## Answers

Given LTI system: which is equivalent to In parallel impulse responses get added in series or impulse responses get convolved to get overall impulse response (a) so h(t) = [h_1(t) + h_2(t)] * h_3(t) * h_4(t) 9b) Given h_4(t) * h_1(t) = delta(t) = h_1(t) * h_4(t) h(t) = h_1(t) * h_2(t) * h_4(t) + h_2(t) * h_3(t) * h_4(t) = h_1(t) * h_4(t) * h_3(t) + h_2(t) * h_3(t) + h_2(t) * h_3(t) * h_4(t) = delta(t) * h_3(t) + h_2(t) * h_3(t) * h_4(t) = h_3(t) + h_2(t) * h_3(t) * h_4(t) = h_3(t) [1] + h_2(t) * h_3(t) * h_4(t) h(t) = h_3(t) + h_2(t) * h_3(t) * h_4(t)

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