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| 1. |
If [] = 3δ[] + δ[ - 1], [] = 2δ[] + δ[ - 2][] = δ[] - 3δ[ - 1] + 7δ[ - 4] + 6δ[ - 6][] = [] * [] + 3[n] * [] has value |
| Answer» h1[n] * h2[n] + h3[n] * h1[n] = h1[n] * (h2[n] + h3[n]) Distributive property for convolution, (h2[n] + h3[n]) = 3δ(n) - 3δ(n - 1) + δ(n - 2) + 7δ(n -4) + 6δ(n - 6) then h1(n) * (h2(n) + h3(n)) {9, - 6, 0, 1, 21, 7, 18, 6}. | |