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Convolution

Properties of Convolution

  1. identity element: \((x \ast \delta)[n] = x[n]\)
  2. \((x \ast \delta)[n-N] = x[n-N]\)
  3. commutative: \(x \ast h = h \ast x\)
  4. distributive: \(x\ast (h_1 + h_2) = x \ast h_1 + x \ast h_2\)

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