Engee Community
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Примеры и проекты
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Свёртка сигналов
Свёртка сигналов
Автор
artpgchДанный алгоритм выполняет операцию свёртки двух последовательностей. Имея временной сдвиг, одна последовательность поэлементно перемножается с зеркально отражённой другой, элементы результата перемножения складываются между собой. Затем первая последовательность сдвигается на один отсчёт при каждой итерации. Операция суммирования поэлементного перемножения повторяется до окончания взаимного сдвига последовательностей.
Импортируем необходимые пакеты:
Pkg.add("DSP")
Pkg.add("Plots")
using DSP, Plots
Инициализируем временную область, импульсную характеристику, и функцию входного сигнала:
dt = 0.01 # временной шаг
t1 = 0:dt:2
ft = 2 .- t1 # импульсеая характеристика
t2 = -2:dt:2
gt = 3 .* ones(length(t2)) # входной сигнал
Применим операцию свёртки к импульсной характеристике и входному сигналу:
yt = dt .* conv(ft, gt) # применение операции свёртки
ytx = dt .* (1:length(yt)) .+ first(t2)
Построим графики импульсной характеристики, входного и выходного сигнала:
# графики импульсной характеристики, входного и выходного сигнала
p1 = plot(t1, ft, color=:red, linewidth=3, title="Импульсная характеристика", xlabel="", ylabel="Амплитуда", grid=true, xlim=(-2, 2), legend=false)
p2 = plot(t2, gt, color=:green, linewidth=3, title="Входной сигнал", xlabel="время, с", ylabel="Амплитуда", grid=true, ylim=(0, 3.5), legend=false)
p3 = plot(ytx, yt, color=:blue, linewidth=3, title="Выходной сигнал", xlabel="время, с", ylabel="Амплитуда", grid=true, legend=false)
plot(p1, p2, p3)
Операция дискретной свёртки выполнена.
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Группа видимости
ПубличноПросматривать контент могут все пользователи сообщества
Тип
Интерактивные скрипты
Краткое описание
Выполнение операции свёртки входного сигнала и импульсной характеристики системы.
Связанные материалы
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Julia
Форматы
ngscript
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Базовый
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