols( + symbols: np.ndarray, + samples_per_symbol: int, +) -> np.ndarray: + """ + Вставить между символами нулевые сэмплы. + + Пример при SPS = 4: + + [1, -1] + ↓ + [1, 0, 0, 0, -1, 0, 0, 0] + """ + + symbols = np.asarray( + symbols, + dtype=np.complex128, + ) + + upsampled = np.zeros( + len(symbols) + * samples_per_symbol, + dtype=np.complex128, + ) + + upsampled[ + ::samples_per_symbol + ] = symbols + + return upsampled + + +# ============================================================ +# Спектр +# ============================================================ + +def calculate_normalized_spectrum( + iq_samples: np.ndarray, + sample_rate: float, +) -> tuple[np.ndarray, np.ndarray]: + """ + Рассчитать нормированный амплитудный спектр. + """ + + fft_size = 2 ** int( + np.ceil( + np.log2( + max( + len(iq_samples), + 1024, + ) + ) + ) + ) + + spectrum = np.fft.fftshift( + np.fft.fft( + iq_samples, + n=fft_size, + ) + ) + + frequencies = np.fft.fftshift( + np.fft.fftfreq( + fft_size, + d=1.0 / sample_rate, + ) + ) + + magnitude = np.abs( + spectrum + ) + + maximum_magnitude = np.max( + magnitude + ) + + magnitude_db = 20.0 * np.log10( + magnitude / maximum_magnitude + + 1e-12 + ) + + return frequencies, magnitude_db + + +# ============================================================ +# Формирование внутреннего пакета +# ============================================================ + +payload = MESSAGE.encode( + "utf-8" +) + +protocol_packet = build_packet( + payload=payload, + message_type=MESSAGE_TYPE_TEXT, + sequence_number=SEQUENCE_NUMBER, +) + + +# ============================================================ +# Формирование внешнего заголовка радиокадра +# ============================================================ + +if len(protocol_packet) > 65535: + raise ValueError( + "Внутренний пакет слишком велик " + "для 16-битного поля длины" + ) + +radio_header = struct.pack( + ">HH", + RADIO_SYNC_WORD, + len(protocol_packet), +) + +radio_header_bits = bytes_to_bits( + radio_header +) + +protocol_packet_bits = bytes_to_bits( + protocol_packet +) + +# Преамбула 101010... +preamble_bits = np.tile( + np.array( + [1, 0], + dtype=np.uint8, + ), + PREAMBLE_BIT_COUNT // 2, +) + +radio_frame_bits = np.concatenate( + [ + preamble_bits, + radio_header_bits, + protocol_packet_bits, + ] +) + + +# ============================================================ +# BPSK-модуляция +# ============================================================ + +radio_frame_symbols = bpsk_modulate( + radio_frame_bits +) + +upsampled_symbols = upsample_symbols( + radio_frame_symbols, + SAMPLES_PER_SYMBOL, +) + + +# ============================================================ +# Guard interval +# ============================================================ + +guard_samples = np.zeros( + GUARD_SYMBOL_COUNT + * SAMPLES_PER_SYMBOL, + dtype=np.complex128, +) + +guarded_upsampled_symbols = np.concatenate( + [ + guard_samples, + upsampled_symbols, + guard_samples, + ] +) + + +# ============================================================ +# RRC-фильтрация +# ============================================================ + +rrc_taps = root_raised_cosine_taps( + rolloff=RRC_ROLLOFF, + samples_per_symbol=SAMPLES_PER_SYMBOL, + span_symbols=RRC_SPAN_SYMBOLS, +) + +filtered_iq = np.convolve( + guarded_upsampled_symbols, + rrc_taps, + mode="full", +) + + +# ============================================================ +# Нормирование амплитуды +# ============================================================ + +maximum_amplitude = np.max( + np.abs( + filtered_iq + ) +) + +if maximum_amplitude == 0.0: + raise RuntimeError( + "Сформирован нулевой IQ-сигнал" + ) + +normalized_iq = ( + filtered_iq + / maximum_amplitude + * TX_AMPLITUDE +) + +tx_iq = normalized_iq.astype( + np.complex64 +) + + +# ============================================================ +# Параметры сигнала +# ============================================================ + +frame_duration_seconds = ( + len(tx_iq) + / SAMPLE_RATE +) + +theoretical_baseband_bandwidth_hz = ( + SYMBOL_RATE + * (1.0 + RRC_ROLLOFF) +) + +average_power = float( + np.mean( + np.abs(tx_iq) ** 2 + ) +) + +peak_power = float( + np.max( + np.abs(tx_iq) ** 2 + ) +) + +papr_db = 10.0 * np.log10( + peak_power / average_power +) + + +# ============================================================ +# Сохранение IQ +# ============================================================ + +# Формат NPY сохраняет тип и форму массива. +np.save( + NPY_PATH, + tx_iq, +) + +# complex64 записывается как чередующиеся: +# +# float32 I, float32 Q, float32 I, float32 Q... +tx_iq.tofile( + CF32_PATH +) + + +# ============================================================ +# Проверка сохранённых данных +# ============================================================ + +loaded_npy_iq = np.load( + NPY_PATH +) + +loaded_cf32_iq = np.fromfile( + CF32_PATH, + dtype=np.complex64, +) + +assert np.array_equal( + loaded_npy_iq, + tx_iq, +) + +assert np.array_equal( + loaded_cf32_iq, + tx_iq, +) + + +# ============================================================ +# Спектр +# ============================================================ + +frequencies_hz, spectrum_db = ( + calculate_normalized_spectrum( + iq_samples=tx_iq, + sample_rate=SAMPLE_RATE, + ) +) + + +# ============================================================ +# Графики +# ============================================================ + +figure, axes = plt.subplots( + 4, + 1, + figsize=(13, 13), +) + + +# ------------------------------------------------------------ +# 1. Структура битового радиокадра +# ------------------------------------------------------------ + +bit_indexes = np.arange( + len(radio_frame_bits) +) + +axes[0].step( + bit_indexes, + radio_frame_bits, + where="post", +) + +preamble_end = ( + PREAMBLE_BIT_COUNT +) + +sync_end = ( + preamble_end + 16 +) + +length_end = ( + sync_end + 16 +) + +axes[0].axvline( + preamble_end, + linestyle="--", +) + +axes[0].axvline( + sync_end, + linestyle="--", +) + +axes[0].axvline( + length_end, + linestyle="--", +) + +axes[0].text( + PREAMBLE_BIT_COUNT / 2, + 1.08, + "PREAMBLE", + ha="center", +) + +axes[0].text( + preamble_end + 8, + 1.08, + "SYNC", + ha="center", +) + +axes[0].text( + sync_end + 8, + 1.08, + "LENGTH", + ha="center", +) + +axes[0].text( + length_end + + len(protocol_packet_bits) / 2, + 1.08, + "SDR ROVER PACKET", + ha="center", +) + +axes[0].set_ylim( + -0.2, + 1.3, +) + +axes[0].set_xlabel( + "Номер бита" +) + +axes[0].set_ylabel( + "Бит" +) + +axes[0].set_title( + "Структура радиокадра" +) + +axes[0].grid( + True +) + + +# ------------------------------------------------------------ +# 2. Первые BPSK-символы +# ------------------------------------------------------------ + +symbol_plot_count = min( + 100, + len(radio_frame_symbols), +) + +axes[1].step( + np.arange( + symbol_plot_count + ), + radio_frame_symbols[ + :symbol_plot_count + ].real, + where="post", +) + +axes[1].set_xlabel( + "Номер символа" +) + +axes[1].set_ylabel( + "Амплитуда BPSK" +) + +axes[1].set_title( + "Первые BPSK-символы" +) + +axes[1].set_ylim( + -1.3, + 1.3, +) + +axes[1].grid( + True +) + + +# ------------------------------------------------------------ +# 3. Отфильтрованный IQ-сигнал +# ------------------------------------------------------------ + +filter_delay_samples = ( + len(rrc_taps) - 1 +) // 2 + +frame_start_sample = ( + GUARD_SYMBOL_COUNT + * SAMPLES_PER_SYMBOL + + filter_delay_samples +) + +waveform_plot_symbol_count = 20 + +waveform_plot_start = ( + frame_start_sample +) + +waveform_plot_end = ( + waveform_plot_start + + waveform_plot_symbol_count + * SAMPLES_PER_SYMBOL +) + +waveform_plot_samples = tx_iq[ + waveform_plot_start: + waveform_plot_end +] + +time_axis_ms = ( + np.arange( + len(waveform_plot_samples) + ) + / SAMPLE_RATE + * 1000.0 +) + +axes[2].plot( + time_axis_ms, + waveform_plot_samples.real, + label="I", +) + +axes[2].plot( + time_axis_ms, + waveform_plot_samples.imag, + label="Q", +) + +axes[2].set_xlabel( + "Время, мс" +) + +axes[2].set_ylabel( + "Амплитуда" +) + +axes[2].set_title( + "BPSK после Root Raised Cosine-фильтра" +) + +axes[2].grid( + True +) + +axes[2].legend() + + +# ------------------------------------------------------------ +# 4. Спектр +# ------------------------------------------------------------ + +axes[3].plot( + frequencies_hz / 1000.0, + spectrum_db, +) + +axes[3].axvline( + theoretical_baseband_bandwidth_hz + / 2.0 + / 1000.0, + linestyle="--", +) + +axes[3].axvline( + -theoretical_baseband_bandwidth_hz + / 2.0 + / 1000.0, + linestyle="--", +) + +axes[3].set_xlim( + -100, + 100, +) + +axes[3].set_ylim( + -100, + 5, +) + +axes[3].set_xlabel( + "Частота относительно несущей, кГц" +) + +axes[3].set_ylabel( + "Нормированный уровень, дБ" +) + +axes[3].set_title( + "Спектр сформированного IQ-сигнала" +) + +axes[3].grid( + True +) + + +figure.tight_layout() + +figure.savefig( + GRAPH_PATH, + dpi=160, +) + +plt.close( + figure +) + + +# ============================================================ +# Текстовый отчёт +# ============================================================ + +report_lines = [ + "Lab018. BPSK radio frame", + "", + f"Message: {MESSAGE}", + f"Protocol packet bytes: {len(protocol_packet)}", + f"Preamble bits: {len(preamble_bits)}", + f"Radio header bits: {len(radio_header_bits)}", + f"Protocol packet bits: {len(protocol_packet_bits)}", + f"Total radio frame bits: {len(radio_frame_bits)}", + f"Symbol rate: {SYMBOL_RATE} symbols/s", + f"Samples per symbol: {SAMPLES_PER_SYMBOL}", + f"Sample rate: {SAMPLE_RATE} samples/s", + f"RRC rolloff: {RRC_ROLLOFF}", + f"RRC taps: {len(rrc_taps)}", + f"IQ sample count: {len(tx_iq)}", + f"Frame duration: {frame_duration_seconds:.6f} s", + ( + "Approximate occupied bandwidth: " + f"{theoretical_baseband_bandwidth_hz:.1f} Hz" + ), + f"Average normalized power: {average_power:.6f}", + f"Peak normalized power: {peak_power:.6f}", + f"PAPR: {papr_db:.2f} dB", + f"NPY file: {NPY_PATH}", + f"CF32 file: {CF32_PATH}", +] + +INFO_PATH.write_text( + "\n".join( + report_lines + ), + encoding="utf-8", +) + + +# ============================================================ +# Вывод результатов +# ============================================================ + +print( + "=== Lab018. Формирование BPSK-радиокадра ===" +) + +print("\nИсходное сообщение:") + +print(MESSAGE) + +print("\nВнутренний пакет SDR Rover Link:") + +print( + len(protocol_packet), + "байт", +) + +print("\nРадиосинхрослово:") + +print( + f"0x{RADIO_SYNC_WORD:04X}" +) + +print("\nСтруктура радиокадра:") + +print( + "Преамбула:", + len(preamble_bits), + "бит", +) + +print( + "Радиозаголовок:", + len(radio_header_bits), + "бит", +) + +print( + "Внутренний пакет:", + len(protocol_packet_bits), + "бит", +) + +print( + "Всего:", + len(radio_frame_bits), + "битов и BPSK-символов", +) + +print("\nПараметры дискретизации:") + +print( + "Символьная скорость:", + SYMBOL_RATE, + "символов/с", +) + +print( + "Сэмплов на символ:", + SAMPLES_PER_SYMBOL, +) + +print( + "Частота дискретизации:", + SAMPLE_RATE, + "сэмплов/с", +) + +print("\nRRC-фильтр:") + +print( + "Rolloff:", + RRC_ROLLOFF, +) + +print( + "Количество коэффициентов:", + len(rrc_taps), +) + +print("\nIQ-сигнал:") + +print( + "Количество сэмплов:", + len(tx_iq), +) + +print( + "Длительность:", + f"{frame_duration_seconds * 1000:.2f}", + "мс", +) + +print( + "Максимальная амплитуда:", + f"{np.max(np.abs(tx_iq)):.3f}", +) + +print( + "PAPR:", + f"{papr_db:.2f}", + "дБ", +) + +print("\nОценочная ширина спектра:") + +print( + f"{theoretical_baseband_bandwidth_hz / 1000:.1f}", + "кГц", +) + +print("\nФайл NumPy:") + +print(NPY_PATH) + +print("\nФайл raw complex float32:") + +print(CF32_PATH) + +print("\nГрафик:") + +print(GRAPH_PATH) + +print("\nОтчёт:") + +print(INFO_PATH) + + +# ============================================================ +# Автоматические проверки +# ============================================================ + +assert len(preamble_bits) == PREAMBLE_BIT_COUNT + +assert radio_header[:2] == struct.pack( + ">H", + RADIO_SYNC_WORD, +) + +assert len(radio_header) == 4 + +assert len(radio_frame_symbols) == len( + radio_frame_bits +) + +assert np.iscomplexobj( + tx_iq +) + +assert tx_iq.dtype == np.complex64 + +assert np.max( + np.abs(tx_iq) +) <= TX_AMPLITUDE + 1e-6 + +assert NPY_PATH.exists() +assert CF32_PATH.exists() +assert GRAPH_PATH.exists() +assert INFO_PATH.exists() + +print( + "\nПроверка пройдена: " + "реальный BPSK-радиокадр и IQ-сэмплы сформированы." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab019_bpsk_receiver.py b/Projects/SDR_Rover/tests/lab019_bpsk_receiver.py new file mode 100644 index 0000000..29f5ec6 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab019_bpsk_receiver.py @@ -0,0 +1,1212 @@ +""" +Lab019. Программный приёмник BPSK-радиокадра. + +Программа: + +1. Загружает IQ-сэмплы, созданные в Lab018. +2. Намеренно добавляет неизвестную задержку. +3. Намеренно поворачивает фазу сигнала. +4. Выполняет согласованную RRC-фильтрацию. +5. Перебирает все возможные фазы дискретизации. +6. Ищет PREAMBLE + RADIO SYNC корреляционным методом. +7. Оценивает фазовый поворот BPSK. +8. Восстанавливает биты радиокадра. +9. Читает длину внутреннего пакета. +10. Разбирает пакет SDR Rover Link. +11. Проверяет CRC-32. +12. Восстанавливает исходное сообщение. + +Упрощения: + +- частота передатчика и приёмника совпадает; +- частота дискретизации совпадает; +- доплеровский сдвиг отсутствует; +- многолучёвость отсутствует; +- шум пока не добавляется. +""" + +from pathlib import Path +import struct + +import matplotlib.pyplot as plt +import numpy as np + +from protocol.packet import ( + MESSAGE_TYPE_TEXT, + parse_packet, +) + + +# ============================================================ +# Настройки радиокадра +# ============================================================ + +RADIO_SYNC_WORD = 0xD391 + +PREAMBLE_BIT_COUNT = 64 + +SAMPLES_PER_SYMBOL = 32 + +RRC_ROLLOFF = 0.35 +RRC_SPAN_SYMBOLS = 10 + + +# ============================================================ +# Контрольные данные +# ============================================================ + +EXPECTED_MESSAGE = "ПРИВЕТ SDR" +EXPECTED_SEQUENCE_NUMBER = 18 + + +# ============================================================ +# Искусственные искажения для проверки приёмника +# ============================================================ + +# Приёмнику заранее неизвестно, +# с какого конкретно сэмпла начинается сигнал. +TEST_SAMPLE_DELAY = 11 + +# Приёмнику также заранее неизвестна +# фаза несущей BPSK. +TEST_PHASE_OFFSET_DEGREES = 37.0 + + +# ============================================================ +# Пути +# ============================================================ + +INPUT_IQ_PATH = Path( + "data/processed/lab018/" + "lab018_bpsk_tx_iq.npy" +) + +OUTPUT_DIRECTORY = Path( + "data/processed/lab019" +) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + +GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab019_bpsk_receiver.png" +) + +REPORT_PATH = ( + OUTPUT_DIRECTORY + / "lab019_receiver_report.txt" +) + +RECOVERED_PACKET_PATH = ( + OUTPUT_DIRECTORY + / "lab019_recovered_packet.bin" +) + + +# ============================================================ +# Преобразование bytes → bits +# ============================================================ + +def bytes_to_bits( + data: bytes, +) -> np.ndarray: + """ + Преобразовать bytes в массив битов 0 и 1. + """ + + if not isinstance(data, bytes): + raise TypeError( + "data должен иметь тип bytes" + ) + + byte_array = np.frombuffer( + data, + dtype=np.uint8, + ) + + return np.unpackbits( + byte_array + ) + + +# ============================================================ +# Преобразование bits → bytes +# ============================================================ + +def bits_to_bytes( + bits: np.ndarray, +) -> bytes: + """ + Упаковать отдельные биты обратно в bytes. + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + if bits.ndim != 1: + raise ValueError( + "bits должен быть одномерным массивом" + ) + + if len(bits) % 8 != 0: + raise ValueError( + "Количество битов должно быть кратно восьми" + ) + + if not np.all( + (bits == 0) | (bits == 1) + ): + raise ValueError( + "bits должен содержать только 0 и 1" + ) + + return np.packbits( + bits + ).tobytes() + + +# ============================================================ +# BPSK-модулятор для опорной последовательности +# ============================================================ + +def bpsk_modulate( + bits: np.ndarray, +) -> np.ndarray: + """ + Преобразовать биты в BPSK-символы. + + 0 → -1 + 1 → +1 + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + symbols = ( + 2.0 * bits.astype(np.float64) + - 1.0 + ) + + return symbols.astype( + np.complex128 + ) + + +# ============================================================ +# BPSK-демодулятор +# ============================================================ + +def bpsk_demodulate( + symbols: np.ndarray, +) -> np.ndarray: + """ + Принять решение по знаку компоненты I. + + I < 0 → 0 + I >= 0 → 1 + """ + + return ( + symbols.real >= 0.0 + ).astype(np.uint8) + + +# ============================================================ +# Root Raised Cosine-фильтр +# ============================================================ + +def root_raised_cosine_taps( + rolloff: float, + samples_per_symbol: int, + span_symbols: int, +) -> np.ndarray: + """ + Рассчитать коэффициенты RRC-фильтра. + + Формула и параметры совпадают с Lab018. + """ + + if not 0.0 < rolloff <= 1.0: + raise ValueError( + "rolloff должен находиться в диапазоне 0...1" + ) + + if samples_per_symbol <= 0: + raise ValueError( + "samples_per_symbol должен быть положительным" + ) + + if span_symbols <= 0: + raise ValueError( + "span_symbols должен быть положительным" + ) + + if span_symbols % 2 != 0: + raise ValueError( + "span_symbols должен быть чётным" + ) + + half_sample_count = ( + span_symbols + * samples_per_symbol + // 2 + ) + + sample_indexes = np.arange( + -half_sample_count, + half_sample_count + 1, + dtype=np.float64, + ) + + time_values = ( + sample_indexes + / samples_per_symbol + ) + + taps = np.zeros_like( + time_values + ) + + beta = rolloff + + for index, time_value in enumerate( + time_values + ): + + if np.isclose( + time_value, + 0.0, + ): + taps[index] = ( + 1.0 + - beta + + 4.0 * beta / np.pi + ) + + continue + + if np.isclose( + abs(time_value), + 1.0 / (4.0 * beta), + ): + taps[index] = ( + beta + / np.sqrt(2.0) + * ( + ( + 1.0 + + 2.0 / np.pi + ) + * np.sin( + np.pi + / (4.0 * beta) + ) + + ( + 1.0 + - 2.0 / np.pi + ) + * np.cos( + np.pi + / (4.0 * beta) + ) + ) + ) + + continue + + numerator = ( + np.sin( + np.pi + * time_value + * (1.0 - beta) + ) + + ( + 4.0 + * beta + * time_value + * np.cos( + np.pi + * time_value + * (1.0 + beta) + ) + ) + ) + + denominator = ( + np.pi + * time_value + * ( + 1.0 + - ( + 4.0 + * beta + * time_value + ) ** 2 + ) + ) + + taps[index] = ( + numerator + / denominator + ) + + taps /= np.sqrt( + np.sum( + taps ** 2 + ) + ) + + return taps + + +# ============================================================ +# Формирование известного маркера +# ============================================================ + +def build_frame_marker( +) -> tuple[np.ndarray, np.ndarray]: + """ + Сформировать: + + PREAMBLE + RADIO SYNC + + Возвращает биты и BPSK-символы маркера. + """ + + preamble_bits = np.tile( + np.array( + [1, 0], + dtype=np.uint8, + ), + PREAMBLE_BIT_COUNT // 2, + ) + + sync_bytes = struct.pack( + ">H", + RADIO_SYNC_WORD, + ) + + sync_bits = bytes_to_bits( + sync_bytes + ) + + marker_bits = np.concatenate( + [ + preamble_bits, + sync_bits, + ] + ) + + marker_symbols = bpsk_modulate( + marker_bits + ) + + return marker_bits, marker_symbols + + +# ============================================================ +# Корреляционный поиск радиокадра +# ============================================================ + +def find_radio_frame( + matched_iq: np.ndarray, + marker_symbols: np.ndarray, + samples_per_symbol: int, +) -> dict: + """ + Найти фазу дискретизации и начало радиокадра. + + Для каждой возможной фазы: + + 0, 1, 2, ... SPS - 1 + + берём по одному сэмплу на символ и вычисляем + нормированную корреляцию с известным маркером. + + Использование комплексной корреляции позволяет + одновременно оценить постоянный фазовый поворот. + """ + + marker_energy = float( + np.sum( + np.abs(marker_symbols) ** 2 + ) + ) + + best_result = None + + for sample_phase in range( + samples_per_symbol + ): + + symbol_samples = matched_iq[ + sample_phase::samples_per_symbol + ] + + if len(symbol_samples) < len( + marker_symbols + ): + continue + + correlation = np.correlate( + symbol_samples, + marker_symbols, + mode="valid", + ) + + window_energy = np.convolve( + np.abs(symbol_samples) ** 2, + np.ones( + len(marker_symbols) + ), + mode="valid", + ) + + denominator = ( + np.sqrt( + window_energy + * marker_energy + ) + + 1e-12 + ) + + normalized_correlation = ( + np.abs(correlation) + / denominator + ) + + start_symbol_index = int( + np.argmax( + normalized_correlation + ) + ) + + correlation_score = float( + normalized_correlation[ + start_symbol_index + ] + ) + + complex_correlation = correlation[ + start_symbol_index + ] + + if ( + best_result is None + or correlation_score + > best_result["score"] + ): + best_result = { + "score": correlation_score, + "sample_phase": sample_phase, + "start_symbol_index": ( + start_symbol_index + ), + "symbol_samples": ( + symbol_samples + ), + "correlation": correlation, + "normalized_correlation": ( + normalized_correlation + ), + "complex_correlation": ( + complex_correlation + ), + } + + if best_result is None: + raise RuntimeError( + "Не удалось выполнить поиск радиокадра" + ) + + return best_result + + +# ============================================================ +# Загрузка IQ из Lab018 +# ============================================================ + +if not INPUT_IQ_PATH.exists(): + raise FileNotFoundError( + f"Не найден IQ-файл: {INPUT_IQ_PATH}. " + "Сначала необходимо выполнить Lab018." + ) + +transmitted_iq = np.load( + INPUT_IQ_PATH +) + +if transmitted_iq.ndim != 1: + raise ValueError( + "IQ-массив должен быть одномерным" + ) + +if not np.iscomplexobj( + transmitted_iq +): + raise ValueError( + "Файл не содержит комплексные IQ-сэмплы" + ) + + +# ============================================================ +# Имитация неизвестных параметров канала +# ============================================================ + +phase_offset_radians = np.deg2rad( + TEST_PHASE_OFFSET_DEGREES +) + +phase_rotated_iq = ( + transmitted_iq + * np.exp( + 1j * phase_offset_radians + ) +) + +delayed_iq = np.concatenate( + [ + np.zeros( + TEST_SAMPLE_DELAY, + dtype=np.complex64, + ), + phase_rotated_iq.astype( + np.complex64 + ), + ] +) + +received_iq = delayed_iq + + +# ============================================================ +# Согласованный RRC-фильтр +# ============================================================ + +rrc_taps = root_raised_cosine_taps( + rolloff=RRC_ROLLOFF, + samples_per_symbol=SAMPLES_PER_SYMBOL, + span_symbols=RRC_SPAN_SYMBOLS, +) + +matched_iq = np.convolve( + received_iq, + rrc_taps, + mode="full", +) + + +# ============================================================ +# Поиск PREAMBLE + RADIO SYNC +# ============================================================ + +marker_bits, marker_symbols = ( + build_frame_marker() +) + +search_result = find_radio_frame( + matched_iq=matched_iq, + marker_symbols=marker_symbols, + samples_per_symbol=SAMPLES_PER_SYMBOL, +) + +correlation_score = search_result[ + "score" +] + +selected_sample_phase = search_result[ + "sample_phase" +] + +frame_start_symbol = search_result[ + "start_symbol_index" +] + +symbol_samples_before_correction = ( + search_result["symbol_samples"] +) + +complex_correlation = search_result[ + "complex_correlation" +] + + +# ============================================================ +# Оценка и компенсация фазы +# ============================================================ + +estimated_phase_radians = np.angle( + complex_correlation +) + +estimated_phase_degrees = np.rad2deg( + estimated_phase_radians +) + +phase_correction = np.exp( + -1j * estimated_phase_radians +) + +corrected_symbol_samples = ( + symbol_samples_before_correction + * phase_correction +) + + +# ============================================================ +# Демодуляция +# ============================================================ + +all_received_bits = bpsk_demodulate( + corrected_symbol_samples +) + +available_frame_bits = all_received_bits[ + frame_start_symbol: +] + + +# ============================================================ +# Проверка преамбулы +# ============================================================ + +received_marker_bits = available_frame_bits[ + :len(marker_bits) +] + +marker_bit_errors = int( + np.count_nonzero( + received_marker_bits + != marker_bits + ) +) + + +# ============================================================ +# Чтение радиозаголовка +# ============================================================ + +RADIO_HEADER_BIT_COUNT = 32 + +radio_header_start = ( + PREAMBLE_BIT_COUNT +) + +radio_header_end = ( + radio_header_start + + RADIO_HEADER_BIT_COUNT +) + +if len(available_frame_bits) < radio_header_end: + raise RuntimeError( + "Недостаточно битов для чтения радиозаголовка" + ) + +received_radio_header_bits = ( + available_frame_bits[ + radio_header_start: + radio_header_end + ] +) + +received_radio_header = bits_to_bytes( + received_radio_header_bits +) + +( + received_radio_sync, + protocol_packet_length, +) = struct.unpack( + ">HH", + received_radio_header, +) + + +# ============================================================ +# Извлечение внутреннего пакета +# ============================================================ + +if received_radio_sync != RADIO_SYNC_WORD: + raise RuntimeError( + "Получено неверное радиосинхрослово: " + f"0x{received_radio_sync:04X}" + ) + +protocol_packet_bit_count = ( + protocol_packet_length * 8 +) + +protocol_packet_start = ( + radio_header_end +) + +protocol_packet_end = ( + protocol_packet_start + + protocol_packet_bit_count +) + +if len(available_frame_bits) < protocol_packet_end: + raise RuntimeError( + "Принятый радиокадр короче значения LENGTH" + ) + +received_protocol_packet_bits = ( + available_frame_bits[ + protocol_packet_start: + protocol_packet_end + ] +) + +received_protocol_packet = bits_to_bytes( + received_protocol_packet_bits +) + +RECOVERED_PACKET_PATH.write_bytes( + received_protocol_packet +) + + +# ============================================================ +# Разбор внутреннего пакета +# ============================================================ + +parsed_packet = parse_packet( + received_protocol_packet +) + +restored_message = ( + parsed_packet.payload.decode( + "utf-8" + ) +) + + +# ============================================================ +# Вывод +# ============================================================ + +print( + "=== Lab019. Программный BPSK-приёмник ===" +) + +print("\nВходной IQ-файл:") + +print(INPUT_IQ_PATH) + +print("\nКоличество входных IQ-сэмплов:") + +print(len(transmitted_iq)) + +print("\nИскусственно внесено:") + +print( + "Задержка:", + TEST_SAMPLE_DELAY, + "сэмплов", +) + +print( + "Поворот фазы:", + TEST_PHASE_OFFSET_DEGREES, + "градусов", +) + + +print("\nРезультат синхронизации:") + +print( + "Найденная фаза дискретизации:", + selected_sample_phase, + "из", + SAMPLES_PER_SYMBOL, +) + +print( + "Начало кадра в потоке символов:", + frame_start_symbol, +) + +print( + "Корреляционная оценка:", + f"{correlation_score:.6f}", +) + +print( + "Оценённый фазовый поворот:", + f"{estimated_phase_degrees:.2f}", + "градуса", +) + +print( + "Ошибки в PREAMBLE + SYNC:", + marker_bit_errors, +) + + +print("\nРадиозаголовок:") + +print( + "RADIO SYNC:", + f"0x{received_radio_sync:04X}", +) + +print( + "LENGTH:", + protocol_packet_length, + "байт", +) + + +print("\nВнутренний пакет:") + +print( + "Версия:", + parsed_packet.version, +) + +print( + "Тип сообщения:", + parsed_packet.message_type, +) + +print( + "Порядковый номер:", + parsed_packet.sequence_number, +) + +print( + "Размер PAYLOAD:", + len(parsed_packet.payload), + "байт", +) + + +print("\nВосстановленное сообщение:") + +print(restored_message) + + +print("\nВосстановленный бинарный пакет:") + +print(RECOVERED_PACKET_PATH) + + +# ============================================================ +# Графики +# ============================================================ + +figure, axes = plt.subplots( + 2, + 2, + figsize=(13, 10), +) + + +# ------------------------------------------------------------ +# 1. Корреляция +# ------------------------------------------------------------ + +normalized_correlation = search_result[ + "normalized_correlation" +] + +axes[0, 0].plot( + normalized_correlation +) + +axes[0, 0].axvline( + frame_start_symbol, + linestyle="--", +) + +axes[0, 0].set_xlabel( + "Предполагаемое начало маркера, символ" +) + +axes[0, 0].set_ylabel( + "Нормированная корреляция" +) + +axes[0, 0].set_title( + "Поиск PREAMBLE + RADIO SYNC" +) + +axes[0, 0].grid( + True +) + + +# ------------------------------------------------------------ +# 2. Созвездие до коррекции +# ------------------------------------------------------------ + +marker_start = frame_start_symbol + +marker_end = ( + marker_start + + len(marker_symbols) +) + +marker_samples_before = ( + symbol_samples_before_correction[ + marker_start: + marker_end + ] +) + +axes[0, 1].scatter( + marker_samples_before.real, + marker_samples_before.imag, + s=20, +) + +axes[0, 1].axhline( + 0.0, + linewidth=1, +) + +axes[0, 1].axvline( + 0.0, + linewidth=1, +) + +axes[0, 1].set_xlabel( + "I" +) + +axes[0, 1].set_ylabel( + "Q" +) + +axes[0, 1].set_title( + "BPSK до компенсации фазы" +) + +axes[0, 1].axis( + "equal" +) + +axes[0, 1].grid( + True +) + + +# ------------------------------------------------------------ +# 3. Созвездие после коррекции +# ------------------------------------------------------------ + +marker_samples_after = ( + corrected_symbol_samples[ + marker_start: + marker_end + ] +) + +axes[1, 0].scatter( + marker_samples_after.real, + marker_samples_after.imag, + s=20, +) + +axes[1, 0].axhline( + 0.0, + linewidth=1, +) + +axes[1, 0].axvline( + 0.0, + linewidth=1, +) + +axes[1, 0].set_xlabel( + "I" +) + +axes[1, 0].set_ylabel( + "Q" +) + +axes[1, 0].set_title( + "BPSK после компенсации фазы" +) + +axes[1, 0].axis( + "equal" +) + +axes[1, 0].grid( + True +) + + +# ------------------------------------------------------------ +# 4. Восстановленные биты кадра +# ------------------------------------------------------------ + +received_frame_bits = available_frame_bits[ + :protocol_packet_end +] + +axes[1, 1].step( + np.arange( + len(received_frame_bits) + ), + received_frame_bits, + where="post", +) + +axes[1, 1].axvline( + PREAMBLE_BIT_COUNT, + linestyle="--", +) + +axes[1, 1].axvline( + radio_header_end, + linestyle="--", +) + +axes[1, 1].set_xlabel( + "Номер бита" +) + +axes[1, 1].set_ylabel( + "Бит" +) + +axes[1, 1].set_title( + "Восстановленный радиокадр" +) + +axes[1, 1].set_ylim( + -0.2, + 1.2, +) + +axes[1, 1].grid( + True +) + + +figure.tight_layout() + +figure.savefig( + GRAPH_PATH, + dpi=160, +) + +plt.close( + figure +) + + +# ============================================================ +# Отчёт +# ============================================================ + +report_lines = [ + "Lab019. BPSK receiver", + "", + f"Input IQ: {INPUT_IQ_PATH}", + f"Artificial sample delay: {TEST_SAMPLE_DELAY}", + ( + "Artificial phase offset: " + f"{TEST_PHASE_OFFSET_DEGREES:.2f} deg" + ), + ( + "Detected sample phase: " + f"{selected_sample_phase}" + ), + ( + "Detected frame start symbol: " + f"{frame_start_symbol}" + ), + ( + "Correlation score: " + f"{correlation_score:.6f}" + ), + ( + "Estimated phase: " + f"{estimated_phase_degrees:.2f} deg" + ), + ( + "Marker bit errors: " + f"{marker_bit_errors}" + ), + ( + "Radio sync: " + f"0x{received_radio_sync:04X}" + ), + ( + "Protocol packet length: " + f"{protocol_packet_length} bytes" + ), + ( + "Sequence number: " + f"{parsed_packet.sequence_number}" + ), + f"Restored message: {restored_message}", +] + +REPORT_PATH.write_text( + "\n".join( + report_lines + ), + encoding="utf-8", +) + + +# ============================================================ +# Автоматические проверки +# ============================================================ + +assert received_radio_sync == RADIO_SYNC_WORD + +assert protocol_packet_length == len( + received_protocol_packet +) + +assert marker_bit_errors == 0 + +assert parsed_packet.message_type == ( + MESSAGE_TYPE_TEXT +) + +assert parsed_packet.sequence_number == ( + EXPECTED_SEQUENCE_NUMBER +) + +assert restored_message == EXPECTED_MESSAGE + +assert abs( + estimated_phase_degrees + - TEST_PHASE_OFFSET_DEGREES +) < 1.0 + +assert correlation_score > 0.95 + +assert GRAPH_PATH.exists() +assert REPORT_PATH.exists() +assert RECOVERED_PACKET_PATH.exists() + + +print("\nГрафик приёмника:") + +print(GRAPH_PATH) + +print("\nОтчёт:") + +print(REPORT_PATH) + +print( + "\nПроверка пройдена: " + "радиокадр синхронизирован, " + "BPSK демодулирован, " + "внутренний пакет восстановлен и прошёл CRC." +) diff --git a/Projects/SDR_Rover/tests/lab020_bpsk_frame_error_rate.py b/Projects/SDR_Rover/tests/lab020_bpsk_frame_error_rate.py new file mode 100644 index 0000000..7db38ae --- /dev/null +++ b/Projects/SDR_Rover/tests/lab020_bpsk_frame_error_rate.py @@ -0,0 +1,1494 @@ +""" +Lab020. Frame Error Rate полного BPSK-радиокадра. + +Программа многократно передаёт IQ-радиокадр из Lab018 +при разных значениях Eb/N0. + +В каждой попытке случайным образом изменяются: + +- задержка начала сигнала; +- постоянный фазовый поворот BPSK; +- реализация AWGN-шума. + +Приёмник выполняет: + +1. Согласованную RRC-фильтрацию. +2. Поиск PREAMBLE + RADIO SYNC. +3. Выбор фазы символьной дискретизации. +4. Оценку и компенсацию фазового поворота. +5. Демодуляцию BPSK. +6. Чтение радиозаголовка. +7. Извлечение внутреннего пакета. +8. Проверку структуры и CRC-32. +9. Восстановление исходного сообщения. + +Результат: + +FER — Frame Error Rate, доля радиокадров, +которые не удалось полностью восстановить. +""" + +from csv import DictWriter +from math import erfc, expm1, log1p, sqrt +from pathlib import Path +import struct + +import matplotlib.pyplot as plt +import numpy as np +from scipy.signal import fftconvolve + +from protocol.packet import ( + CRCError, + MESSAGE_TYPE_TEXT, + PacketError, + parse_packet, +) + + +# ============================================================ +# Параметры радиокадра из Lab018 +# ============================================================ + +RADIO_SYNC_WORD = 0xD391 + +PREAMBLE_BIT_COUNT = 64 + +SAMPLES_PER_SYMBOL = 32 + +RRC_ROLLOFF = 0.35 +RRC_SPAN_SYMBOLS = 10 + +# Полный радиокадр: +# +# PREAMBLE 64 бита +# RADIO HEADER 32 бита +# INNER PACKET 224 бита +# +# Итого 320 бит +RADIO_FRAME_BIT_COUNT = 320 + + +# ============================================================ +# Контрольные данные +# ============================================================ + +EXPECTED_MESSAGE = "ПРИВЕТ SDR" +EXPECTED_SEQUENCE_NUMBER = 18 + + +# ============================================================ +# Настройки эксперимента +# ============================================================ + +EB_N0_VALUES_DB = [ + 4.0, + 5.0, + 6.0, + 7.0, + 8.0, + 10.0, + 12.0, +] + +TRIALS_PER_EB_N0 = 100 + +RANDOM_SEED = 2026 + +# Максимальная случайная задержка начала кадра. +MAX_RANDOM_DELAY_SAMPLES = ( + 2 * SAMPLES_PER_SYMBOL +) + +# Если нормированная корреляция ниже этого значения, +# считаем, что маркер радиокадра не обнаружен. +DETECTION_THRESHOLD = 0.55 + +# Защита от повреждённого поля LENGTH. +MAX_PROTOCOL_PACKET_SIZE = 4096 + + +# ============================================================ +# Пути +# ============================================================ + +INPUT_IQ_PATH = Path( + "data/processed/lab018/" + "lab018_bpsk_tx_iq.npy" +) + +OUTPUT_DIRECTORY = Path( + "data/processed/lab020" +) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + +CSV_PATH = ( + OUTPUT_DIRECTORY + / "lab020_frame_error_results.csv" +) + +GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab020_frame_error_rate.png" +) + +REPORT_PATH = ( + OUTPUT_DIRECTORY + / "lab020_frame_error_report.txt" +) + + +# ============================================================ +# Статусы одной попытки +# ============================================================ + +STATUS_SUCCESS = "SUCCESS" +STATUS_DETECTION_FAIL = "DETECTION_FAIL" +STATUS_HEADER_ERROR = "HEADER_ERROR" +STATUS_CRC_ERROR = "CRC_ERROR" +STATUS_PACKET_ERROR = "PACKET_ERROR" + + +# ============================================================ +# Преобразование bytes → bits +# ============================================================ + +def bytes_to_bits( + data: bytes, +) -> np.ndarray: + """ + Преобразовать bytes в одномерный массив битов. + """ + + if not isinstance(data, bytes): + raise TypeError( + "data должен иметь тип bytes" + ) + + return np.unpackbits( + np.frombuffer( + data, + dtype=np.uint8, + ) + ) + + +# ============================================================ +# Преобразование bits → bytes +# ============================================================ + +def bits_to_bytes( + bits: np.ndarray, +) -> bytes: + """ + Упаковать биты обратно в bytes. + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + if bits.ndim != 1: + raise ValueError( + "bits должен быть одномерным массивом" + ) + + if len(bits) % 8 != 0: + raise ValueError( + "Количество битов должно быть кратно восьми" + ) + + if not np.all( + (bits == 0) | (bits == 1) + ): + raise ValueError( + "bits должен содержать только 0 и 1" + ) + + return np.packbits( + bits + ).tobytes() + + +# ============================================================ +# BPSK +# ============================================================ + +def bpsk_modulate( + bits: np.ndarray, +) -> np.ndarray: + """ + Преобразовать биты в опорные BPSK-символы. + + 0 → -1 + 1 → +1 + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + symbols = ( + 2.0 * bits.astype(np.float64) + - 1.0 + ) + + return symbols.astype( + np.complex128 + ) + + +def bpsk_demodulate( + symbols: np.ndarray, +) -> np.ndarray: + """ + Демодулировать BPSK по знаку компоненты I. + """ + + return ( + symbols.real >= 0.0 + ).astype(np.uint8) + + +# ============================================================ +# Root Raised Cosine-фильтр +# ============================================================ + +def root_raised_cosine_taps( + rolloff: float, + samples_per_symbol: int, + span_symbols: int, +) -> np.ndarray: + """ + Рассчитать коэффициенты RRC-фильтра. + + Параметры совпадают с Lab018 и Lab019. + """ + + if not 0.0 < rolloff <= 1.0: + raise ValueError( + "rolloff должен находиться в диапазоне 0...1" + ) + + if samples_per_symbol <= 0: + raise ValueError( + "samples_per_symbol должен быть положительным" + ) + + if span_symbols <= 0: + raise ValueError( + "span_symbols должен быть положительным" + ) + + if span_symbols % 2 != 0: + raise ValueError( + "span_symbols должен быть чётным" + ) + + half_sample_count = ( + span_symbols + * samples_per_symbol + // 2 + ) + + sample_indexes = np.arange( + -half_sample_count, + half_sample_count + 1, + dtype=np.float64, + ) + + time_values = ( + sample_indexes + / samples_per_symbol + ) + + taps = np.zeros_like( + time_values + ) + + beta = rolloff + + for index, time_value in enumerate( + time_values + ): + + if np.isclose( + time_value, + 0.0, + ): + taps[index] = ( + 1.0 + - beta + + 4.0 * beta / np.pi + ) + + continue + + if np.isclose( + abs(time_value), + 1.0 / (4.0 * beta), + ): + taps[index] = ( + beta + / np.sqrt(2.0) + * ( + ( + 1.0 + + 2.0 / np.pi + ) + * np.sin( + np.pi + / (4.0 * beta) + ) + + ( + 1.0 + - 2.0 / np.pi + ) + * np.cos( + np.pi + / (4.0 * beta) + ) + ) + ) + + continue + + numerator = ( + np.sin( + np.pi + * time_value + * (1.0 - beta) + ) + + ( + 4.0 + * beta + * time_value + * np.cos( + np.pi + * time_value + * (1.0 + beta) + ) + ) + ) + + denominator = ( + np.pi + * time_value + * ( + 1.0 + - ( + 4.0 + * beta + * time_value + ) ** 2 + ) + ) + + taps[index] = ( + numerator + / denominator + ) + + taps /= np.sqrt( + np.sum( + taps ** 2 + ) + ) + + return taps + + +# ============================================================ +# Маркер PREAMBLE + RADIO SYNC +# ============================================================ + +def build_frame_marker( +) -> tuple[np.ndarray, np.ndarray]: + """ + Сформировать биты и BPSK-символы маркера. + """ + + preamble_bits = np.tile( + np.array( + [1, 0], + dtype=np.uint8, + ), + PREAMBLE_BIT_COUNT // 2, + ) + + sync_bits = bytes_to_bits( + struct.pack( + ">H", + RADIO_SYNC_WORD, + ) + ) + + marker_bits = np.concatenate( + [ + preamble_bits, + sync_bits, + ] + ) + + marker_symbols = bpsk_modulate( + marker_bits + ) + + return marker_bits, marker_symbols + + +# ============================================================ +# Теоретический BER и идеальная FER +# ============================================================ + +def theoretical_bpsk_ber( + eb_n0_db: float, +) -> float: + """ + Теоретический BER когерентной BPSK в AWGN. + """ + + eb_n0_linear = 10.0 ** ( + eb_n0_db / 10.0 + ) + + return 0.5 * erfc( + sqrt(eb_n0_linear) + ) + + +def ber_to_frame_error_rate( + ber: float, + frame_bit_count: int, +) -> float: + """ + Оценить FER при независимых битовых ошибках. + + FER = 1 - (1 - BER) ** N + """ + + if ber == 0.0: + return 0.0 + + return -expm1( + frame_bit_count + * log1p(-ber) + ) + + +# ============================================================ +# Добавление AWGN по заданному Eb/N0 +# ============================================================ + +def add_awgn_for_eb_n0( + clean_iq: np.ndarray, + signal_energy_per_bit: float, + eb_n0_db: float, + random_generator: np.random.Generator, +) -> np.ndarray: + """ + Добавить комплексный AWGN. + + signal_energy_per_bit рассчитывается по исходному + IQ-радиокадру как: + + сумма |IQ|² / количество передаваемых битов + + Полная комплексная дисперсия шума: + + noise_variance = Eb / (Eb/N0) + """ + + eb_n0_linear = 10.0 ** ( + eb_n0_db / 10.0 + ) + + complex_noise_variance = ( + signal_energy_per_bit + / eb_n0_linear + ) + + component_sigma = sqrt( + complex_noise_variance / 2.0 + ) + + noise = component_sigma * ( + random_generator.standard_normal( + len(clean_iq) + ) + + 1j + * random_generator.standard_normal( + len(clean_iq) + ) + ) + + return clean_iq + noise + + +# ============================================================ +# Корреляционный поиск радиокадра +# ============================================================ + +def find_radio_frame( + matched_iq: np.ndarray, + marker_symbols: np.ndarray, + samples_per_symbol: int, +) -> dict: + """ + Перебрать все возможные фазы символьной дискретизации + и найти максимальную нормированную корреляцию. + """ + + marker_energy = float( + np.sum( + np.abs(marker_symbols) ** 2 + ) + ) + + best_result = None + + for sample_phase in range( + samples_per_symbol + ): + + symbol_samples = matched_iq[ + sample_phase::samples_per_symbol + ] + + if len(symbol_samples) < len( + marker_symbols + ): + continue + + correlation = np.correlate( + symbol_samples, + marker_symbols, + mode="valid", + ) + + window_energy = np.convolve( + np.abs(symbol_samples) ** 2, + np.ones( + len(marker_symbols) + ), + mode="valid", + ) + + normalized_correlation = ( + np.abs(correlation) + / ( + np.sqrt( + window_energy + * marker_energy + ) + + 1e-12 + ) + ) + + start_symbol_index = int( + np.argmax( + normalized_correlation + ) + ) + + score = float( + normalized_correlation[ + start_symbol_index + ] + ) + + if ( + best_result is None + or score > best_result["score"] + ): + best_result = { + "score": score, + "sample_phase": sample_phase, + "start_symbol_index": ( + start_symbol_index + ), + "symbol_samples": ( + symbol_samples + ), + "complex_correlation": ( + correlation[ + start_symbol_index + ] + ), + } + + if best_result is None: + raise RuntimeError( + "Корреляционный поиск не дал результата" + ) + + return best_result + + +# ============================================================ +# Приём одной реализации радиокадра +# ============================================================ + +def receive_one_frame( + received_iq: np.ndarray, + rrc_taps: np.ndarray, + marker_bits: np.ndarray, + marker_symbols: np.ndarray, +) -> dict: + """ + Выполнить полный приём одного радиокадра. + + Возвращает словарь со статусом и диагностикой. + """ + + matched_iq = fftconvolve( + received_iq, + rrc_taps, + mode="full", + ) + + search_result = find_radio_frame( + matched_iq=matched_iq, + marker_symbols=marker_symbols, + samples_per_symbol=SAMPLES_PER_SYMBOL, + ) + + correlation_score = search_result[ + "score" + ] + + if correlation_score < DETECTION_THRESHOLD: + return { + "status": STATUS_DETECTION_FAIL, + "correlation_score": correlation_score, + "marker_bit_errors": None, + } + + symbol_samples = search_result[ + "symbol_samples" + ] + + frame_start_symbol = search_result[ + "start_symbol_index" + ] + + estimated_phase = np.angle( + search_result[ + "complex_correlation" + ] + ) + + corrected_symbols = ( + symbol_samples + * np.exp( + -1j * estimated_phase + ) + ) + + received_bits = bpsk_demodulate( + corrected_symbols + ) + + available_bits = received_bits[ + frame_start_symbol: + ] + + marker_bit_count = len( + marker_bits + ) + + if len(available_bits) < marker_bit_count: + return { + "status": STATUS_HEADER_ERROR, + "correlation_score": correlation_score, + "marker_bit_errors": None, + } + + received_marker_bits = available_bits[ + :marker_bit_count + ] + + marker_bit_errors = int( + np.count_nonzero( + received_marker_bits + != marker_bits + ) + ) + + radio_header_start = ( + PREAMBLE_BIT_COUNT + ) + + radio_header_end = ( + radio_header_start + 32 + ) + + if len(available_bits) < radio_header_end: + return { + "status": STATUS_HEADER_ERROR, + "correlation_score": correlation_score, + "marker_bit_errors": marker_bit_errors, + } + + try: + radio_header = bits_to_bytes( + available_bits[ + radio_header_start: + radio_header_end + ] + ) + + ( + received_radio_sync, + protocol_packet_length, + ) = struct.unpack( + ">HH", + radio_header, + ) + + except (ValueError, struct.error): + return { + "status": STATUS_HEADER_ERROR, + "correlation_score": correlation_score, + "marker_bit_errors": marker_bit_errors, + } + + if received_radio_sync != RADIO_SYNC_WORD: + return { + "status": STATUS_HEADER_ERROR, + "correlation_score": correlation_score, + "marker_bit_errors": marker_bit_errors, + } + + if not ( + 1 + <= protocol_packet_length + <= MAX_PROTOCOL_PACKET_SIZE + ): + return { + "status": STATUS_HEADER_ERROR, + "correlation_score": correlation_score, + "marker_bit_errors": marker_bit_errors, + } + + protocol_packet_start = ( + radio_header_end + ) + + protocol_packet_end = ( + protocol_packet_start + + protocol_packet_length * 8 + ) + + if len(available_bits) < protocol_packet_end: + return { + "status": STATUS_HEADER_ERROR, + "correlation_score": correlation_score, + "marker_bit_errors": marker_bit_errors, + } + + try: + protocol_packet = bits_to_bytes( + available_bits[ + protocol_packet_start: + protocol_packet_end + ] + ) + + except ValueError: + return { + "status": STATUS_PACKET_ERROR, + "correlation_score": correlation_score, + "marker_bit_errors": marker_bit_errors, + } + + try: + parsed_packet = parse_packet( + protocol_packet + ) + + except CRCError: + return { + "status": STATUS_CRC_ERROR, + "correlation_score": correlation_score, + "marker_bit_errors": marker_bit_errors, + } + + except PacketError: + return { + "status": STATUS_PACKET_ERROR, + "correlation_score": correlation_score, + "marker_bit_errors": marker_bit_errors, + } + + try: + restored_message = ( + parsed_packet.payload.decode( + "utf-8" + ) + ) + + except UnicodeDecodeError: + return { + "status": STATUS_PACKET_ERROR, + "correlation_score": correlation_score, + "marker_bit_errors": marker_bit_errors, + } + + if ( + parsed_packet.message_type + != MESSAGE_TYPE_TEXT + or parsed_packet.sequence_number + != EXPECTED_SEQUENCE_NUMBER + or restored_message + != EXPECTED_MESSAGE + ): + return { + "status": STATUS_PACKET_ERROR, + "correlation_score": correlation_score, + "marker_bit_errors": marker_bit_errors, + } + + return { + "status": STATUS_SUCCESS, + "correlation_score": correlation_score, + "marker_bit_errors": marker_bit_errors, + } + + +# ============================================================ +# Загрузка IQ из Lab018 +# ============================================================ + +if not INPUT_IQ_PATH.exists(): + raise FileNotFoundError( + f"Не найден файл: {INPUT_IQ_PATH}. " + "Сначала необходимо выполнить Lab018." + ) + +transmitted_iq = np.load( + INPUT_IQ_PATH +) + +if transmitted_iq.ndim != 1: + raise ValueError( + "IQ-массив должен быть одномерным" + ) + +if not np.iscomplexobj( + transmitted_iq +): + raise ValueError( + "Входной массив должен быть комплексным" + ) + +transmitted_iq = transmitted_iq.astype( + np.complex128 +) + + +# ============================================================ +# Подготовка приёмника +# ============================================================ + +rrc_taps = root_raised_cosine_taps( + rolloff=RRC_ROLLOFF, + samples_per_symbol=SAMPLES_PER_SYMBOL, + span_symbols=RRC_SPAN_SYMBOLS, +) + +marker_bits, marker_symbols = ( + build_frame_marker() +) + +signal_energy_per_bit = ( + np.sum( + np.abs(transmitted_iq) ** 2 + ) + / RADIO_FRAME_BIT_COUNT +) + + +# ============================================================ +# Основной эксперимент +# ============================================================ + +results = [] + +for eb_n0_index, eb_n0_db in enumerate( + EB_N0_VALUES_DB +): + + counters = { + STATUS_SUCCESS: 0, + STATUS_DETECTION_FAIL: 0, + STATUS_HEADER_ERROR: 0, + STATUS_CRC_ERROR: 0, + STATUS_PACKET_ERROR: 0, + } + + correlation_scores = [] + marker_error_counts = [] + + random_generator = np.random.default_rng( + RANDOM_SEED + + 1000 * eb_n0_index + ) + + for trial_index in range( + TRIALS_PER_EB_N0 + ): + + random_delay = int( + random_generator.integers( + 0, + MAX_RANDOM_DELAY_SAMPLES + 1, + ) + ) + + random_phase = ( + random_generator.uniform( + -np.pi, + np.pi, + ) + ) + + phase_rotated_iq = ( + transmitted_iq + * np.exp( + 1j * random_phase + ) + ) + + # Добавляем нули до и после кадра. + # После внесения AWGN эти участки превращаются + # в обычный шумовой фон. + clean_received_iq = np.concatenate( + [ + np.zeros( + random_delay, + dtype=np.complex128, + ), + phase_rotated_iq, + np.zeros( + 2 * SAMPLES_PER_SYMBOL, + dtype=np.complex128, + ), + ] + ) + + noisy_received_iq = add_awgn_for_eb_n0( + clean_iq=clean_received_iq, + signal_energy_per_bit=( + signal_energy_per_bit + ), + eb_n0_db=eb_n0_db, + random_generator=random_generator, + ) + + attempt_result = receive_one_frame( + received_iq=noisy_received_iq, + rrc_taps=rrc_taps, + marker_bits=marker_bits, + marker_symbols=marker_symbols, + ) + + status = attempt_result[ + "status" + ] + + counters[status] += 1 + + correlation_scores.append( + attempt_result[ + "correlation_score" + ] + ) + + marker_bit_errors = attempt_result[ + "marker_bit_errors" + ] + + if marker_bit_errors is not None: + marker_error_counts.append( + marker_bit_errors + ) + + success_count = counters[ + STATUS_SUCCESS + ] + + frame_error_count = ( + TRIALS_PER_EB_N0 + - success_count + ) + + experimental_fer = ( + frame_error_count + / TRIALS_PER_EB_N0 + ) + + theoretical_ber = theoretical_bpsk_ber( + eb_n0_db + ) + + ideal_fer = ber_to_frame_error_rate( + ber=theoretical_ber, + frame_bit_count=( + RADIO_FRAME_BIT_COUNT + ), + ) + + mean_correlation = float( + np.mean( + correlation_scores + ) + ) + + if marker_error_counts: + mean_marker_bit_errors = float( + np.mean( + marker_error_counts + ) + ) + else: + mean_marker_bit_errors = float( + "nan" + ) + + results.append( + { + "eb_n0_db": eb_n0_db, + "trials": TRIALS_PER_EB_N0, + "success_count": success_count, + "detection_fail_count": counters[ + STATUS_DETECTION_FAIL + ], + "header_error_count": counters[ + STATUS_HEADER_ERROR + ], + "crc_error_count": counters[ + STATUS_CRC_ERROR + ], + "packet_error_count": counters[ + STATUS_PACKET_ERROR + ], + "experimental_fer": experimental_fer, + "theoretical_ber": theoretical_ber, + "ideal_fer": ideal_fer, + "mean_correlation": mean_correlation, + "mean_marker_bit_errors": ( + mean_marker_bit_errors + ), + } + ) + + +# ============================================================ +# Вывод таблицы +# ============================================================ + +print( + "=== Lab020. FER полного BPSK-радиокадра ===" +) + +print("\nКоличество попыток на точку:") + +print(TRIALS_PER_EB_N0) + +print("\nРезультаты:") + +print( + f"{'Eb/N0':>9}" + f"{'Успех':>9}" + f"{'Нет марк.':>11}" + f"{'Загол.':>9}" + f"{'CRC':>7}" + f"{'Пакет':>8}" + f"{'FER':>10}" + f"{'Идеал FER':>13}" + f"{'Коррел.':>11}" +) + +print("-" * 87) + +for result in results: + + print( + f"{result['eb_n0_db']:>6.1f} дБ" + f"{result['success_count']:>9}" + f"{result['detection_fail_count']:>11}" + f"{result['header_error_count']:>9}" + f"{result['crc_error_count']:>7}" + f"{result['packet_error_count']:>8}" + f"{result['experimental_fer']:>10.3f}" + f"{result['ideal_fer']:>13.3f}" + f"{result['mean_correlation']:>11.3f}" + ) + + +# ============================================================ +# Сохранение CSV +# ============================================================ + +with CSV_PATH.open( + "w", + newline="", + encoding="utf-8-sig", +) as csv_file: + + writer = DictWriter( + csv_file, + fieldnames=list( + results[0].keys() + ), + ) + + writer.writeheader() + writer.writerows(results) + + +# ============================================================ +# Подготовка данных графика +# ============================================================ + +eb_n0_values = np.array( + [ + result["eb_n0_db"] + for result in results + ], + dtype=np.float64, +) + +experimental_fer_values = np.array( + [ + result["experimental_fer"] + for result in results + ], + dtype=np.float64, +) + +ideal_fer_values = np.array( + [ + result["ideal_fer"] + for result in results + ], + dtype=np.float64, +) + +measurement_floor = ( + 0.5 / TRIALS_PER_EB_N0 +) + +experimental_fer_for_plot = np.maximum( + experimental_fer_values, + measurement_floor, +) + + +# ============================================================ +# Графики +# ============================================================ + +figure, axes = plt.subplots( + 2, + 1, + figsize=(11, 10), +) + + +# ------------------------------------------------------------ +# 1. FER +# ------------------------------------------------------------ + +axes[0].semilogy( + eb_n0_values, + ideal_fer_values, + marker="o", + label=( + "Идеальная FER по BER " + "при идеальной синхронизации" + ), +) + +axes[0].semilogy( + eb_n0_values, + experimental_fer_for_plot, + marker="s", + linestyle="--", + label="Экспериментальная FER приёмника", +) + +axes[0].axhline( + measurement_floor, + linestyle=":", + label=( + "Предел измерения " + f"{measurement_floor:.3f}" + ), +) + +axes[0].set_xlabel( + "Eb/N0, дБ" +) + +axes[0].set_ylabel( + "Frame Error Rate" +) + +axes[0].set_title( + "Устойчивость полного BPSK-радиокадра" +) + +axes[0].grid( + True, + which="both", +) + +axes[0].legend() + + +# ------------------------------------------------------------ +# 2. Классификация результатов +# ------------------------------------------------------------ + +success_rates = [ + result["success_count"] + / TRIALS_PER_EB_N0 + for result in results +] + +detection_fail_rates = [ + result["detection_fail_count"] + / TRIALS_PER_EB_N0 + for result in results +] + +header_error_rates = [ + result["header_error_count"] + / TRIALS_PER_EB_N0 + for result in results +] + +crc_error_rates = [ + result["crc_error_count"] + / TRIALS_PER_EB_N0 + for result in results +] + +packet_error_rates = [ + result["packet_error_count"] + / TRIALS_PER_EB_N0 + for result in results +] + +axes[1].plot( + eb_n0_values, + success_rates, + marker="o", + label="Успешно", +) + +axes[1].plot( + eb_n0_values, + detection_fail_rates, + marker="o", + label="Маркер не обнаружен", +) + +axes[1].plot( + eb_n0_values, + header_error_rates, + marker="o", + label="Ошибка радиозаголовка", +) + +axes[1].plot( + eb_n0_values, + crc_error_rates, + marker="o", + label="Ошибка CRC", +) + +axes[1].plot( + eb_n0_values, + packet_error_rates, + marker="o", + label="Ошибка структуры пакета", +) + +axes[1].set_xlabel( + "Eb/N0, дБ" +) + +axes[1].set_ylabel( + "Доля попыток" +) + +axes[1].set_ylim( + -0.03, + 1.03, +) + +axes[1].set_title( + "Причины потери радиокадров" +) + +axes[1].grid( + True +) + +axes[1].legend() + + +figure.tight_layout() + +figure.savefig( + GRAPH_PATH, + dpi=160, +) + +plt.close( + figure +) + + +# ============================================================ +# Текстовый отчёт +# ============================================================ + +report_lines = [ + "Lab020. Full BPSK frame error rate", + "", + ( + "Trials per Eb/N0: " + f"{TRIALS_PER_EB_N0}" + ), + ( + "Detection threshold: " + f"{DETECTION_THRESHOLD:.3f}" + ), + ( + "Frame bit count: " + f"{RADIO_FRAME_BIT_COUNT}" + ), + "", +] + +for result in results: + + report_lines.extend( + [ + f"Eb/N0: {result['eb_n0_db']:.1f} dB", + ( + " Success: " + f"{result['success_count']}" + ), + ( + " Detection fail: " + f"{result['detection_fail_count']}" + ), + ( + " Header error: " + f"{result['header_error_count']}" + ), + ( + " CRC error: " + f"{result['crc_error_count']}" + ), + ( + " Packet error: " + f"{result['packet_error_count']}" + ), + ( + " Experimental FER: " + f"{result['experimental_fer']:.6f}" + ), + ( + " Ideal FER: " + f"{result['ideal_fer']:.6f}" + ), + "", + ] + ) + +REPORT_PATH.write_text( + "\n".join( + report_lines + ), + encoding="utf-8", +) + + +# ============================================================ +# Автоматические проверки +# ============================================================ + +result_at_4_db = next( + result + for result in results + if result["eb_n0_db"] == 4.0 +) + +result_at_12_db = next( + result + for result in results + if result["eb_n0_db"] == 12.0 +) + +assert sum( + [ + result[ + "success_count" + ], + result[ + "detection_fail_count" + ], + result[ + "header_error_count" + ], + result[ + "crc_error_count" + ], + result[ + "packet_error_count" + ], + ] +) == TRIALS_PER_EB_N0 + +assert ( + result_at_12_db["success_count"] + > result_at_4_db["success_count"] +) + +assert ( + result_at_12_db["experimental_fer"] + < result_at_4_db["experimental_fer"] +) + +assert CSV_PATH.exists() +assert GRAPH_PATH.exists() +assert REPORT_PATH.exists() + + +print("\nCSV:") + +print(CSV_PATH) + +print("\nГрафик:") + +print(GRAPH_PATH) + +print("\nОтчёт:") + +print(REPORT_PATH) + +print( + "\nПроверка пройдена: " + "измерена FER полного BPSK-радиокадра." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab021_frequency_offset_correction.py b/Projects/SDR_Rover/tests/lab021_frequency_offset_correction.py new file mode 100644 index 0000000..82b7578 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab021_frequency_offset_correction.py @@ -0,0 +1,1483 @@ +""" +Lab021. Оценка и компенсация частотного рассогласования BPSK. + +Программа: + +1. Загружает IQ-радиокадр из Lab018. +2. Добавляет постоянный фазовый поворот. +3. Добавляет заданное частотное рассогласование. +4. Добавляет неизвестную задержку. +5. Выполняет согласованную RRC-фильтрацию. +6. Ищет PREAMBLE + RADIO SYNC. +7. По известному маркеру оценивает: + - начало кадра; + - фазу символьной дискретизации; + - начальный фазовый поворот; + - частотную ошибку. +8. Сравнивает приём: + - только с постоянной фазовой коррекцией; + - с фазовой и частотной коррекцией. +9. Восстанавливает внутренний пакет и проверяет CRC. + +Шум в этой лабораторной не добавляется. +Изучается только влияние частотной ошибки. +""" + +from pathlib import Path +import struct + +import matplotlib.pyplot as plt +import numpy as np +from numpy.lib.stride_tricks import sliding_window_view +from scipy.signal import fftconvolve + +from protocol.packet import ( + CRCError, + MESSAGE_TYPE_TEXT, + PacketError, + parse_packet, +) + + +# ============================================================ +# Параметры радиокадра +# ============================================================ + +RADIO_SYNC_WORD = 0xD391 + +PREAMBLE_BIT_COUNT = 64 + +SAMPLES_PER_SYMBOL = 32 + +SYMBOL_RATE = 20_000 + +SAMPLE_RATE = ( + SYMBOL_RATE + * SAMPLES_PER_SYMBOL +) + +RRC_ROLLOFF = 0.35 +RRC_SPAN_SYMBOLS = 10 + + +# ============================================================ +# Контрольные данные +# ============================================================ + +EXPECTED_MESSAGE = "ПРИВЕТ SDR" +EXPECTED_SEQUENCE_NUMBER = 18 + + +# ============================================================ +# Искусственные искажения +# ============================================================ + +TEST_SAMPLE_DELAY = 11 + +TEST_PHASE_OFFSET_DEGREES = 37.0 + +FREQUENCY_OFFSETS_HZ = [ + 0.0, + 10.0, + 25.0, + 50.0, + 100.0, + 250.0, + 500.0, + 1000.0, +] + + +# ============================================================ +# Пути +# ============================================================ + +INPUT_IQ_PATH = Path( + "data/processed/lab018/" + "lab018_bpsk_tx_iq.npy" +) + +OUTPUT_DIRECTORY = Path( + "data/processed/lab021" +) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + +GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab021_frequency_offset.png" +) + +REPORT_PATH = ( + OUTPUT_DIRECTORY + / "lab021_frequency_offset_report.txt" +) + + +# ============================================================ +# Статусы приёма +# ============================================================ + +STATUS_SUCCESS = "SUCCESS" +STATUS_HEADER_ERROR = "HEADER ERROR" +STATUS_CRC_ERROR = "CRC ERROR" +STATUS_PACKET_ERROR = "PACKET ERROR" + + +# ============================================================ +# Bytes и bits +# ============================================================ + +def bytes_to_bits( + data: bytes, +) -> np.ndarray: + """ + Преобразовать bytes в одномерный массив битов. + """ + + if not isinstance(data, bytes): + raise TypeError( + "data должен иметь тип bytes" + ) + + return np.unpackbits( + np.frombuffer( + data, + dtype=np.uint8, + ) + ) + + +def bits_to_bytes( + bits: np.ndarray, +) -> bytes: + """ + Упаковать отдельные биты обратно в bytes. + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + if bits.ndim != 1: + raise ValueError( + "bits должен быть одномерным массивом" + ) + + if len(bits) % 8 != 0: + raise ValueError( + "Количество битов должно быть кратно восьми" + ) + + if not np.all( + (bits == 0) | (bits == 1) + ): + raise ValueError( + "bits должен содержать только 0 и 1" + ) + + return np.packbits( + bits + ).tobytes() + + +# ============================================================ +# BPSK +# ============================================================ + +def bpsk_modulate( + bits: np.ndarray, +) -> np.ndarray: + """ + Преобразовать биты в BPSK-символы. + + 0 → -1 + 1 → +1 + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + symbols = ( + 2.0 + * bits.astype(np.float64) + - 1.0 + ) + + return symbols.astype( + np.complex128 + ) + + +def bpsk_demodulate( + symbols: np.ndarray, +) -> np.ndarray: + """ + Демодулировать BPSK по знаку компоненты I. + """ + + return ( + symbols.real >= 0.0 + ).astype(np.uint8) + + +# ============================================================ +# Root Raised Cosine +# ============================================================ + +def root_raised_cosine_taps( + rolloff: float, + samples_per_symbol: int, + span_symbols: int, +) -> np.ndarray: + """ + Рассчитать коэффициенты RRC-фильтра. + """ + + if not 0.0 < rolloff <= 1.0: + raise ValueError( + "rolloff должен находиться в диапазоне 0...1" + ) + + if samples_per_symbol <= 0: + raise ValueError( + "samples_per_symbol должен быть положительным" + ) + + if span_symbols <= 0: + raise ValueError( + "span_symbols должен быть положительным" + ) + + if span_symbols % 2 != 0: + raise ValueError( + "span_symbols должен быть чётным" + ) + + half_sample_count = ( + span_symbols + * samples_per_symbol + // 2 + ) + + sample_indexes = np.arange( + -half_sample_count, + half_sample_count + 1, + dtype=np.float64, + ) + + time_values = ( + sample_indexes + / samples_per_symbol + ) + + taps = np.zeros_like( + time_values + ) + + beta = rolloff + + for index, time_value in enumerate( + time_values + ): + + if np.isclose( + time_value, + 0.0, + ): + taps[index] = ( + 1.0 + - beta + + 4.0 * beta / np.pi + ) + + continue + + if np.isclose( + abs(time_value), + 1.0 / (4.0 * beta), + ): + taps[index] = ( + beta + / np.sqrt(2.0) + * ( + ( + 1.0 + + 2.0 / np.pi + ) + * np.sin( + np.pi + / (4.0 * beta) + ) + + ( + 1.0 + - 2.0 / np.pi + ) + * np.cos( + np.pi + / (4.0 * beta) + ) + ) + ) + + continue + + numerator = ( + np.sin( + np.pi + * time_value + * (1.0 - beta) + ) + + ( + 4.0 + * beta + * time_value + * np.cos( + np.pi + * time_value + * (1.0 + beta) + ) + ) + ) + + denominator = ( + np.pi + * time_value + * ( + 1.0 + - ( + 4.0 + * beta + * time_value + ) ** 2 + ) + ) + + taps[index] = ( + numerator + / denominator + ) + + taps /= np.sqrt( + np.sum( + taps ** 2 + ) + ) + + return taps + + +# ============================================================ +# Маркер радиокадра +# ============================================================ + +def build_frame_marker( +) -> tuple[np.ndarray, np.ndarray]: + """ + Сформировать PREAMBLE + RADIO SYNC. + """ + + preamble_bits = np.tile( + np.array( + [1, 0], + dtype=np.uint8, + ), + PREAMBLE_BIT_COUNT // 2, + ) + + sync_bits = bytes_to_bits( + struct.pack( + ">H", + RADIO_SYNC_WORD, + ) + ) + + marker_bits = np.concatenate( + [ + preamble_bits, + sync_bits, + ] + ) + + marker_symbols = bpsk_modulate( + marker_bits + ) + + return marker_bits, marker_symbols + + +# ============================================================ +# Добавление частотного смещения +# ============================================================ + +def apply_frequency_offset( + iq_samples: np.ndarray, + frequency_offset_hz: float, + sample_rate: float, + phase_offset_degrees: float, +) -> np.ndarray: + """ + Добавить постоянную фазу и частотное рассогласование. + + В каждом следующем сэмпле фаза увеличивается на: + + 2π · Δf / Fs + """ + + sample_indexes = np.arange( + len(iq_samples), + dtype=np.float64, + ) + + initial_phase_radians = np.deg2rad( + phase_offset_degrees + ) + + phase_values = ( + initial_phase_radians + + 2.0 + * np.pi + * frequency_offset_hz + * sample_indexes + / sample_rate + ) + + return ( + iq_samples + * np.exp( + 1j * phase_values + ) + ) + + +# ============================================================ +# Поиск маркера и оценка CFO +# ============================================================ + +def find_frame_and_frequency_offset( + matched_iq: np.ndarray, + marker_symbols: np.ndarray, + samples_per_symbol: int, + symbol_rate: float, +) -> dict: + """ + Найти радиокадр и оценить частотную ошибку. + + Для каждого возможного положения маркера: + + 1. Умножаем принятые символы на известные + символы маркера. + + Это удаляет BPSK-модуляцию: + + received × marker + ≈ exp(j · phase) + + 2. Измеряем среднее изменение фазы + между соседними символами. + + 3. Компенсируем полученный наклон фазы. + + 4. Рассчитываем когерентную корреляцию. + """ + + marker_length = len( + marker_symbols + ) + + marker_energy = float( + np.sum( + np.abs(marker_symbols) ** 2 + ) + ) + + marker_indexes = np.arange( + marker_length, + dtype=np.float64, + ) + + best_result = None + + for sample_phase in range( + samples_per_symbol + ): + + symbol_samples = matched_iq[ + sample_phase::samples_per_symbol + ] + + if len(symbol_samples) < marker_length: + continue + + windows = sliding_window_view( + symbol_samples, + marker_length, + ) + + # Удаление известных знаков BPSK-маркера. + despread_windows = ( + windows + * marker_symbols[ + np.newaxis, + : + ] + ) + + # Изменение фазы между соседними символами. + adjacent_products = ( + despread_windows[:, 1:] + * np.conj( + despread_windows[:, :-1] + ) + ) + + phase_increments = np.angle( + np.sum( + adjacent_products, + axis=1, + ) + ) + + # Компенсация предполагаемой частотной ошибки. + frequency_compensation = np.exp( + -1j + * phase_increments[:, np.newaxis] + * marker_indexes[np.newaxis, :] + ) + + compensated_windows = ( + despread_windows + * frequency_compensation + ) + + coherent_sums = np.sum( + compensated_windows, + axis=1, + ) + + window_energy = np.sum( + np.abs(windows) ** 2, + axis=1, + ) + + normalized_scores = ( + np.abs(coherent_sums) + / ( + np.sqrt( + window_energy + * marker_energy + ) + + 1e-12 + ) + ) + + best_start_for_phase = int( + np.argmax( + normalized_scores + ) + ) + + best_score_for_phase = float( + normalized_scores[ + best_start_for_phase + ] + ) + + if ( + best_result is None + or best_score_for_phase + > best_result["score"] + ): + + selected_phase_increment = float( + phase_increments[ + best_start_for_phase + ] + ) + + selected_coherent_sum = ( + coherent_sums[ + best_start_for_phase + ] + ) + + estimated_frequency_offset_hz = ( + selected_phase_increment + * symbol_rate + / (2.0 * np.pi) + ) + + estimated_initial_phase = np.angle( + selected_coherent_sum + ) + + best_result = { + "score": best_score_for_phase, + "sample_phase": sample_phase, + "start_symbol_index": ( + best_start_for_phase + ), + "symbol_samples": symbol_samples, + "phase_increment": ( + selected_phase_increment + ), + "frequency_offset_hz": ( + estimated_frequency_offset_hz + ), + "initial_phase": ( + estimated_initial_phase + ), + } + + if best_result is None: + raise RuntimeError( + "Не удалось обнаружить радиокадр" + ) + + return best_result + + +# ============================================================ +# Восстановление внутреннего пакета +# ============================================================ + +def decode_radio_frame( + corrected_symbols: np.ndarray, + frame_start_symbol: int, + marker_bits: np.ndarray, +) -> dict: + """ + Демодулировать радиокадр и проверить внутренний пакет. + """ + + received_bits = bpsk_demodulate( + corrected_symbols + ) + + available_bits = received_bits[ + frame_start_symbol: + ] + + marker_bit_count = len( + marker_bits + ) + + if len(available_bits) < marker_bit_count: + return { + "status": STATUS_HEADER_ERROR, + "marker_errors": None, + "message": None, + } + + received_marker_bits = available_bits[ + :marker_bit_count + ] + + marker_errors = int( + np.count_nonzero( + received_marker_bits + != marker_bits + ) + ) + + radio_header_start = ( + PREAMBLE_BIT_COUNT + ) + + radio_header_end = ( + radio_header_start + 32 + ) + + if len(available_bits) < radio_header_end: + return { + "status": STATUS_HEADER_ERROR, + "marker_errors": marker_errors, + "message": None, + } + + try: + radio_header = bits_to_bytes( + available_bits[ + radio_header_start: + radio_header_end + ] + ) + + ( + received_sync, + protocol_packet_length, + ) = struct.unpack( + ">HH", + radio_header, + ) + + except (ValueError, struct.error): + return { + "status": STATUS_HEADER_ERROR, + "marker_errors": marker_errors, + "message": None, + } + + if received_sync != RADIO_SYNC_WORD: + return { + "status": STATUS_HEADER_ERROR, + "marker_errors": marker_errors, + "message": None, + } + + if not 1 <= protocol_packet_length <= 4096: + return { + "status": STATUS_HEADER_ERROR, + "marker_errors": marker_errors, + "message": None, + } + + protocol_packet_start = ( + radio_header_end + ) + + protocol_packet_end = ( + protocol_packet_start + + protocol_packet_length * 8 + ) + + if len(available_bits) < protocol_packet_end: + return { + "status": STATUS_HEADER_ERROR, + "marker_errors": marker_errors, + "message": None, + } + + try: + protocol_packet = bits_to_bytes( + available_bits[ + protocol_packet_start: + protocol_packet_end + ] + ) + + parsed_packet = parse_packet( + protocol_packet + ) + + except CRCError: + return { + "status": STATUS_CRC_ERROR, + "marker_errors": marker_errors, + "message": None, + } + + except (PacketError, ValueError): + return { + "status": STATUS_PACKET_ERROR, + "marker_errors": marker_errors, + "message": None, + } + + try: + restored_message = ( + parsed_packet.payload.decode( + "utf-8" + ) + ) + + except UnicodeDecodeError: + return { + "status": STATUS_PACKET_ERROR, + "marker_errors": marker_errors, + "message": None, + } + + if ( + parsed_packet.message_type + != MESSAGE_TYPE_TEXT + or parsed_packet.sequence_number + != EXPECTED_SEQUENCE_NUMBER + or restored_message + != EXPECTED_MESSAGE + ): + return { + "status": STATUS_PACKET_ERROR, + "marker_errors": marker_errors, + "message": restored_message, + } + + return { + "status": STATUS_SUCCESS, + "marker_errors": marker_errors, + "message": restored_message, + } + + +# ============================================================ +# Загрузка IQ +# ============================================================ + +if not INPUT_IQ_PATH.exists(): + raise FileNotFoundError( + f"Не найден файл: {INPUT_IQ_PATH}. " + "Сначала необходимо выполнить Lab018." + ) + +transmitted_iq = np.load( + INPUT_IQ_PATH +).astype( + np.complex128 +) + +if transmitted_iq.ndim != 1: + raise ValueError( + "IQ-массив должен быть одномерным" + ) + + +# ============================================================ +# Подготовка приёмника +# ============================================================ + +rrc_taps = root_raised_cosine_taps( + rolloff=RRC_ROLLOFF, + samples_per_symbol=SAMPLES_PER_SYMBOL, + span_symbols=RRC_SPAN_SYMBOLS, +) + +marker_bits, marker_symbols = ( + build_frame_marker() +) + + +# ============================================================ +# Эксперимент +# ============================================================ + +results = [] + +worst_offset_diagnostic = None + +for frequency_offset_hz in FREQUENCY_OFFSETS_HZ: + + impaired_iq = apply_frequency_offset( + iq_samples=transmitted_iq, + frequency_offset_hz=frequency_offset_hz, + sample_rate=SAMPLE_RATE, + phase_offset_degrees=( + TEST_PHASE_OFFSET_DEGREES + ), + ) + + received_iq = np.concatenate( + [ + np.zeros( + TEST_SAMPLE_DELAY, + dtype=np.complex128, + ), + impaired_iq, + ] + ) + + matched_iq = fftconvolve( + received_iq, + rrc_taps, + mode="full", + ) + + search_result = ( + find_frame_and_frequency_offset( + matched_iq=matched_iq, + marker_symbols=marker_symbols, + samples_per_symbol=( + SAMPLES_PER_SYMBOL + ), + symbol_rate=SYMBOL_RATE, + ) + ) + + symbol_samples = search_result[ + "symbol_samples" + ] + + frame_start_symbol = search_result[ + "start_symbol_index" + ] + + estimated_frequency_hz = search_result[ + "frequency_offset_hz" + ] + + estimated_initial_phase = search_result[ + "initial_phase" + ] + + estimated_phase_increment = search_result[ + "phase_increment" + ] + + symbol_indexes = np.arange( + len(symbol_samples), + dtype=np.float64, + ) + + relative_symbol_indexes = ( + symbol_indexes + - frame_start_symbol + ) + + # -------------------------------------------------------- + # Приём без компенсации частотной ошибки + # -------------------------------------------------------- + + constant_phase_corrected = ( + symbol_samples + * np.exp( + -1j + * estimated_initial_phase + ) + ) + + result_without_cfo = decode_radio_frame( + corrected_symbols=( + constant_phase_corrected + ), + frame_start_symbol=( + frame_start_symbol + ), + marker_bits=marker_bits, + ) + + # -------------------------------------------------------- + # Полная фазовая и частотная коррекция + # -------------------------------------------------------- + + phase_model = ( + estimated_initial_phase + + estimated_phase_increment + * relative_symbol_indexes + ) + + frequency_corrected = ( + symbol_samples + * np.exp( + -1j * phase_model + ) + ) + + result_with_cfo = decode_radio_frame( + corrected_symbols=( + frequency_corrected + ), + frame_start_symbol=( + frame_start_symbol + ), + marker_bits=marker_bits, + ) + + frequency_error_hz = ( + estimated_frequency_hz + - frequency_offset_hz + ) + + results.append( + { + "true_frequency_hz": ( + frequency_offset_hz + ), + "estimated_frequency_hz": ( + estimated_frequency_hz + ), + "frequency_error_hz": ( + frequency_error_hz + ), + "correlation_score": ( + search_result["score"] + ), + "sample_phase": ( + search_result["sample_phase"] + ), + "frame_start_symbol": ( + frame_start_symbol + ), + "marker_errors_without": ( + result_without_cfo[ + "marker_errors" + ] + ), + "status_without": ( + result_without_cfo["status"] + ), + "marker_errors_with": ( + result_with_cfo[ + "marker_errors" + ] + ), + "status_with": ( + result_with_cfo["status"] + ), + } + ) + + if ( + frequency_offset_hz + == max(FREQUENCY_OFFSETS_HZ) + ): + marker_start = frame_start_symbol + marker_end = ( + marker_start + + len(marker_symbols) + ) + + marker_before = ( + symbol_samples[ + marker_start: + marker_end + ] + * marker_symbols + ) + + marker_after = ( + frequency_corrected[ + marker_start: + marker_end + ] + * marker_symbols + ) + + worst_offset_diagnostic = { + "before": marker_before, + "after": marker_after, + } + + +# ============================================================ +# Вывод +# ============================================================ + +print( + "=== Lab021. Компенсация частотной ошибки ===" +) + +print("\nПараметры:") + +print( + "Символьная скорость:", + SYMBOL_RATE, + "символов/с", +) + +print( + "Частота дискретизации:", + SAMPLE_RATE, + "сэмплов/с", +) + +print( + "Постоянный фазовый поворот:", + TEST_PHASE_OFFSET_DEGREES, + "градусов", +) + +print( + "Задержка:", + TEST_SAMPLE_DELAY, + "сэмплов", +) + + +print("\nРезультаты:") + +print( + f"{'Δf задано':>12}" + f"{'Δf оценено':>14}" + f"{'Ошибка':>12}" + f"{'Коррел.':>11}" + f"{'Без CFO':>16}" + f"{'С CFO':>16}" +) + +print("-" * 81) + +for result in results: + + print( + f"{result['true_frequency_hz']:>9.1f} Гц" + f"{result['estimated_frequency_hz']:>11.2f} Гц" + f"{result['frequency_error_hz']:>9.2f} Гц" + f"{result['correlation_score']:>11.4f}" + f"{result['status_without']:>16}" + f"{result['status_with']:>16}" + ) + + +# ============================================================ +# Графики +# ============================================================ + +true_frequencies = np.array( + [ + result["true_frequency_hz"] + for result in results + ], + dtype=np.float64, +) + +estimated_frequencies = np.array( + [ + result["estimated_frequency_hz"] + for result in results + ], + dtype=np.float64, +) + +marker_errors_without = np.array( + [ + ( + result["marker_errors_without"] + if result["marker_errors_without"] + is not None + else len(marker_bits) + ) + for result in results + ], + dtype=np.float64, +) + +marker_errors_with = np.array( + [ + ( + result["marker_errors_with"] + if result["marker_errors_with"] + is not None + else len(marker_bits) + ) + for result in results + ], + dtype=np.float64, +) + +success_without = np.array( + [ + result["status_without"] + == STATUS_SUCCESS + for result in results + ], + dtype=np.int32, +) + +success_with = np.array( + [ + result["status_with"] + == STATUS_SUCCESS + for result in results + ], + dtype=np.int32, +) + + +figure, axes = plt.subplots( + 2, + 2, + figsize=(13, 10), +) + + +# ------------------------------------------------------------ +# 1. Оценка частоты +# ------------------------------------------------------------ + +axes[0, 0].plot( + true_frequencies, + true_frequencies, + linestyle="--", + label="Идеальная оценка", +) + +axes[0, 0].plot( + true_frequencies, + estimated_frequencies, + marker="o", + label="Оценка приёмника", +) + +axes[0, 0].set_xlabel( + "Заданное смещение, Гц" +) + +axes[0, 0].set_ylabel( + "Оценённое смещение, Гц" +) + +axes[0, 0].set_title( + "Оценка частотного рассогласования" +) + +axes[0, 0].grid( + True +) + +axes[0, 0].legend() + + +# ------------------------------------------------------------ +# 2. Ошибки маркера +# ------------------------------------------------------------ + +axes[0, 1].plot( + true_frequencies, + marker_errors_without, + marker="o", + label="Без компенсации CFO", +) + +axes[0, 1].plot( + true_frequencies, + marker_errors_with, + marker="s", + label="После компенсации CFO", +) + +axes[0, 1].set_xlabel( + "Частотное смещение, Гц" +) + +axes[0, 1].set_ylabel( + "Ошибки PREAMBLE + SYNC" +) + +axes[0, 1].set_title( + "Ошибки известного маркера" +) + +axes[0, 1].grid( + True +) + +axes[0, 1].legend() + + +# ------------------------------------------------------------ +# 3. Успешный приём кадра +# ------------------------------------------------------------ + +axes[1, 0].plot( + true_frequencies, + success_without, + marker="o", + label="Без компенсации CFO", +) + +axes[1, 0].plot( + true_frequencies, + success_with, + marker="s", + label="После компенсации CFO", +) + +axes[1, 0].set_yticks( + [0, 1], + [ + "Ошибка", + "SUCCESS", + ], +) + +axes[1, 0].set_xlabel( + "Частотное смещение, Гц" +) + +axes[1, 0].set_ylabel( + "Результат приёма" +) + +axes[1, 0].set_title( + "Восстановление полного пакета" +) + +axes[1, 0].grid( + True +) + +axes[1, 0].legend() + + +# ------------------------------------------------------------ +# 4. Фаза маркера при максимальном CFO +# ------------------------------------------------------------ + +if worst_offset_diagnostic is None: + raise RuntimeError( + "Не сохранена диагностика максимального CFO" + ) + +phase_before = np.unwrap( + np.angle( + worst_offset_diagnostic["before"] + ) +) + +phase_after = np.unwrap( + np.angle( + worst_offset_diagnostic["after"] + ) +) + +axes[1, 1].plot( + phase_before, + label="До компенсации", +) + +axes[1, 1].plot( + phase_after, + label="После компенсации", +) + +axes[1, 1].set_xlabel( + "Номер символа маркера" +) + +axes[1, 1].set_ylabel( + "Развёрнутая фаза, рад" +) + +axes[1, 1].set_title( + "Фаза при Δf = " + f"{max(FREQUENCY_OFFSETS_HZ):.0f} Гц" +) + +axes[1, 1].grid( + True +) + +axes[1, 1].legend() + + +figure.tight_layout() + +figure.savefig( + GRAPH_PATH, + dpi=160, +) + +plt.close( + figure +) + + +# ============================================================ +# Отчёт +# ============================================================ + +report_lines = [ + "Lab021. Frequency offset correction", + "", + f"Symbol rate: {SYMBOL_RATE}", + f"Sample rate: {SAMPLE_RATE}", + ( + "Phase offset: " + f"{TEST_PHASE_OFFSET_DEGREES:.2f} deg" + ), + ( + "Sample delay: " + f"{TEST_SAMPLE_DELAY}" + ), + "", +] + +for result in results: + + report_lines.extend( + [ + ( + "True frequency offset: " + f"{result['true_frequency_hz']:.2f} Hz" + ), + ( + "Estimated frequency offset: " + f"{result['estimated_frequency_hz']:.4f} Hz" + ), + ( + "Frequency estimation error: " + f"{result['frequency_error_hz']:.4f} Hz" + ), + ( + "Correlation score: " + f"{result['correlation_score']:.6f}" + ), + ( + "Status without correction: " + f"{result['status_without']}" + ), + ( + "Status with correction: " + f"{result['status_with']}" + ), + "", + ] + ) + +REPORT_PATH.write_text( + "\n".join( + report_lines + ), + encoding="utf-8", +) + + +# ============================================================ +# Проверки +# ============================================================ + +result_at_zero = next( + result + for result in results + if result["true_frequency_hz"] == 0.0 +) + +result_at_maximum = next( + result + for result in results + if ( + result["true_frequency_hz"] + == max(FREQUENCY_OFFSETS_HZ) + ) +) + +assert ( + result_at_zero["status_without"] + == STATUS_SUCCESS +) + +assert all( + result["status_with"] == STATUS_SUCCESS + for result in results +) + +assert abs( + result_at_maximum["frequency_error_hz"] +) < 5.0 + +assert ( + result_at_maximum["status_without"] + != STATUS_SUCCESS +) + +assert GRAPH_PATH.exists() +assert REPORT_PATH.exists() + + +print("\nГрафик:") + +print(GRAPH_PATH) + +print("\nОтчёт:") + +print(REPORT_PATH) + +print( + "\nПроверка пройдена: " + "частотное рассогласование оценено и компенсировано." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab022_noise_and_frequency_offset.py b/Projects/SDR_Rover/tests/lab022_noise_and_frequency_offset.py new file mode 100644 index 0000000..977296a --- /dev/null +++ b/Projects/SDR_Rover/tests/lab022_noise_and_frequency_offset.py @@ -0,0 +1,1716 @@ +""" +Lab022. Совместное действие AWGN и частотного рассогласования. + +Программа многократно передаёт BPSK-радиокадр из Lab018. + +В каждой попытке случайно выбираются: + +- задержка начала кадра; +- начальный фазовый поворот; +- частотное рассогласование; +- реализация AWGN-шума. + +Сравниваются два варианта приёма: + +1. Только компенсация постоянной фазы. +2. Компенсация постоянной фазы и CFO + (Carrier Frequency Offset). + +Для каждой комбинации Eb/N0 и максимального CFO +рассчитываются: + +- FER без компенсации CFO; +- FER после компенсации CFO; +- число необнаруженных кадров; +- средняя корреляционная оценка; +- средняя и среднеквадратичная ошибка оценки CFO. +""" + +from csv import DictWriter +from pathlib import Path +import struct + +import matplotlib.pyplot as plt +import numpy as np +from numpy.lib.stride_tricks import sliding_window_view +from scipy.signal import fftconvolve + +from protocol.packet import ( + CRCError, + MESSAGE_TYPE_TEXT, + PacketError, + parse_packet, +) + + +# ============================================================ +# Параметры радиокадра +# ============================================================ + +RADIO_SYNC_WORD = 0xD391 + +PREAMBLE_BIT_COUNT = 64 + +RADIO_FRAME_BIT_COUNT = 320 + +SAMPLES_PER_SYMBOL = 32 + +SYMBOL_RATE = 20_000 + +SAMPLE_RATE = ( + SYMBOL_RATE + * SAMPLES_PER_SYMBOL +) + +RRC_ROLLOFF = 0.35 +RRC_SPAN_SYMBOLS = 10 + + +# ============================================================ +# Контрольные данные внутреннего пакета +# ============================================================ + +EXPECTED_MESSAGE = "ПРИВЕТ SDR" +EXPECTED_SEQUENCE_NUMBER = 18 + + +# ============================================================ +# Настройки эксперимента +# ============================================================ + +EB_N0_VALUES_DB = [ + 6.0, + 7.0, + 8.0, + 10.0, +] + +# В каждой попытке реальный CFO выбирается случайно +# из диапазона: +# +# -MAX_ABS_CFO ... +MAX_ABS_CFO +MAX_ABS_CFO_VALUES_HZ = [ + 0.0, + 250.0, + 1000.0, +] + +TRIALS_PER_POINT = 30 + +RANDOM_SEED = 2026 + +MAX_RANDOM_DELAY_SAMPLES = ( + 2 + * SAMPLES_PER_SYMBOL +) + +# При меньшей оценке маркер считаем необнаруженным. +DETECTION_THRESHOLD = 0.45 + +# После грубой оценки CFO выполняется уточняющий поиск. +CFO_REFINEMENT_HALF_WIDTH_HZ = 300.0 +CFO_REFINEMENT_STEP_HZ = 1.0 + +MAX_PROTOCOL_PACKET_SIZE = 4096 + + +# ============================================================ +# Пути +# ============================================================ + +INPUT_IQ_PATH = Path( + "data/processed/lab018/" + "lab018_bpsk_tx_iq.npy" +) + +OUTPUT_DIRECTORY = Path( + "data/processed/lab022" +) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + +CSV_PATH = ( + OUTPUT_DIRECTORY + / "lab022_noise_cfo_results.csv" +) + +GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab022_noise_cfo.png" +) + +REPORT_PATH = ( + OUTPUT_DIRECTORY + / "lab022_noise_cfo_report.txt" +) + + +# ============================================================ +# Статусы приёма +# ============================================================ + +STATUS_SUCCESS = "SUCCESS" +STATUS_DETECTION_FAIL = "DETECTION FAIL" +STATUS_HEADER_ERROR = "HEADER ERROR" +STATUS_CRC_ERROR = "CRC ERROR" +STATUS_PACKET_ERROR = "PACKET ERROR" + + +# ============================================================ +# Преобразования bytes и bits +# ============================================================ + +def bytes_to_bits( + data: bytes, +) -> np.ndarray: + """ + Преобразовать bytes в массив битов. + """ + + if not isinstance(data, bytes): + raise TypeError( + "data должен иметь тип bytes" + ) + + return np.unpackbits( + np.frombuffer( + data, + dtype=np.uint8, + ) + ) + + +def bits_to_bytes( + bits: np.ndarray, +) -> bytes: + """ + Упаковать биты обратно в bytes. + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + if bits.ndim != 1: + raise ValueError( + "bits должен быть одномерным массивом" + ) + + if len(bits) % 8 != 0: + raise ValueError( + "Количество битов должно быть кратно восьми" + ) + + if not np.all( + (bits == 0) + | (bits == 1) + ): + raise ValueError( + "bits должен содержать только 0 и 1" + ) + + return np.packbits( + bits + ).tobytes() + + +# ============================================================ +# BPSK +# ============================================================ + +def bpsk_modulate( + bits: np.ndarray, +) -> np.ndarray: + """ + Преобразовать биты в BPSK-символы. + + 0 → -1 + 1 → +1 + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + symbols = ( + 2.0 + * bits.astype(np.float64) + - 1.0 + ) + + return symbols.astype( + np.complex128 + ) + + +def bpsk_demodulate( + symbols: np.ndarray, +) -> np.ndarray: + """ + Демодулировать BPSK по знаку компоненты I. + """ + + return ( + symbols.real >= 0.0 + ).astype(np.uint8) + + +# ============================================================ +# Root Raised Cosine +# ============================================================ + +def root_raised_cosine_taps( + rolloff: float, + samples_per_symbol: int, + span_symbols: int, +) -> np.ndarray: + """ + Рассчитать коэффициенты RRC-фильтра. + """ + + if not 0.0 < rolloff <= 1.0: + raise ValueError( + "rolloff должен быть в диапазоне 0...1" + ) + + if samples_per_symbol <= 0: + raise ValueError( + "samples_per_symbol должен быть положительным" + ) + + if span_symbols <= 0: + raise ValueError( + "span_symbols должен быть положительным" + ) + + if span_symbols % 2 != 0: + raise ValueError( + "span_symbols должен быть чётным" + ) + + half_sample_count = ( + span_symbols + * samples_per_symbol + // 2 + ) + + sample_indexes = np.arange( + -half_sample_count, + half_sample_count + 1, + dtype=np.float64, + ) + + time_values = ( + sample_indexes + / samples_per_symbol + ) + + taps = np.zeros_like( + time_values + ) + + beta = rolloff + + for index, time_value in enumerate( + time_values + ): + + if np.isclose( + time_value, + 0.0, + ): + taps[index] = ( + 1.0 + - beta + + 4.0 * beta / np.pi + ) + + continue + + if np.isclose( + abs(time_value), + 1.0 / (4.0 * beta), + ): + taps[index] = ( + beta + / np.sqrt(2.0) + * ( + ( + 1.0 + + 2.0 / np.pi + ) + * np.sin( + np.pi + / (4.0 * beta) + ) + + ( + 1.0 + - 2.0 / np.pi + ) + * np.cos( + np.pi + / (4.0 * beta) + ) + ) + ) + + continue + + numerator = ( + np.sin( + np.pi + * time_value + * (1.0 - beta) + ) + + ( + 4.0 + * beta + * time_value + * np.cos( + np.pi + * time_value + * (1.0 + beta) + ) + ) + ) + + denominator = ( + np.pi + * time_value + * ( + 1.0 + - ( + 4.0 + * beta + * time_value + ) ** 2 + ) + ) + + taps[index] = ( + numerator + / denominator + ) + + taps /= np.sqrt( + np.sum( + taps ** 2 + ) + ) + + return taps + + +# ============================================================ +# Маркер PREAMBLE + RADIO SYNC +# ============================================================ + +def build_frame_marker( +) -> tuple[np.ndarray, np.ndarray]: + """ + Сформировать известный маркер радиокадра. + """ + + preamble_bits = np.tile( + np.array( + [1, 0], + dtype=np.uint8, + ), + PREAMBLE_BIT_COUNT // 2, + ) + + sync_bits = bytes_to_bits( + struct.pack( + ">H", + RADIO_SYNC_WORD, + ) + ) + + marker_bits = np.concatenate( + [ + preamble_bits, + sync_bits, + ] + ) + + marker_symbols = bpsk_modulate( + marker_bits + ) + + return marker_bits, marker_symbols + + +# ============================================================ +# Искажения канала +# ============================================================ + +def apply_frequency_offset( + iq_samples: np.ndarray, + frequency_offset_hz: float, + phase_offset_radians: float, +) -> np.ndarray: + """ + Добавить начальную фазу и частотное рассогласование. + """ + + sample_indexes = np.arange( + len(iq_samples), + dtype=np.float64, + ) + + phase_values = ( + phase_offset_radians + + 2.0 + * np.pi + * frequency_offset_hz + * sample_indexes + / SAMPLE_RATE + ) + + return ( + iq_samples + * np.exp( + 1j * phase_values + ) + ) + + +def add_awgn_for_eb_n0( + clean_iq: np.ndarray, + signal_energy_per_bit: float, + eb_n0_db: float, + random_generator: np.random.Generator, +) -> np.ndarray: + """ + Добавить комплексный AWGN для заданного Eb/N0. + """ + + eb_n0_linear = 10.0 ** ( + eb_n0_db / 10.0 + ) + + complex_noise_variance = ( + signal_energy_per_bit + / eb_n0_linear + ) + + component_sigma = np.sqrt( + complex_noise_variance / 2.0 + ) + + noise = component_sigma * ( + random_generator.standard_normal( + len(clean_iq) + ) + + 1j + * random_generator.standard_normal( + len(clean_iq) + ) + ) + + return clean_iq + noise + + +# ============================================================ +# Поиск кадра и оценка CFO +# ============================================================ + +def find_frame_and_frequency_offset( + matched_iq: np.ndarray, + marker_symbols: np.ndarray, +) -> dict: + """ + Найти кадр и оценить частотное рассогласование. + + Алгоритм состоит из двух этапов. + + Этап 1: + грубая оценка CFO по межсимвольному + изменению фазы известного маркера. + + Этап 2: + уточняющий частотный поиск около + полученной грубой оценки. + """ + + marker_length = len( + marker_symbols + ) + + marker_indexes = np.arange( + marker_length, + dtype=np.float64, + ) + + marker_energy = float( + np.sum( + np.abs(marker_symbols) ** 2 + ) + ) + + best_result = None + + # -------------------------------------------------------- + # Грубый поиск по всем фазам дискретизации + # -------------------------------------------------------- + + for sample_phase in range( + SAMPLES_PER_SYMBOL + ): + + symbol_samples = matched_iq[ + sample_phase::SAMPLES_PER_SYMBOL + ] + + if len(symbol_samples) < marker_length: + continue + + windows = sliding_window_view( + symbol_samples, + marker_length, + ) + + # Удаляем известные знаки BPSK-маркера. + despread_windows = ( + windows + * marker_symbols[ + np.newaxis, + : + ] + ) + + adjacent_products = ( + despread_windows[:, 1:] + * np.conj( + despread_windows[:, :-1] + ) + ) + + coarse_phase_increments = np.angle( + np.sum( + adjacent_products, + axis=1, + ) + ) + + coarse_compensation = np.exp( + -1j + * coarse_phase_increments[ + :, np.newaxis + ] + * marker_indexes[ + np.newaxis, : + ] + ) + + coherent_sums = np.sum( + despread_windows + * coarse_compensation, + axis=1, + ) + + window_energy = np.sum( + np.abs(windows) ** 2, + axis=1, + ) + + scores = ( + np.abs(coherent_sums) + / ( + np.sqrt( + window_energy + * marker_energy + ) + + 1e-12 + ) + ) + + start_index = int( + np.argmax( + scores + ) + ) + + score = float( + scores[start_index] + ) + + if ( + best_result is None + or score > best_result["score"] + ): + best_result = { + "score": score, + "sample_phase": sample_phase, + "start_symbol_index": start_index, + "symbol_samples": symbol_samples, + "despread_marker": ( + despread_windows[ + start_index + ].copy() + ), + "coarse_phase_increment": float( + coarse_phase_increments[ + start_index + ] + ), + } + + if best_result is None: + raise RuntimeError( + "Не удалось выполнить поиск радиокадра" + ) + + # -------------------------------------------------------- + # Уточнение CFO частотным поиском + # -------------------------------------------------------- + + coarse_frequency_hz = ( + best_result[ + "coarse_phase_increment" + ] + * SYMBOL_RATE + / (2.0 * np.pi) + ) + + frequency_candidates_hz = np.arange( + ( + coarse_frequency_hz + - CFO_REFINEMENT_HALF_WIDTH_HZ + ), + ( + coarse_frequency_hz + + CFO_REFINEMENT_HALF_WIDTH_HZ + + CFO_REFINEMENT_STEP_HZ / 2.0 + ), + CFO_REFINEMENT_STEP_HZ, + dtype=np.float64, + ) + + phase_increment_candidates = ( + 2.0 + * np.pi + * frequency_candidates_hz + / SYMBOL_RATE + ) + + candidate_compensation = np.exp( + -1j + * phase_increment_candidates[ + :, np.newaxis + ] + * marker_indexes[ + np.newaxis, : + ] + ) + + refined_coherent_sums = np.sum( + best_result[ + "despread_marker" + ][ + np.newaxis, : + ] + * candidate_compensation, + axis=1, + ) + + best_frequency_index = int( + np.argmax( + np.abs( + refined_coherent_sums + ) + ) + ) + + estimated_frequency_hz = float( + frequency_candidates_hz[ + best_frequency_index + ] + ) + + estimated_phase_increment = float( + phase_increment_candidates[ + best_frequency_index + ] + ) + + estimated_initial_phase = float( + np.angle( + refined_coherent_sums[ + best_frequency_index + ] + ) + ) + + selected_marker_energy = float( + np.sum( + np.abs( + best_result[ + "despread_marker" + ] + ) ** 2 + ) + ) + + refined_score = float( + np.abs( + refined_coherent_sums[ + best_frequency_index + ] + ) + / ( + np.sqrt( + selected_marker_energy + * marker_length + ) + + 1e-12 + ) + ) + + best_result.update( + { + "score": refined_score, + "frequency_offset_hz": ( + estimated_frequency_hz + ), + "phase_increment": ( + estimated_phase_increment + ), + "initial_phase": ( + estimated_initial_phase + ), + } + ) + + return best_result + + +# ============================================================ +# Разбор восстановленного радиокадра +# ============================================================ + +def decode_radio_frame( + corrected_symbols: np.ndarray, + frame_start_symbol: int, +) -> str: + """ + Демодулировать радиокадр и вернуть статус. + """ + + received_bits = bpsk_demodulate( + corrected_symbols + ) + + available_bits = received_bits[ + frame_start_symbol: + ] + + radio_header_start = ( + PREAMBLE_BIT_COUNT + ) + + radio_header_end = ( + radio_header_start + + 32 + ) + + if len(available_bits) < radio_header_end: + return STATUS_HEADER_ERROR + + try: + radio_header = bits_to_bytes( + available_bits[ + radio_header_start: + radio_header_end + ] + ) + + ( + received_radio_sync, + protocol_packet_length, + ) = struct.unpack( + ">HH", + radio_header, + ) + + except (ValueError, struct.error): + return STATUS_HEADER_ERROR + + if received_radio_sync != RADIO_SYNC_WORD: + return STATUS_HEADER_ERROR + + if not ( + 1 + <= protocol_packet_length + <= MAX_PROTOCOL_PACKET_SIZE + ): + return STATUS_HEADER_ERROR + + protocol_packet_start = ( + radio_header_end + ) + + protocol_packet_end = ( + protocol_packet_start + + protocol_packet_length * 8 + ) + + if len(available_bits) < protocol_packet_end: + return STATUS_HEADER_ERROR + + try: + protocol_packet = bits_to_bytes( + available_bits[ + protocol_packet_start: + protocol_packet_end + ] + ) + + parsed_packet = parse_packet( + protocol_packet + ) + + except CRCError: + return STATUS_CRC_ERROR + + except (PacketError, ValueError): + return STATUS_PACKET_ERROR + + try: + restored_message = ( + parsed_packet.payload.decode( + "utf-8" + ) + ) + + except UnicodeDecodeError: + return STATUS_PACKET_ERROR + + if ( + parsed_packet.message_type + != MESSAGE_TYPE_TEXT + or parsed_packet.sequence_number + != EXPECTED_SEQUENCE_NUMBER + or restored_message + != EXPECTED_MESSAGE + ): + return STATUS_PACKET_ERROR + + return STATUS_SUCCESS + + +# ============================================================ +# Загрузка IQ-сигнала +# ============================================================ + +if not INPUT_IQ_PATH.exists(): + raise FileNotFoundError( + f"Не найден IQ-файл: {INPUT_IQ_PATH}. " + "Сначала необходимо выполнить Lab018." + ) + +transmitted_iq = np.load( + INPUT_IQ_PATH +).astype( + np.complex128 +) + +if transmitted_iq.ndim != 1: + raise ValueError( + "IQ-массив должен быть одномерным" + ) + +if not np.iscomplexobj( + transmitted_iq +): + raise ValueError( + "IQ-массив должен быть комплексным" + ) + + +# ============================================================ +# Подготовка приёмника +# ============================================================ + +rrc_taps = root_raised_cosine_taps( + rolloff=RRC_ROLLOFF, + samples_per_symbol=SAMPLES_PER_SYMBOL, + span_symbols=RRC_SPAN_SYMBOLS, +) + +marker_bits, marker_symbols = ( + build_frame_marker() +) + +signal_energy_per_bit = ( + np.sum( + np.abs(transmitted_iq) ** 2 + ) + / RADIO_FRAME_BIT_COUNT +) + + +# ============================================================ +# Основной эксперимент +# ============================================================ + +results = [] + +for eb_n0_db in EB_N0_VALUES_DB: + + for max_abs_cfo_hz in ( + MAX_ABS_CFO_VALUES_HZ + ): + + random_generator = ( + np.random.default_rng( + RANDOM_SEED + + int( + eb_n0_db * 100 + ) + + int( + max_abs_cfo_hz + ) + ) + ) + + success_without_cfo = 0 + success_with_cfo = 0 + + detection_fail_count = 0 + + correlation_scores = [] + frequency_errors_hz = [] + + for trial_index in range( + TRIALS_PER_POINT + ): + + if max_abs_cfo_hz == 0.0: + true_frequency_hz = 0.0 + + else: + true_frequency_hz = float( + random_generator.uniform( + -max_abs_cfo_hz, + max_abs_cfo_hz, + ) + ) + + phase_offset_radians = float( + random_generator.uniform( + -np.pi, + np.pi, + ) + ) + + sample_delay = int( + random_generator.integers( + 0, + MAX_RANDOM_DELAY_SAMPLES + 1, + ) + ) + + impaired_iq = apply_frequency_offset( + iq_samples=transmitted_iq, + frequency_offset_hz=( + true_frequency_hz + ), + phase_offset_radians=( + phase_offset_radians + ), + ) + + clean_received_iq = np.concatenate( + [ + np.zeros( + sample_delay, + dtype=np.complex128, + ), + impaired_iq, + np.zeros( + 2 * SAMPLES_PER_SYMBOL, + dtype=np.complex128, + ), + ] + ) + + noisy_received_iq = add_awgn_for_eb_n0( + clean_iq=clean_received_iq, + signal_energy_per_bit=( + signal_energy_per_bit + ), + eb_n0_db=eb_n0_db, + random_generator=( + random_generator + ), + ) + + matched_iq = fftconvolve( + noisy_received_iq, + rrc_taps, + mode="full", + ) + + search_result = ( + find_frame_and_frequency_offset( + matched_iq=matched_iq, + marker_symbols=marker_symbols, + ) + ) + + correlation_score = ( + search_result["score"] + ) + + correlation_scores.append( + correlation_score + ) + + if ( + correlation_score + < DETECTION_THRESHOLD + ): + detection_fail_count += 1 + continue + + symbol_samples = search_result[ + "symbol_samples" + ] + + frame_start_symbol = search_result[ + "start_symbol_index" + ] + + estimated_frequency_hz = ( + search_result[ + "frequency_offset_hz" + ] + ) + + frequency_errors_hz.append( + estimated_frequency_hz + - true_frequency_hz + ) + + estimated_initial_phase = ( + search_result[ + "initial_phase" + ] + ) + + estimated_phase_increment = ( + search_result[ + "phase_increment" + ] + ) + + symbol_indexes = np.arange( + len(symbol_samples), + dtype=np.float64, + ) + + relative_symbol_indexes = ( + symbol_indexes + - frame_start_symbol + ) + + # ----------------------------------------------- + # Только постоянная фазовая коррекция + # ----------------------------------------------- + + constant_phase_corrected = ( + symbol_samples + * np.exp( + -1j + * estimated_initial_phase + ) + ) + + status_without = decode_radio_frame( + corrected_symbols=( + constant_phase_corrected + ), + frame_start_symbol=( + frame_start_symbol + ), + ) + + if status_without == STATUS_SUCCESS: + success_without_cfo += 1 + + # ----------------------------------------------- + # Фазовая и частотная коррекция + # ----------------------------------------------- + + complete_phase_model = ( + estimated_initial_phase + + estimated_phase_increment + * relative_symbol_indexes + ) + + frequency_corrected = ( + symbol_samples + * np.exp( + -1j + * complete_phase_model + ) + ) + + status_with = decode_radio_frame( + corrected_symbols=( + frequency_corrected + ), + frame_start_symbol=( + frame_start_symbol + ), + ) + + if status_with == STATUS_SUCCESS: + success_with_cfo += 1 + + fer_without_cfo = ( + 1.0 + - success_without_cfo + / TRIALS_PER_POINT + ) + + fer_with_cfo = ( + 1.0 + - success_with_cfo + / TRIALS_PER_POINT + ) + + mean_correlation = float( + np.mean( + correlation_scores + ) + ) + + if frequency_errors_hz: + + frequency_errors_array = np.array( + frequency_errors_hz, + dtype=np.float64, + ) + + mean_abs_frequency_error_hz = float( + np.mean( + np.abs( + frequency_errors_array + ) + ) + ) + + frequency_rmse_hz = float( + np.sqrt( + np.mean( + frequency_errors_array ** 2 + ) + ) + ) + + else: + mean_abs_frequency_error_hz = float( + "nan" + ) + + frequency_rmse_hz = float( + "nan" + ) + + results.append( + { + "eb_n0_db": eb_n0_db, + "max_abs_cfo_hz": ( + max_abs_cfo_hz + ), + "trials": TRIALS_PER_POINT, + "success_without_cfo": ( + success_without_cfo + ), + "success_with_cfo": ( + success_with_cfo + ), + "detection_fail_count": ( + detection_fail_count + ), + "fer_without_cfo": ( + fer_without_cfo + ), + "fer_with_cfo": ( + fer_with_cfo + ), + "mean_correlation": ( + mean_correlation + ), + "mean_abs_frequency_error_hz": ( + mean_abs_frequency_error_hz + ), + "frequency_rmse_hz": ( + frequency_rmse_hz + ), + } + ) + + +# ============================================================ +# Вывод таблицы +# ============================================================ + +print( + "=== Lab022. Шум и частотное рассогласование ===" +) + +print("\nПопыток на каждую точку:") + +print(TRIALS_PER_POINT) + +print("\nРезультаты:") + +print( + f"{'Eb/N0':>9}" + f"{'CFO ±':>10}" + f"{'Успех без':>12}" + f"{'Успех с':>11}" + f"{'FER без':>10}" + f"{'FER с':>10}" + f"{'Нет кадра':>11}" + f"{'CFO RMSE':>12}" + f"{'Коррел.':>10}" +) + +print("-" * 95) + +for result in results: + + print( + f"{result['eb_n0_db']:>6.1f} дБ" + f"{result['max_abs_cfo_hz']:>7.0f} Гц" + f"{result['success_without_cfo']:>12}" + f"{result['success_with_cfo']:>11}" + f"{result['fer_without_cfo']:>10.3f}" + f"{result['fer_with_cfo']:>10.3f}" + f"{result['detection_fail_count']:>11}" + f"{result['frequency_rmse_hz']:>9.2f} Гц" + f"{result['mean_correlation']:>10.3f}" + ) + + +# ============================================================ +# Сохранение CSV +# ============================================================ + +with CSV_PATH.open( + "w", + newline="", + encoding="utf-8-sig", +) as csv_file: + + writer = DictWriter( + csv_file, + fieldnames=list( + results[0].keys() + ), + ) + + writer.writeheader() + writer.writerows(results) + + +# ============================================================ +# Графики +# ============================================================ + +figure, axes = plt.subplots( + 2, + 2, + figsize=(13, 10), +) + + +# ------------------------------------------------------------ +# 1. FER без CFO-компенсации +# ------------------------------------------------------------ + +measurement_floor = ( + 0.5 + / TRIALS_PER_POINT +) + +for max_abs_cfo_hz in ( + MAX_ABS_CFO_VALUES_HZ +): + + selected_results = [ + result + for result in results + if ( + result["max_abs_cfo_hz"] + == max_abs_cfo_hz + ) + ] + + eb_values = [ + result["eb_n0_db"] + for result in selected_results + ] + + fer_values = [ + max( + result["fer_without_cfo"], + measurement_floor, + ) + for result in selected_results + ] + + axes[0, 0].semilogy( + eb_values, + fer_values, + marker="o", + label=( + f"CFO ±{max_abs_cfo_hz:.0f} Гц" + ), + ) + +axes[0, 0].set_xlabel( + "Eb/N0, дБ" +) + +axes[0, 0].set_ylabel( + "FER" +) + +axes[0, 0].set_title( + "FER без компенсации CFO" +) + +axes[0, 0].grid( + True, + which="both", +) + +axes[0, 0].legend() + + +# ------------------------------------------------------------ +# 2. FER после CFO-компенсации +# ------------------------------------------------------------ + +for max_abs_cfo_hz in ( + MAX_ABS_CFO_VALUES_HZ +): + + selected_results = [ + result + for result in results + if ( + result["max_abs_cfo_hz"] + == max_abs_cfo_hz + ) + ] + + eb_values = [ + result["eb_n0_db"] + for result in selected_results + ] + + fer_values = [ + max( + result["fer_with_cfo"], + measurement_floor, + ) + for result in selected_results + ] + + axes[0, 1].semilogy( + eb_values, + fer_values, + marker="s", + label=( + f"CFO ±{max_abs_cfo_hz:.0f} Гц" + ), + ) + +axes[0, 1].set_xlabel( + "Eb/N0, дБ" +) + +axes[0, 1].set_ylabel( + "FER" +) + +axes[0, 1].set_title( + "FER после компенсации CFO" +) + +axes[0, 1].grid( + True, + which="both", +) + +axes[0, 1].legend() + + +# ------------------------------------------------------------ +# 3. Ошибка оценки CFO +# ------------------------------------------------------------ + +for max_abs_cfo_hz in ( + MAX_ABS_CFO_VALUES_HZ +): + + selected_results = [ + result + for result in results + if ( + result["max_abs_cfo_hz"] + == max_abs_cfo_hz + ) + ] + + axes[1, 0].plot( + [ + result["eb_n0_db"] + for result in selected_results + ], + [ + result["frequency_rmse_hz"] + for result in selected_results + ], + marker="o", + label=( + f"CFO ±{max_abs_cfo_hz:.0f} Гц" + ), + ) + +axes[1, 0].set_xlabel( + "Eb/N0, дБ" +) + +axes[1, 0].set_ylabel( + "CFO RMSE, Гц" +) + +axes[1, 0].set_title( + "Среднеквадратичная ошибка оценки CFO" +) + +axes[1, 0].grid( + True +) + +axes[1, 0].legend() + + +# ------------------------------------------------------------ +# 4. Корреляционная оценка +# ------------------------------------------------------------ + +for max_abs_cfo_hz in ( + MAX_ABS_CFO_VALUES_HZ +): + + selected_results = [ + result + for result in results + if ( + result["max_abs_cfo_hz"] + == max_abs_cfo_hz + ) + ] + + axes[1, 1].plot( + [ + result["eb_n0_db"] + for result in selected_results + ], + [ + result["mean_correlation"] + for result in selected_results + ], + marker="o", + label=( + f"CFO ±{max_abs_cfo_hz:.0f} Гц" + ), + ) + +axes[1, 1].axhline( + DETECTION_THRESHOLD, + linestyle=":", + label="Порог обнаружения", +) + +axes[1, 1].set_xlabel( + "Eb/N0, дБ" +) + +axes[1, 1].set_ylabel( + "Средняя корреляция" +) + +axes[1, 1].set_title( + "Качество обнаружения маркера" +) + +axes[1, 1].grid( + True +) + +axes[1, 1].legend() + + +figure.tight_layout() + +figure.savefig( + GRAPH_PATH, + dpi=160, +) + +plt.close( + figure +) + + +# ============================================================ +# Текстовый отчёт +# ============================================================ + +report_lines = [ + "Lab022. AWGN and carrier frequency offset", + "", + ( + "Trials per point: " + f"{TRIALS_PER_POINT}" + ), + ( + "Detection threshold: " + f"{DETECTION_THRESHOLD:.3f}" + ), + "", +] + +for result in results: + + report_lines.extend( + [ + ( + "Eb/N0: " + f"{result['eb_n0_db']:.1f} dB" + ), + ( + "Maximum absolute CFO: " + f"{result['max_abs_cfo_hz']:.1f} Hz" + ), + ( + "Success without CFO correction: " + f"{result['success_without_cfo']}" + ), + ( + "Success with CFO correction: " + f"{result['success_with_cfo']}" + ), + ( + "FER without correction: " + f"{result['fer_without_cfo']:.6f}" + ), + ( + "FER with correction: " + f"{result['fer_with_cfo']:.6f}" + ), + ( + "CFO RMSE: " + f"{result['frequency_rmse_hz']:.3f} Hz" + ), + "", + ] + ) + +REPORT_PATH.write_text( + "\n".join( + report_lines + ), + encoding="utf-8", +) + + +# ============================================================ +# Автоматические проверки +# ============================================================ + +result_10_db_no_cfo = next( + result + for result in results + if ( + result["eb_n0_db"] == 10.0 + and result["max_abs_cfo_hz"] == 0.0 + ) +) + +result_10_db_large_cfo = next( + result + for result in results + if ( + result["eb_n0_db"] == 10.0 + and result["max_abs_cfo_hz"] == 1000.0 + ) +) + +total_success_without_large_cfo = sum( + result["success_without_cfo"] + for result in results + if result["max_abs_cfo_hz"] == 1000.0 +) + +total_success_with_large_cfo = sum( + result["success_with_cfo"] + for result in results + if result["max_abs_cfo_hz"] == 1000.0 +) + +assert len(results) == ( + len(EB_N0_VALUES_DB) + * len(MAX_ABS_CFO_VALUES_HZ) +) + +assert ( + result_10_db_no_cfo["success_with_cfo"] + >= 25 +) + +assert ( + result_10_db_large_cfo["success_with_cfo"] + >= 24 +) + +assert ( + total_success_with_large_cfo + > total_success_without_large_cfo +) + +assert CSV_PATH.exists() +assert GRAPH_PATH.exists() +assert REPORT_PATH.exists() + + +print("\nCSV:") + +print(CSV_PATH) + +print("\nГрафик:") + +print(GRAPH_PATH) + +print("\nОтчёт:") + +print(REPORT_PATH) + +print( + "\nПроверка пройдена: " + "совместное действие шума и CFO исследовано." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab023_guarded_cfo_correction.py b/Projects/SDR_Rover/tests/lab023_guarded_cfo_correction.py new file mode 100644 index 0000000..d895e0b --- /dev/null +++ b/Projects/SDR_Rover/tests/lab023_guarded_cfo_correction.py @@ -0,0 +1,1637 @@ +""" +Lab023. Защищённая компенсация частотной ошибки. + +Сравниваются три стратегии: + +1. PHASE_ONLY + Компенсируется только постоянный фазовый поворот. + +2. ALWAYS_CFO + Оценённое частотное рассогласование применяется всегда. + +3. GUARDED_CFO + Частотная коррекция применяется только тогда, когда: + + - модуль оценённого CFO превышает мёртвую зону; + - межсимвольная фазовая оценка достаточно достоверна. + +Эксперимент выполняется на полном 320-битном радиокадре: + + PREAMBLE + + RADIO SYNC + + LENGTH + + SDR Rover Link packet + +В каждой попытке добавляются: + +- случайная начальная фаза; +- случайный CFO; +- AWGN-шум. + +Символьная синхронизация в этой лабораторной считается +уже выполненной. Это позволяет исследовать именно логику +управления CFO-компенсацией. +""" + +from csv import DictWriter +from pathlib import Path +import struct + +import matplotlib.pyplot as plt +import numpy as np + +from protocol.packet import ( + CRCError, + MESSAGE_TYPE_TEXT, + PacketError, + build_packet, + parse_packet, +) + + +# ============================================================ +# Параметры радиокадра +# ============================================================ + +RADIO_SYNC_WORD = 0xD391 + +PREAMBLE_BIT_COUNT = 64 + +SYMBOL_RATE = 20_000 + +EXPECTED_MESSAGE = "ПРИВЕТ SDR" +EXPECTED_SEQUENCE_NUMBER = 18 + + +# ============================================================ +# Параметры защищённой CFO-коррекции +# ============================================================ + +# Если модуль оценки меньше этого значения, +# приёмник считает CFO практически нулевым. +CFO_DEAD_ZONE_HZ = 15.0 + +# Достоверность фазового приращения: +# +# 0.0 — полностью случайная фаза; +# 1.0 — идеально постоянное межсимвольное вращение. +MINIMUM_PHASE_CONSISTENCY = 0.55 +# Уточняющий поиск около грубой оценки CFO. +# +# Грубая оценка даёт приблизительный центр, +# после чего перебираются частоты вокруг него. +CFO_REFINEMENT_HALF_WIDTH_HZ = 200.0 + +CFO_REFINEMENT_STEP_HZ = 1.0 + +# ============================================================ +# Параметры эксперимента +# ============================================================ + +EB_N0_VALUES_DB = [ + 6.0, + 7.0, + 8.0, + 10.0, +] + +# В каждой попытке CFO выбирается случайно: +# +# -MAX_CFO ... +MAX_CFO +MAX_ABS_CFO_VALUES_HZ = [ + 0.0, + 250.0, + 1000.0, +] + +TRIALS_PER_POINT = 200 + +RANDOM_SEED = 2026 + + +# ============================================================ +# Выходные файлы +# ============================================================ + +OUTPUT_DIRECTORY = Path( + "data/processed/lab023" +) + +OUTPUT_DIRECTORY.mkdir( + parents=True, + exist_ok=True, +) + +CSV_PATH = ( + OUTPUT_DIRECTORY + / "lab023_guarded_cfo_results.csv" +) + +GRAPH_PATH = ( + OUTPUT_DIRECTORY + / "lab023_guarded_cfo.png" +) + +REPORT_PATH = ( + OUTPUT_DIRECTORY + / "lab023_guarded_cfo_report.txt" +) + + +# ============================================================ +# Статусы декодирования +# ============================================================ + +STATUS_SUCCESS = "SUCCESS" +STATUS_HEADER_ERROR = "HEADER ERROR" +STATUS_CRC_ERROR = "CRC ERROR" +STATUS_PACKET_ERROR = "PACKET ERROR" + + +# ============================================================ +# Преобразование bytes и bits +# ============================================================ + +def bytes_to_bits( + data: bytes, +) -> np.ndarray: + """ + Преобразовать bytes в одномерный массив битов. + """ + + if not isinstance(data, bytes): + raise TypeError( + "data должен иметь тип bytes" + ) + + return np.unpackbits( + np.frombuffer( + data, + dtype=np.uint8, + ) + ) + + +def bits_to_bytes( + bits: np.ndarray, +) -> bytes: + """ + Упаковать массив битов обратно в bytes. + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + if bits.ndim != 1: + raise ValueError( + "bits должен быть одномерным массивом" + ) + + if len(bits) % 8 != 0: + raise ValueError( + "Количество битов должно быть кратно восьми" + ) + + if not np.all( + (bits == 0) | (bits == 1) + ): + raise ValueError( + "bits должен содержать только 0 и 1" + ) + + return np.packbits( + bits + ).tobytes() + + +# ============================================================ +# BPSK +# ============================================================ + +def bpsk_modulate( + bits: np.ndarray, +) -> np.ndarray: + """ + Преобразовать биты в BPSK-символы. + + 0 → -1 + 1 → +1 + """ + + bits = np.asarray( + bits, + dtype=np.uint8, + ) + + symbols = ( + 2.0 + * bits.astype(np.float64) + - 1.0 + ) + + return symbols.astype( + np.complex128 + ) + + +def bpsk_demodulate( + symbols: np.ndarray, +) -> np.ndarray: + """ + Демодулировать BPSK по знаку компоненты I. + """ + + return ( + symbols.real >= 0.0 + ).astype(np.uint8) + + +# ============================================================ +# Формирование полного радиокадра +# ============================================================ + +def build_radio_frame( +) -> tuple[np.ndarray, np.ndarray, np.ndarray]: + """ + Сформировать: + + - биты полного радиокадра; + - BPSK-символы полного радиокадра; + - известные символы PREAMBLE + RADIO SYNC. + """ + + payload = EXPECTED_MESSAGE.encode( + "utf-8" + ) + + protocol_packet = build_packet( + payload=payload, + message_type=MESSAGE_TYPE_TEXT, + sequence_number=EXPECTED_SEQUENCE_NUMBER, + ) + + if len(protocol_packet) > 65535: + raise ValueError( + "Внутренний пакет слишком велик" + ) + + radio_header = struct.pack( + ">HH", + RADIO_SYNC_WORD, + len(protocol_packet), + ) + + preamble_bits = np.tile( + np.array( + [1, 0], + dtype=np.uint8, + ), + PREAMBLE_BIT_COUNT // 2, + ) + + radio_header_bits = bytes_to_bits( + radio_header + ) + + protocol_packet_bits = bytes_to_bits( + protocol_packet + ) + + frame_bits = np.concatenate( + [ + preamble_bits, + radio_header_bits, + protocol_packet_bits, + ] + ) + + frame_symbols = bpsk_modulate( + frame_bits + ) + + marker_bit_count = ( + PREAMBLE_BIT_COUNT + + 16 + ) + + marker_symbols = frame_symbols[ + :marker_bit_count + ] + + return ( + frame_bits, + frame_symbols, + marker_symbols, + ) + + +# ============================================================ +# Искажения канала +# ============================================================ + +def apply_carrier_impairments( + symbols: np.ndarray, + frequency_offset_hz: float, + initial_phase_radians: float, +) -> np.ndarray: + """ + Добавить начальный фазовый поворот и CFO. + + Между соседними символами фаза изменяется на: + + 2π · CFO / SYMBOL_RATE + """ + + symbol_indexes = np.arange( + len(symbols), + dtype=np.float64, + ) + + phase_increment = ( + 2.0 + * np.pi + * frequency_offset_hz + / SYMBOL_RATE + ) + + phase_values = ( + initial_phase_radians + + phase_increment + * symbol_indexes + ) + + return ( + symbols + * np.exp( + 1j * phase_values + ) + ) + + +def add_awgn( + symbols: np.ndarray, + eb_n0_db: float, + random_generator: np.random.Generator, +) -> np.ndarray: + """ + Добавить комплексный AWGN. + + Энергия одного BPSK-символа равна единице. + Один символ переносит один бит. + """ + + eb_n0_linear = 10.0 ** ( + eb_n0_db / 10.0 + ) + + component_sigma = np.sqrt( + 1.0 + / ( + 2.0 + * eb_n0_linear + ) + ) + + noise = component_sigma * ( + random_generator.standard_normal( + len(symbols) + ) + + 1j + * random_generator.standard_normal( + len(symbols) + ) + ) + + return symbols + noise + + +# ============================================================ +# Оценка фазы и CFO по известному маркеру +# ============================================================ + +def estimate_carrier_parameters( + received_symbols: np.ndarray, + marker_symbols: np.ndarray, +) -> dict: + """ + Оценить фазу и частотное рассогласование по маркеру. + + Алгоритм: + + 1. Удалить известные BPSK-знаки маркера. + 2. Получить грубую оценку CFO по соседним символам. + 3. Выполнить уточняющий частотный поиск. + 4. Оценить начальную фазу после компенсации CFO. + 5. Рассчитать достоверность оценки. + """ + + marker_length = len( + marker_symbols + ) + + received_marker = received_symbols[ + :marker_length + ] + + if len(received_marker) != marker_length: + raise ValueError( + "Недостаточно символов маркера" + ) + + # Известные BPSK-знаки равны -1 или +1. + # Умножение удаляет переданную манипуляцию, + # оставляя фазу канала и шум. + despread_marker = ( + received_marker + * marker_symbols + ) + + marker_indexes = np.arange( + marker_length, + dtype=np.float64, + ) + + marker_magnitude_sum = float( + np.sum( + np.abs( + despread_marker + ) + ) + ) + + # ======================================================== + # Постоянная фаза без CFO-компенсации + # ======================================================== + + constant_coherent_sum = np.sum( + despread_marker + ) + + constant_phase = float( + np.angle( + constant_coherent_sum + ) + ) + + constant_coherence = float( + np.abs( + constant_coherent_sum + ) + / ( + marker_magnitude_sum + + 1e-12 + ) + ) + + # ======================================================== + # Грубая оценка CFO + # ======================================================== + + adjacent_products = ( + despread_marker[1:] + * np.conj( + despread_marker[:-1] + ) + ) + + adjacent_sum = np.sum( + adjacent_products + ) + + coarse_phase_increment = float( + np.angle( + adjacent_sum + ) + ) + + coarse_frequency_hz = ( + coarse_phase_increment + * SYMBOL_RATE + / (2.0 * np.pi) + ) + + phase_consistency = float( + np.abs( + adjacent_sum + ) + / ( + np.sum( + np.abs( + adjacent_products + ) + ) + + 1e-12 + ) + ) + + # ======================================================== + # Уточняющий поиск CFO + # ======================================================== + + frequency_candidates_hz = np.arange( + ( + coarse_frequency_hz + - CFO_REFINEMENT_HALF_WIDTH_HZ + ), + ( + coarse_frequency_hz + + CFO_REFINEMENT_HALF_WIDTH_HZ + + CFO_REFINEMENT_STEP_HZ / 2.0 + ), + CFO_REFINEMENT_STEP_HZ, + dtype=np.float64, + ) + + phase_increment_candidates = ( + 2.0 + * np.pi + * frequency_candidates_hz + / SYMBOL_RATE + ) + + candidate_compensation = np.exp( + -1j + * phase_increment_candidates[ + :, np.newaxis + ] + * marker_indexes[ + np.newaxis, : + ] + ) + + coherent_sums = np.sum( + despread_marker[ + np.newaxis, : + ] + * candidate_compensation, + axis=1, + ) + + best_candidate_index = int( + np.argmax( + np.abs( + coherent_sums + ) + ) + ) + + estimated_frequency_hz = float( + frequency_candidates_hz[ + best_candidate_index + ] + ) + + phase_increment = float( + phase_increment_candidates[ + best_candidate_index + ] + ) + + best_coherent_sum = ( + coherent_sums[ + best_candidate_index + ] + ) + + initial_phase_after_cfo = float( + np.angle( + best_coherent_sum + ) + ) + + cfo_coherence = float( + np.abs( + best_coherent_sum + ) + / ( + marker_magnitude_sum + + 1e-12 + ) + ) + + coherence_gain = ( + cfo_coherence + - constant_coherence + ) + + return { + "constant_phase": constant_phase, + "constant_coherence": constant_coherence, + "phase_increment": phase_increment, + "estimated_frequency_hz": ( + estimated_frequency_hz + ), + "initial_phase_after_cfo": ( + initial_phase_after_cfo + ), + "phase_consistency": phase_consistency, + "cfo_coherence": cfo_coherence, + "coherence_gain": coherence_gain, + } + +# ============================================================ +# Коррекция несущей +# ============================================================ + +def correct_constant_phase( + received_symbols: np.ndarray, + phase_radians: float, +) -> np.ndarray: + """ + Компенсировать только постоянную фазу. + """ + + return ( + received_symbols + * np.exp( + -1j * phase_radians + ) + ) + + +def correct_phase_and_frequency( + received_symbols: np.ndarray, + initial_phase_radians: float, + phase_increment: float, +) -> np.ndarray: + """ + Компенсировать постоянную фазу и CFO. + """ + + symbol_indexes = np.arange( + len(received_symbols), + dtype=np.float64, + ) + + phase_model = ( + initial_phase_radians + + phase_increment + * symbol_indexes + ) + + return ( + received_symbols + * np.exp( + -1j * phase_model + ) + ) + + +def should_apply_cfo_correction( + estimated_frequency_hz: float, + phase_consistency: float, + coherence_gain: float, +) -> bool: + """ + Разрешить CFO-коррекцию только при наличии + достаточных оснований. + + Требования: + + 1. Оценка находится вне мёртвой зоны. + 2. Межсимвольное вращение достаточно согласованно. + 3. Компенсация CFO действительно повышает + когерентность известного маркера. + """ + + MINIMUM_COHERENCE_GAIN = 0.02 + + return ( + abs( + estimated_frequency_hz + ) + >= CFO_DEAD_ZONE_HZ + and phase_consistency + >= MINIMUM_PHASE_CONSISTENCY + and coherence_gain + >= MINIMUM_COHERENCE_GAIN + ) + + +# ============================================================ +# Разбор радиокадра +# ============================================================ + +def decode_radio_frame( + corrected_symbols: np.ndarray, +) -> str: + """ + Демодулировать полный радиокадр. + + Возвращает статус приёма. + """ + + received_bits = bpsk_demodulate( + corrected_symbols + ) + + radio_header_start = ( + PREAMBLE_BIT_COUNT + ) + + radio_header_end = ( + radio_header_start + + 32 + ) + + if len(received_bits) < radio_header_end: + return STATUS_HEADER_ERROR + + try: + radio_header = bits_to_bytes( + received_bits[ + radio_header_start: + radio_header_end + ] + ) + + ( + received_sync, + protocol_packet_length, + ) = struct.unpack( + ">HH", + radio_header, + ) + + except (ValueError, struct.error): + return STATUS_HEADER_ERROR + + if received_sync != RADIO_SYNC_WORD: + return STATUS_HEADER_ERROR + + if not 1 <= protocol_packet_length <= 4096: + return STATUS_HEADER_ERROR + + protocol_packet_start = ( + radio_header_end + ) + + protocol_packet_end = ( + protocol_packet_start + + protocol_packet_length * 8 + ) + + if len(received_bits) < protocol_packet_end: + return STATUS_HEADER_ERROR + + try: + protocol_packet = bits_to_bytes( + received_bits[ + protocol_packet_start: + protocol_packet_end + ] + ) + + parsed_packet = parse_packet( + protocol_packet + ) + + except CRCError: + return STATUS_CRC_ERROR + + except (PacketError, ValueError): + return STATUS_PACKET_ERROR + + try: + restored_message = ( + parsed_packet.payload.decode( + "utf-8" + ) + ) + + except UnicodeDecodeError: + return STATUS_PACKET_ERROR + + if ( + parsed_packet.message_type + != MESSAGE_TYPE_TEXT + or parsed_packet.sequence_number + != EXPECTED_SEQUENCE_NUMBER + or restored_message + != EXPECTED_MESSAGE + ): + return STATUS_PACKET_ERROR + + return STATUS_SUCCESS + + +# ============================================================ +# Подготовка исходного кадра +# ============================================================ + +( + transmitted_frame_bits, + transmitted_symbols, + marker_symbols, +) = build_radio_frame() + +print( + "=== Lab023. Защищённая CFO-компенсация ===" +) + +print("\nРазмер полного радиокадра:") + +print( + len(transmitted_frame_bits), + "битов" +) + +print("\nМёртвая зона CFO:") + +print( + f"±{CFO_DEAD_ZONE_HZ:.1f}", + "Гц" +) + +print("\nМинимальная достоверность фазовой оценки:") + +print( + f"{MINIMUM_PHASE_CONSISTENCY:.2f}" +) + + +# ============================================================ +# Основной эксперимент +# ============================================================ + +results = [] + +for eb_n0_db in EB_N0_VALUES_DB: + + for max_abs_cfo_hz in ( + MAX_ABS_CFO_VALUES_HZ + ): + + seed = ( + RANDOM_SEED + + int( + eb_n0_db * 1000 + ) + + int( + max_abs_cfo_hz + ) + ) + + random_generator = np.random.default_rng( + seed + ) + + success_phase_only = 0 + success_always_cfo = 0 + success_guarded_cfo = 0 + + guarded_apply_count = 0 + + frequency_errors = [] + phase_consistency_values = [] + + for trial_index in range( + TRIALS_PER_POINT + ): + + if max_abs_cfo_hz == 0.0: + true_frequency_hz = 0.0 + + else: + true_frequency_hz = float( + random_generator.uniform( + -max_abs_cfo_hz, + max_abs_cfo_hz, + ) + ) + + initial_phase = float( + random_generator.uniform( + -np.pi, + np.pi, + ) + ) + + impaired_symbols = ( + apply_carrier_impairments( + symbols=transmitted_symbols, + frequency_offset_hz=( + true_frequency_hz + ), + initial_phase_radians=( + initial_phase + ), + ) + ) + + received_symbols = add_awgn( + symbols=impaired_symbols, + eb_n0_db=eb_n0_db, + random_generator=random_generator, + ) + + estimate = estimate_carrier_parameters( + received_symbols=received_symbols, + marker_symbols=marker_symbols, + ) + + estimated_frequency_hz = ( + estimate[ + "estimated_frequency_hz" + ] + ) + + phase_consistency = ( + estimate[ + "phase_consistency" + ] + ) + + frequency_errors.append( + estimated_frequency_hz + - true_frequency_hz + ) + + phase_consistency_values.append( + phase_consistency + ) + + # ================================================= + # Стратегия 1. Только постоянная фаза + # ================================================= + + phase_only_symbols = ( + correct_constant_phase( + received_symbols=( + received_symbols + ), + phase_radians=( + estimate[ + "constant_phase" + ] + ), + ) + ) + + status_phase_only = ( + decode_radio_frame( + phase_only_symbols + ) + ) + + if ( + status_phase_only + == STATUS_SUCCESS + ): + success_phase_only += 1 + + # ================================================= + # Стратегия 2. CFO применяется всегда + # ================================================= + + always_cfo_symbols = ( + correct_phase_and_frequency( + received_symbols=( + received_symbols + ), + initial_phase_radians=( + estimate[ + "initial_phase_after_cfo" + ] + ), + phase_increment=( + estimate[ + "phase_increment" + ] + ), + ) + ) + + status_always_cfo = ( + decode_radio_frame( + always_cfo_symbols + ) + ) + + if ( + status_always_cfo + == STATUS_SUCCESS + ): + success_always_cfo += 1 + + # ================================================= + # Стратегия 3. Защищённая CFO-коррекция + # ================================================= + + apply_cfo = ( + should_apply_cfo_correction( + estimated_frequency_hz=( + estimated_frequency_hz + ), + phase_consistency=( + phase_consistency + ), + coherence_gain=( + estimate[ + "coherence_gain" + ] + ), + ) + ) + + if apply_cfo: + guarded_apply_count += 1 + + guarded_symbols = ( + always_cfo_symbols + ) + + else: + guarded_symbols = ( + phase_only_symbols + ) + + status_guarded_cfo = ( + decode_radio_frame( + guarded_symbols + ) + ) + + if ( + status_guarded_cfo + == STATUS_SUCCESS + ): + success_guarded_cfo += 1 + + # ===================================================== + # Итог одной экспериментальной точки + # ===================================================== + + frequency_errors_array = np.asarray( + frequency_errors, + dtype=np.float64, + ) + + frequency_rmse_hz = float( + np.sqrt( + np.mean( + frequency_errors_array ** 2 + ) + ) + ) + + mean_phase_consistency = float( + np.mean( + phase_consistency_values + ) + ) + + fer_phase_only = ( + 1.0 + - success_phase_only + / TRIALS_PER_POINT + ) + + fer_always_cfo = ( + 1.0 + - success_always_cfo + / TRIALS_PER_POINT + ) + + fer_guarded_cfo = ( + 1.0 + - success_guarded_cfo + / TRIALS_PER_POINT + ) + + guarded_apply_rate = ( + guarded_apply_count + / TRIALS_PER_POINT + ) + + results.append( + { + "eb_n0_db": eb_n0_db, + "max_abs_cfo_hz": ( + max_abs_cfo_hz + ), + "trials": TRIALS_PER_POINT, + "success_phase_only": ( + success_phase_only + ), + "success_always_cfo": ( + success_always_cfo + ), + "success_guarded_cfo": ( + success_guarded_cfo + ), + "fer_phase_only": ( + fer_phase_only + ), + "fer_always_cfo": ( + fer_always_cfo + ), + "fer_guarded_cfo": ( + fer_guarded_cfo + ), + "guarded_apply_count": ( + guarded_apply_count + ), + "guarded_apply_rate": ( + guarded_apply_rate + ), + "frequency_rmse_hz": ( + frequency_rmse_hz + ), + "mean_phase_consistency": ( + mean_phase_consistency + ), + } + ) + + +# ============================================================ +# Вывод результатов +# ============================================================ + +print("\nПопыток на каждую точку:") + +print(TRIALS_PER_POINT) + +print("\nРезультаты:") + +print( + f"{'Eb/N0':>9}" + f"{'CFO ±':>10}" + f"{'Усп. фаза':>12}" + f"{'Усп. всегда':>14}" + f"{'Усп. guard':>13}" + f"{'FER фаза':>11}" + f"{'FER всегда':>12}" + f"{'FER guard':>11}" + f"{'Guard on':>10}" + f"{'CFO RMSE':>11}" +) + +print("-" * 114) + +for result in results: + + print( + f"{result['eb_n0_db']:>6.1f} дБ" + f"{result['max_abs_cfo_hz']:>7.0f} Гц" + f"{result['success_phase_only']:>12}" + f"{result['success_always_cfo']:>14}" + f"{result['success_guarded_cfo']:>13}" + f"{result['fer_phase_only']:>11.3f}" + f"{result['fer_always_cfo']:>12.3f}" + f"{result['fer_guarded_cfo']:>11.3f}" + f"{result['guarded_apply_rate'] * 100:>8.1f} %" + f"{result['frequency_rmse_hz']:>8.2f} Гц" + ) + + +# ============================================================ +# Сохранение CSV +# ============================================================ + +with CSV_PATH.open( + "w", + newline="", + encoding="utf-8-sig", +) as csv_file: + + writer = DictWriter( + csv_file, + fieldnames=list( + results[0].keys() + ), + ) + + writer.writeheader() + writer.writerows(results) + + +# ============================================================ +# Подготовка графиков +# ============================================================ + +measurement_floor = ( + 0.5 + / TRIALS_PER_POINT +) + +figure, axes = plt.subplots( + 2, + 2, + figsize=(13, 10), +) + + +# ------------------------------------------------------------ +# 1. FER при истинном CFO = 0 +# ------------------------------------------------------------ + +zero_cfo_results = [ + result + for result in results + if result["max_abs_cfo_hz"] == 0.0 +] + +zero_eb_values = [ + result["eb_n0_db"] + for result in zero_cfo_results +] + +axes[0, 0].semilogy( + zero_eb_values, + [ + max( + result["fer_phase_only"], + measurement_floor, + ) + for result in zero_cfo_results + ], + marker="o", + label="Только постоянная фаза", +) + +axes[0, 0].semilogy( + zero_eb_values, + [ + max( + result["fer_always_cfo"], + measurement_floor, + ) + for result in zero_cfo_results + ], + marker="s", + label="CFO применяется всегда", +) + +axes[0, 0].semilogy( + zero_eb_values, + [ + max( + result["fer_guarded_cfo"], + measurement_floor, + ) + for result in zero_cfo_results + ], + marker="^", + label="Защищённая CFO-коррекция", +) + +axes[0, 0].set_xlabel( + "Eb/N0, дБ" +) + +axes[0, 0].set_ylabel( + "FER" +) + +axes[0, 0].set_title( + "Истинный CFO = 0 Гц" +) + +axes[0, 0].grid( + True, + which="both", +) + +axes[0, 0].legend() + + +# ------------------------------------------------------------ +# 2. FER при CFO ±1000 Гц +# ------------------------------------------------------------ + +large_cfo_results = [ + result + for result in results + if result["max_abs_cfo_hz"] == 1000.0 +] + +large_eb_values = [ + result["eb_n0_db"] + for result in large_cfo_results +] + +axes[0, 1].semilogy( + large_eb_values, + [ + max( + result["fer_phase_only"], + measurement_floor, + ) + for result in large_cfo_results + ], + marker="o", + label="Только постоянная фаза", +) + +axes[0, 1].semilogy( + large_eb_values, + [ + max( + result["fer_always_cfo"], + measurement_floor, + ) + for result in large_cfo_results + ], + marker="s", + label="CFO применяется всегда", +) + +axes[0, 1].semilogy( + large_eb_values, + [ + max( + result["fer_guarded_cfo"], + measurement_floor, + ) + for result in large_cfo_results + ], + marker="^", + label="Защищённая CFO-коррекция", +) + +axes[0, 1].set_xlabel( + "Eb/N0, дБ" +) + +axes[0, 1].set_ylabel( + "FER" +) + +axes[0, 1].set_title( + "Случайный CFO в диапазоне ±1000 Гц" +) + +axes[0, 1].grid( + True, + which="both", +) + +axes[0, 1].legend() + + +# ------------------------------------------------------------ +# 3. Доля включения CFO-коррекции +# ------------------------------------------------------------ + +for max_abs_cfo_hz in ( + MAX_ABS_CFO_VALUES_HZ +): + + selected_results = [ + result + for result in results + if ( + result["max_abs_cfo_hz"] + == max_abs_cfo_hz + ) + ] + + axes[1, 0].plot( + [ + result["eb_n0_db"] + for result in selected_results + ], + [ + result["guarded_apply_rate"] + for result in selected_results + ], + marker="o", + label=( + f"CFO ±{max_abs_cfo_hz:.0f} Гц" + ), + ) + +axes[1, 0].set_xlabel( + "Eb/N0, дБ" +) + +axes[1, 0].set_ylabel( + "Доля включения CFO-коррекции" +) + +axes[1, 0].set_ylim( + -0.03, + 1.03, +) + +axes[1, 0].set_title( + "Решения защищённого корректора" +) + +axes[1, 0].grid( + True +) + +axes[1, 0].legend() + + +# ------------------------------------------------------------ +# 4. Ошибка оценки CFO +# ------------------------------------------------------------ + +for max_abs_cfo_hz in ( + MAX_ABS_CFO_VALUES_HZ +): + + selected_results = [ + result + for result in results + if ( + result["max_abs_cfo_hz"] + == max_abs_cfo_hz + ) + ] + + axes[1, 1].plot( + [ + result["eb_n0_db"] + for result in selected_results + ], + [ + result["frequency_rmse_hz"] + for result in selected_results + ], + marker="o", + label=( + f"CFO ±{max_abs_cfo_hz:.0f} Гц" + ), + ) + +axes[1, 1].set_xlabel( + "Eb/N0, дБ" +) + +axes[1, 1].set_ylabel( + "CFO RMSE, Гц" +) + +axes[1, 1].set_title( + "Точность оценки частотной ошибки" +) + +axes[1, 1].grid( + True +) + +axes[1, 1].legend() + + +figure.tight_layout() + +figure.savefig( + GRAPH_PATH, + dpi=160, +) + +plt.close( + figure +) + + +# ============================================================ +# Текстовый отчёт +# ============================================================ + +report_lines = [ + "Lab023. Guarded CFO correction", + "", + ( + "Trials per point: " + f"{TRIALS_PER_POINT}" + ), + ( + "CFO dead zone: " + f"{CFO_DEAD_ZONE_HZ:.2f} Hz" + ), + ( + "Minimum phase consistency: " + f"{MINIMUM_PHASE_CONSISTENCY:.3f}" + ), + "", +] + +for result in results: + + report_lines.extend( + [ + ( + "Eb/N0: " + f"{result['eb_n0_db']:.1f} dB" + ), + ( + "Maximum absolute CFO: " + f"{result['max_abs_cfo_hz']:.1f} Hz" + ), + ( + "FER phase only: " + f"{result['fer_phase_only']:.6f}" + ), + ( + "FER always CFO: " + f"{result['fer_always_cfo']:.6f}" + ), + ( + "FER guarded CFO: " + f"{result['fer_guarded_cfo']:.6f}" + ), + ( + "Guard apply rate: " + f"{result['guarded_apply_rate']:.6f}" + ), + ( + "CFO RMSE: " + f"{result['frequency_rmse_hz']:.3f} Hz" + ), + "", + ] + ) + +REPORT_PATH.write_text( + "\n".join( + report_lines + ), + encoding="utf-8", +) + + +# ============================================================ +# Автоматические проверки +# ============================================================ + +result_10_db_zero_cfo = next( + result + for result in results + if ( + result["eb_n0_db"] == 10.0 + and result["max_abs_cfo_hz"] == 0.0 + ) +) + +result_10_db_large_cfo = next( + result + for result in results + if ( + result["eb_n0_db"] == 10.0 + and result["max_abs_cfo_hz"] == 1000.0 + ) +) + +assert len(transmitted_frame_bits) == 320 + +# При реальном CFO = 0 защищённый режим +# не должен постоянно включать частотную коррекцию. +assert ( + result_10_db_zero_cfo[ + "guarded_apply_rate" + ] + < 0.25 +) + +# При большом CFO защищённый корректор должен +# быть намного лучше режима только с постоянной фазой. +assert ( + result_10_db_large_cfo[ + "success_guarded_cfo" + ] + > result_10_db_large_cfo[ + "success_phase_only" + ] +) + +# При хорошем SNR защищённый режим должен сохранять +# практически все кадры. +assert ( + result_10_db_large_cfo[ + "success_guarded_cfo" + ] + >= int( + TRIALS_PER_POINT * 0.90 + ) +) + +assert CSV_PATH.exists() +assert GRAPH_PATH.exists() +assert REPORT_PATH.exists() + + +print("\nCSV:") + +print(CSV_PATH) + +print("\nГрафик:") + +print(GRAPH_PATH) + +print("\nОтчёт:") + +print(REPORT_PATH) + +print( + "\nПроверка пройдена: " + "мёртвая зона исключает лишнюю CFO-коррекцию, " + "но сохраняет компенсацию значительного рассогласования." +) \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab024a_pluto_rx_capture.py b/Projects/SDR_Rover/tests/lab024a_pluto_rx_capture.py new file mode 100644 index 0000000..3efcd63 --- /dev/null +++ b/Projects/SDR_Rover/tests/lab024a_pluto_rx_capture.py @@ -0,0 +1,172 @@ +""" +Lab024A. Первый приём реальных IQ-сэмплов с Pluto+. + +Схема: + антенна 40–860 МГц -> RX1 + +Передатчики TX1 и TX2 не используются. +""" + +from pathlib import Path +import json + +import adi +import matplotlib.pyplot as plt +import numpy as np + + +# --------------------------------------------------------------------- +# Параметры приёмника +# --------------------------------------------------------------------- + +PLUTO_URI = "ip:192.168.2.1" + +CENTER_FREQUENCY_HZ = 100_000_000 +SAMPLE_RATE_HZ = 2_400_000 +RX_BANDWIDTH_HZ = 2_000_000 + +RX_BUFFER_SIZE = 262_144 + +OUTPUT_DIRECTORY = Path("data/raw") +IQ_FILE_PATH = OUTPUT_DIRECTORY / "lab024a_pluto_rx_100mhz.npy" +METADATA_FILE_PATH = OUTPUT_DIRECTORY / "lab024a_pluto_rx_100mhz.json" +SPECTRUM_FILE_PATH = OUTPUT_DIRECTORY / "lab024a_pluto_rx_100mhz_spectrum.png" + + +def calculate_spectrum( + samples: np.ndarray, + sample_rate_hz: float, + center_frequency_hz: float, +) -> tuple[np.ndarray, np.ndarray]: + """ + Рассчитывает спектр принятого комплексного IQ-сигнала. + + Возвращает: + frequencies_hz — абсолютные радиочастоты; + power_db — относительная мощность спектра в дБ. + """ + + sample_count = len(samples) + + window = np.hanning(sample_count) + windowed_samples = samples * window + + spectrum = np.fft.fftshift(np.fft.fft(windowed_samples)) + power = np.abs(spectrum) ** 2 + + power_db = 10.0 * np.log10(power + 1e-12) + power_db -= np.max(power_db) + + baseband_frequencies_hz = np.fft.fftshift( + np.fft.fftfreq(sample_count, d=1.0 / sample_rate_hz) + ) + + absolute_frequencies_hz = ( + center_frequency_hz + baseband_frequencies_hz + ) + + return absolute_frequencies_hz, power_db + + +def main() -> None: + OUTPUT_DIRECTORY.mkdir(parents=True, exist_ok=True) + + print("Подключение к Pluto+...") + sdr = adi.Pluto(uri=PLUTO_URI) + + # Используем только первый приёмный канал RX1. + sdr.rx_enabled_channels = [0] + + sdr.sample_rate = SAMPLE_RATE_HZ + sdr.rx_lo = CENTER_FREQUENCY_HZ + sdr.rx_rf_bandwidth = RX_BANDWIDTH_HZ + + # Автоматическая регулировка усиления. + sdr.gain_control_mode_chan0 = "slow_attack" + + sdr.rx_buffer_size = RX_BUFFER_SIZE + + print() + print("Параметры приёмника:") + print(f" URI: {PLUTO_URI}") + print(f" Центральная частота: {sdr.rx_lo / 1e6:.3f} МГц") + print(f" Частота дискретизации: {sdr.sample_rate / 1e6:.3f} Мвыб/с") + print(f" Полоса RX: {sdr.rx_rf_bandwidth / 1e6:.3f} МГц") + print(f" Режим усиления: {sdr.gain_control_mode_chan0}") + print(f" Размер буфера: {sdr.rx_buffer_size} отсчётов") + + print() + print("Получение IQ-сэмплов...") + + # Первый буфер после перенастройки иногда содержит переходный процесс. + _ = sdr.rx() + + # Второй буфер сохраняем и анализируем. + samples = np.asarray(sdr.rx(), dtype=np.complex64) + + print("IQ-сэмплы получены.") + + np.save(IQ_FILE_PATH, samples) + + mean_value = np.mean(samples) + rms_value = np.sqrt(np.mean(np.abs(samples) ** 2)) + peak_value = np.max(np.abs(samples)) + + metadata = { + "pluto_uri": PLUTO_URI, + "center_frequency_hz": int(sdr.rx_lo), + "sample_rate_hz": int(sdr.sample_rate), + "rx_bandwidth_hz": int(sdr.rx_rf_bandwidth), + "gain_control_mode": sdr.gain_control_mode_chan0, + "sample_count": int(len(samples)), + "sample_dtype": str(samples.dtype), + "mean_i": float(np.real(mean_value)), + "mean_q": float(np.imag(mean_value)), + "rms": float(rms_value), + "peak": float(peak_value), + } + + with METADATA_FILE_PATH.open("w", encoding="utf-8") as metadata_file: + json.dump(metadata, metadata_file, ensure_ascii=False, indent=4) + + frequencies_hz, power_db = calculate_spectrum( + samples=samples, + sample_rate_hz=float(sdr.sample_rate), + center_frequency_hz=float(sdr.rx_lo), + ) + + plt.figure(figsize=(12, 6)) + plt.plot(frequencies_hz / 1e6, power_db) + + plt.title("Lab024A. Спектр сигнала, принятого Pluto+") + plt.xlabel("Частота, МГц") + plt.ylabel("Относительная мощность, дБ") + plt.grid(True) + plt.ylim(-100, 5) + plt.tight_layout() + + plt.savefig(SPECTRUM_FILE_PATH, dpi=150) + plt.show() + + print() + print("Статистика:") + print(f" Количество сэмплов: {len(samples)}") + print(f" Тип данных: {samples.dtype}") + print(f" Среднее I: {np.real(mean_value):.3f}") + print(f" Среднее Q: {np.imag(mean_value):.3f}") + print(f" RMS: {rms_value:.3f}") + print(f" Пиковая амплитуда: {peak_value:.3f}") + + print() + print("Созданы файлы:") + print(f" IQ: {IQ_FILE_PATH}") + print(f" Метаданные:{METADATA_FILE_PATH}") + print(f" Спектр: {SPECTRUM_FILE_PATH}") + + print() + print("Lab024A выполнена успешно.") + + +if __name__ == "__main__": + main() + \ No newline at end of file diff --git a/Projects/SDR_Rover/tests/lab024b_pluto_welch_spectrum.py b/Projects/SDR_Rover/tests/lab024b_pluto_welch_spectrum.py new file mode 100644 index 0000000..eb7e62b --- /dev/null +++ b/Projects/SDR_Rover/tests/lab024b_pluto_welch_spectrum.py @@ -0,0 +1,573 @@ +""" +Lab024B. Усреднённый спектр Pluto+ методом Уэлча. + +Схема подключения: + антенна 40–860 МГц -> RX1 + +Передатчики TX1 и TX2 не используются. +""" + +from pathlib import Path +import csv + +import adi +import matplotlib.pyplot as plt +import numpy as np +from scipy.signal import find_peaks, welch + + +# --------------------------------------------------------------------- +# Настройки Pluto+ +# --------------------------------------------------------------------- + +PLUTO_URI = "ip:192.168.2.1" + +CENTER_FREQUENCY_HZ = 100_000_000 +SAMPLE_RATE_HZ = 2_400_000 +RX_BANDWIDTH_HZ = 2_000_000 + +RX_BUFFER_SIZE = 65_536 +BUFFER_COUNT = 16 +DISCARD_BUFFER_COUNT = 2 + + +# --------------------------------------------------------------------- +# Настройки спектрального анализа +# --------------------------------------------------------------------- + +WELCH_SEGMENT_LENGTH = 8_192 +WELCH_OVERLAP_LENGTH = 4_096 + +SMOOTHING_BANDWIDTH_HZ = 40_000 + +MINIMUM_PEAK_DISTANCE_HZ = 120_000 +MINIMUM_PEAK_PROMINENCE_DB = 4.0 +MINIMUM_PEAK_HEIGHT_DB = -25.0 + +DC_EXCLUSION_HALF_WIDTH_HZ = 40_000 + +MAXIMUM_CANDIDATE_COUNT = 12 + + +# --------------------------------------------------------------------- +# Выходные файлы +# --------------------------------------------------------------------- + +OUTPUT_DIRECTORY = Path("data/processed/lab024b") + +SPECTRUM_CSV_PATH = OUTPUT_DIRECTORY / "lab024b_welch_spectrum.csv" +CANDIDATES_CSV_PATH = OUTPUT_DIRECTORY / "lab024b_fm_candidates.csv" +GRAPH_PATH = OUTPUT_DIRECTORY / "lab024b_welch_spectrum.png" +REPORT_PATH = OUTPUT_DIRECTORY / "lab024b_report.txt" + + +def configure_receiver() -> adi.Pluto: + """ + Подключается к Pluto+ и настраивает приёмник RX1. + """ + + print("Подключение к Pluto+...") + + sdr = adi.Pluto(uri=PLUTO_URI) + + # Используем первый приёмный канал. + sdr.rx_enabled_channels = [0] + + sdr.sample_rate = SAMPLE_RATE_HZ + sdr.rx_lo = CENTER_FREQUENCY_HZ + sdr.rx_rf_bandwidth = RX_BANDWIDTH_HZ + + # Автоматическая регулировка усиления. + sdr.gain_control_mode_chan0 = "slow_attack" + + sdr.rx_buffer_size = RX_BUFFER_SIZE + + return sdr + + +def receive_samples(sdr: adi.Pluto) -> np.ndarray: + """ + Получает несколько последовательных IQ-буферов. + + Первые буферы отбрасываются, поскольку сразу после настройки + приёмника могут наблюдаться переходные процессы АРУ и фильтров. + """ + + print() + print("Отбрасывание переходных буферов...") + + for _ in range(DISCARD_BUFFER_COUNT): + _ = sdr.rx() + + received_buffers: list[np.ndarray] = [] + + print("Получение рабочих IQ-буферов...") + + for buffer_number in range(1, BUFFER_COUNT + 1): + samples = np.asarray(sdr.rx(), dtype=np.complex64) + received_buffers.append(samples) + + print( + f" Буфер {buffer_number:02d}/{BUFFER_COUNT}: " + f"{len(samples)} отсчётов" + ) + + combined_samples = np.concatenate(received_buffers) + + if len(combined_samples) == 0: + raise RuntimeError("Pluto+ не вернул IQ-сэмплы.") + + if not np.all(np.isfinite(combined_samples)): + raise RuntimeError("В IQ-буфере обнаружены NaN или Inf.") + + return combined_samples + + +def calculate_welch_spectrum( + samples: np.ndarray, + sample_rate_hz: float, + center_frequency_hz: float, +) -> tuple[np.ndarray, np.ndarray]: + """ + Рассчитывает спектральную плотность мощности методом Уэлча. + + Возвращает: + absolute_frequencies_hz — абсолютные радиочастоты; + power_density — мощность в линейном масштабе. + """ + + baseband_frequencies_hz, power_density = welch( + samples, + fs=sample_rate_hz, + window="hann", + nperseg=WELCH_SEGMENT_LENGTH, + noverlap=WELCH_OVERLAP_LENGTH, + detrend=False, + return_onesided=False, + scaling="density", + ) + + baseband_frequencies_hz = np.fft.fftshift( + baseband_frequencies_hz + ) + + power_density = np.fft.fftshift(power_density) + + absolute_frequencies_hz = ( + center_frequency_hz + baseband_frequencies_hz + ) + + return absolute_frequencies_hz, power_density + + +def smooth_power_spectrum( + power_density: np.ndarray, + frequency_step_hz: float, +) -> np.ndarray: + """ + Сглаживает спектр скользящим средним в линейном масштабе. + + Усреднять следует мощность, а не значения в децибелах. + """ + + smoothing_bin_count = int( + round(SMOOTHING_BANDWIDTH_HZ / frequency_step_hz) + ) + + smoothing_bin_count = max(1, smoothing_bin_count) + + # Нечётная длина ядра обеспечивает симметрию относительно центра. + if smoothing_bin_count % 2 == 0: + smoothing_bin_count += 1 + + kernel = ( + np.ones(smoothing_bin_count, dtype=np.float64) + / smoothing_bin_count + ) + + smoothed_power = np.convolve( + power_density, + kernel, + mode="same", + ) + + return smoothed_power + + +def convert_power_to_relative_db( + raw_power: np.ndarray, + smoothed_power: np.ndarray, +) -> tuple[np.ndarray, np.ndarray]: + """ + Переводит мощность в относительные децибелы. + + 0 дБ соответствует максимальному значению сглаженного спектра. + """ + + minimum_positive_value = np.finfo(np.float64).tiny + + raw_power_db = 10.0 * np.log10( + raw_power + minimum_positive_value + ) + + smoothed_power_db = 10.0 * np.log10( + smoothed_power + minimum_positive_value + ) + + reference_power_db = np.max(smoothed_power_db) + + raw_relative_db = raw_power_db - reference_power_db + smoothed_relative_db = smoothed_power_db - reference_power_db + + return raw_relative_db, smoothed_relative_db + + +def detect_signal_candidates( + frequencies_hz: np.ndarray, + smoothed_power_db: np.ndarray, + center_frequency_hz: float, +) -> list[dict[str, float]]: + """ + Ищет локальные максимумы сглаженного спектра. + + Максимумы сначала рассчитываются по исходному спектру. + После этого отбрасываются точки из DC-зоны и с краёв диапазона. + + Такой порядок не создаёт искусственных провалов -200 дБ + и не искажает значение prominence. + """ + + frequency_step_hz = float( + np.mean(np.diff(frequencies_hz)) + ) + + minimum_distance_bins = max( + 1, + int( + round( + MINIMUM_PEAK_DISTANCE_HZ + / abs(frequency_step_hz) + ) + ), + ) + + edge_bin_count = max( + 1, + int( + round( + SMOOTHING_BANDWIDTH_HZ + / abs(frequency_step_hz) + ) + ), + ) + + # Важно: find_peaks получает настоящий спектр без вставок -200 дБ. + peak_indices, peak_properties = find_peaks( + smoothed_power_db, + height=MINIMUM_PEAK_HEIGHT_DB, + prominence=MINIMUM_PEAK_PROMINENCE_DB, + distance=minimum_distance_bins, + ) + + candidates: list[dict[str, float]] = [] + + for peak_number, peak_index in enumerate(peak_indices): + frequency_hz = float(frequencies_hz[peak_index]) + + # Отбрасываем возможный аппаратный DC-пик. + if ( + abs(frequency_hz - center_frequency_hz) + <= DC_EXCLUSION_HALF_WIDTH_HZ + ): + continue + + # Отбрасываем максимумы возле краёв наблюдаемого диапазона. + if peak_index < edge_bin_count: + continue + + if peak_index >= len(smoothed_power_db) - edge_bin_count: + continue + + candidates.append( + { + "frequency_hz": frequency_hz, + "relative_power_db": float( + smoothed_power_db[peak_index] + ), + "prominence_db": float( + peak_properties["prominences"][peak_number] + ), + } + ) + + # Оставляем наиболее выраженные сигналы. + candidates.sort( + key=lambda item: item["prominence_db"], + reverse=True, + ) + + candidates = candidates[:MAXIMUM_CANDIDATE_COUNT] + + # В итоговой таблице располагаем сигналы по частоте. + candidates.sort( + key=lambda item: item["frequency_hz"] + ) + + return candidates + +def save_candidates_csv( + candidates: list[dict[str, float]], +) -> None: + """ + Сохраняет найденные кандидаты на радиосигналы. + """ + + with CANDIDATES_CSV_PATH.open( + "w", + encoding="utf-8", + newline="", + ) as csv_file: + writer = csv.writer(csv_file) + + writer.writerow( + [ + "frequency_hz", + "frequency_mhz", + "relative_power_db", + "prominence_db", + ] + ) + + for candidate in candidates: + writer.writerow( + [ + f"{candidate['frequency_hz']:.3f}", + f"{candidate['frequency_hz'] / 1e6:.6f}", + f"{candidate['relative_power_db']:.3f}", + f"{candidate['prominence_db']:.3f}", + ] + ) + + +def save_report( + sample_count: int, + candidates: list[dict[str, float]], +) -> None: + """ + Создаёт текстовый отчёт лабораторной. + """ + + report_lines = [ + "Lab024B. Усреднённый спектр Pluto+ методом Уэлча", + "", + f"URI: {PLUTO_URI}", + f"Центральная частота: {CENTER_FREQUENCY_HZ / 1e6:.3f} МГц", + f"Частота дискретизации: {SAMPLE_RATE_HZ / 1e6:.3f} Мвыб/с", + f"Полоса RX: {RX_BANDWIDTH_HZ / 1e6:.3f} МГц", + f"Количество IQ-сэмплов: {sample_count}", + f"Размер сегмента Уэлча: {WELCH_SEGMENT_LENGTH}", + f"Перекрытие сегментов: {WELCH_OVERLAP_LENGTH}", + "", + f"Найдено кандидатов: {len(candidates)}", + "", + ] + + for candidate_number, candidate in enumerate( + candidates, + start=1, + ): + report_lines.append( + f"{candidate_number:02d}. " + f"{candidate['frequency_hz'] / 1e6:.6f} МГц, " + f"уровень {candidate['relative_power_db']:.2f} дБ, " + f"выраженность {candidate['prominence_db']:.2f} дБ" + ) + + REPORT_PATH.write_text( + "\n".join(report_lines), + encoding="utf-8", + ) + + +def create_graph( + frequencies_hz: np.ndarray, + raw_power_db: np.ndarray, + smoothed_power_db: np.ndarray, + candidates: list[dict[str, float]], +) -> None: + """ + Строит исходный и сглаженный спектры. + """ + + plt.figure(figsize=(13, 7)) + + plt.plot( + frequencies_hz / 1e6, + raw_power_db, + linewidth=0.6, + alpha=0.45, + label="Спектр Уэлча", + ) + + plt.plot( + frequencies_hz / 1e6, + smoothed_power_db, + linewidth=1.5, + label="Сглаженный спектр", + ) + + for candidate in candidates: + frequency_mhz = candidate["frequency_hz"] / 1e6 + power_db = candidate["relative_power_db"] + + plt.scatter( + [frequency_mhz], + [power_db], + marker="o", + ) + + plt.annotate( + f"{frequency_mhz:.3f}", + xy=(frequency_mhz, power_db), + xytext=(0, 10), + textcoords="offset points", + ha="center", + fontsize=8, + rotation=45, + ) + + plt.axvspan( + (CENTER_FREQUENCY_HZ - DC_EXCLUSION_HALF_WIDTH_HZ) / 1e6, + (CENTER_FREQUENCY_HZ + DC_EXCLUSION_HALF_WIDTH_HZ) / 1e6, + alpha=0.15, + label="Исключённая DC-зона", + ) + + plt.title( + "Lab024B. Усреднённый спектр Pluto+ и кандидаты на FM-сигналы" + ) + plt.xlabel("Частота, МГц") + plt.ylabel("Относительная мощность, дБ") + plt.grid(True) + plt.ylim(-60, 5) + plt.legend() + plt.tight_layout() + + plt.savefig(GRAPH_PATH, dpi=160) + plt.show() + + +def main() -> None: + OUTPUT_DIRECTORY.mkdir(parents=True, exist_ok=True) + + sdr = configure_receiver() + + print() + print("Параметры приёмника:") + print(f" URI: {PLUTO_URI}") + print( + f" Центральная частота: " + f"{sdr.rx_lo / 1e6:.3f} МГц" + ) + print( + f" Частота дискретизации: " + f"{sdr.sample_rate / 1e6:.3f} Мвыб/с" + ) + print( + f" Полоса RX: " + f"{sdr.rx_rf_bandwidth / 1e6:.3f} МГц" + ) + print( + f" Режим усиления: " + f"{sdr.gain_control_mode_chan0}" + ) + + samples = receive_samples(sdr) + + print() + print(f"Всего получено: {len(samples)} IQ-сэмплов") + + frequencies_hz, power_density = calculate_welch_spectrum( + samples=samples, + sample_rate_hz=float(sdr.sample_rate), + center_frequency_hz=float(sdr.rx_lo), + ) + + frequency_step_hz = float( + np.mean(np.diff(frequencies_hz)) + ) + + smoothed_power = smooth_power_spectrum( + power_density=power_density, + frequency_step_hz=frequency_step_hz, + ) + + raw_power_db, smoothed_power_db = ( + convert_power_to_relative_db( + raw_power=power_density, + smoothed_power=smoothed_power, + ) + ) + + candidates = detect_signal_candidates( + frequencies_hz=frequencies_hz, + smoothed_power_db=smoothed_power_db, + center_frequency_hz=float(sdr.rx_lo), + ) + + save_spectrum_csv( + frequencies_hz=frequencies_hz, + raw_power_db=raw_power_db, + smoothed_power_db=smoothed_power_db, + ) + + save_candidates_csv(candidates) + save_report(len(samples), candidates) + + print() + print("Найденные кандидаты на радиосигналы:") + print() + + if candidates: + print( + " № Частота, МГц Уровень, дБ " + "Выраженность, дБ" + ) + print( + " -- ------------ ----------- " + "-----------------" + ) + + for candidate_number, candidate in enumerate( + candidates, + start=1, + ): + print( + f" {candidate_number:2d} " + f"{candidate['frequency_hz'] / 1e6:12.6f} " + f"{candidate['relative_power_db']:11.2f} " + f"{candidate['prominence_db']:17.2f}" + ) + else: + print(" Кандидаты не найдены.") + + create_graph( + frequencies_hz=frequencies_hz, + raw_power_db=raw_power_db, + smoothed_power_db=smoothed_power_db, + candidates=candidates, + ) + + print() + print("Созданы файлы:") + print(f" Спектр: {SPECTRUM_CSV_PATH}") + print(f" Кандидаты: {CANDIDATES_CSV_PATH}") + print(f" График: {GRAPH_PATH}") + print(f" Отчёт: {REPORT_PATH}") + + print() + print("Lab024B выполнена успешно.") + + +if __name__ == "__main__": + main() \ No newline at end of file diff --git a/Projects/SDR_Rover/tools/.gitkeep b/Projects/SDR_Rover/tools/.gitkeep new file mode 100644 index 0000000..e69de29 diff --git a/Projects/SDR_Rover/tools/__init__.py b/Projects/SDR_Rover/tools/__init__.py new file mode 100644 index 0000000..633f866 --- /dev/null +++ b/Projects/SDR_Rover/tools/__init__.py @@ -0,0 +1,2 @@ +# -*- coding: utf-8 -*- + diff --git a/Projects/SDR_Rover/tools/virtual_channel.py b/Projects/SDR_Rover/tools/virtual_channel.py new file mode 100644 index 0000000..e4179f3 --- /dev/null +++ b/Projects/SDR_Rover/tools/virtual_channel.py @@ -0,0 +1,72 @@ +""" +Виртуальный канал связи SDR Rover Link. + +Имитирует: +1. Полную потерю пакета. +2. Случайное изменение отдельных битов. +""" + +import random + + +def transmit( + packet: bytes, + drop_probability: float, + bit_error_probability: float, + random_generator: random.Random, +): + """ + Передать пакет через виртуальный канал. + + Возвращает: + received_packet: + Пакет после прохождения канала. + None означает полную потерю пакета. + + flipped_bits: + Количество изменённых битов. + """ + + if not isinstance(packet, (bytes, bytearray)): + raise TypeError( + "packet должен иметь тип bytes или bytearray" + ) + + if not 0.0 <= drop_probability <= 1.0: + raise ValueError( + "drop_probability должен находиться " + "в диапазоне 0.0...1.0" + ) + + if not 0.0 <= bit_error_probability <= 1.0: + raise ValueError( + "bit_error_probability должен находиться " + "в диапазоне 0.0...1.0" + ) + + # Решаем, потерян ли пакет полностью. + if random_generator.random() < drop_probability: + return None, 0 + + corrupted_packet = bytearray(packet) + flipped_bits = 0 + + # Перебираем каждый байт. + for byte_index in range(len(corrupted_packet)): + + # В каждом байте восемь битов. + for bit_index in range(8): + + if ( + random_generator.random() + < bit_error_probability + ): + bit_mask = 1 << bit_index + + # XOR меняет выбранный бит: + # 0 → 1 или 1 → 0. + corrupted_packet[byte_index] ^= bit_mask + + flipped_bits += 1 + + return bytes(corrupted_packet), flipped_bits \ No newline at end of file

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