Частотная адаптация при воздействии помехи¶
В этом примере показано, как моделировать радилокационные системы с частотной адаптацией при воздействии помех.
Подключение библиотек и вспомогательных функций¶
Активные фазированные антенные решетки с электронным сканированием могут помогать решать множество задач, использующих одно и то же оборудование антенной решетки. Их могут использовать в радарах, РЭБ и системах связи. Однако окружающая среда, в которой работают системы такого типа, сложна и может вносить нежелательные помехи. Например, устройство постановки помех на ретрансляторе может повторить принятый сигнал радара и повторно передать его, чтобы сбить радар с толку. Адаптация к частоте может быть эффективным методом противодействия сигналам, генерируемым источниками помех, и способствовать эффективной работе этих систем.
В этом примере моделируется сценарий со стационарным моностатическим радаром и движущейся авиационной целью (похожий сценарий рассматривается в примере Перестройка центральной частоты при воздействии помех). Затем самолет будет генерировать подменяющий сигнал, который сбивает радар с толку. Как только радар обнаружит источник помех, могут быть использованы методы перестойки центральной частоты, позволяющие РЛС обойти помехи.
1. Моделирование системы в среде без помех¶
Предположим, что в начале координат находится моностатический радар X-диапазона.
Приемная антенна состоит из 64 элементов (8х8) эквидистатной прямоугольной антенной решетки с шагом половины длины волны между элементами:
Out[0]:
URA:
Element=CosineAntennaElement: FrequencyRange=[0.0 1.0e20] CosinePower=[1.5 1.5]
Size=[8 8]
ElementSpacing=[0.015 0.015]
Lattice=Rectangular
ArrayNormal=x
Taper=1
Для лучшей характеристики направленности АР, сформируем 2-мерную оконную функцию Тейлора:
Диаграмму направленности антенной решетки можно построить с помощью функции pattern
:
В рассматриваемом РЛС источником сигнала будет являться сигнал с линейной частотной модуляцией (ЛЧМ):
Далее, создадим объекты цели и среды распространения:
С помощью ранее заданных системных объектов системы вычислим отраженный сигнал от цели в условиях отсуствия помехи:
Вычислим направление и реализуем формирование луча с помощью BeamscanEstimator2D
и SubbandPhaseShiftBeamformer
Выполним согласованную фильтрацию, для этого вычислим коэффициенты фильтра по средствам функции getMatchedFilter
Применим согласованную фильтрацию к сформированному лучу и визуализируем результат работы РЛС:
2. Добавление помеховой компоненты¶
Теперь смоделируем помеховый сигнал по средством имитации полезного сигнала и задержки во времени:
Посмотрим каким образом преобразился выходной график модели:
Можем заметить, что после добавление помехи на выходе согласованного фильтра сформировалось 2 корреляционных пика, причем 1 пик от помехи преобладает и затеняет истинное положение цели.
3. Перестройка центральной частоты¶
Для уменьшения влияния помеховой составляющей можно воспользоваться подходом перестраивания частоты, заключающийся в изменение центральной частоты сигнала на значение нескольких полос сигнала:
Построим спектрограмму суммы 2 сигналов - несмещенного и смещенного ЛЧМ сигнала:
На спектрограмме видно, что спектры сигналов смещены относительно друг друга примерно на 250 кГц.
Повторим моделирование сценария работы РЛС для смещенного сигнала:
Для выделения полезной составляющей и удаления помеховой компоненты требуется полосовой фильтр, настроенный на смещенную частоту с полосой ЗС.
Зададим коэффициенты фильтра НЧ Баттерворта 9 порядка и сместим центральную полосу на 250 кГц:
Реализуем фильтрация в полосе ЗС:
Из графика сигнала на выходе СФ можно заметить, что корреляционный пик помеховой составляющей успешно подавлен.
Таким образом, применение перестройки центральной частоты позволило
В примере был рассмотрено моделирование РЛС, перестраиваемого по частоте, при использовании системных объектов библиотеки EngeePhased. Такой подход позволил уменьшить воздействие помехой компоненты и успешно выделить полезный сигнал.
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