574 Only Consider the system shown in Figure P2.8.1 created by the parallel connection of two...

 

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574 Only Consider the system shown in Figure P2.8.1 created by the parallel connection of two LTI systems with impulse responses h₁ [n] and ha[n]. x[n] 1 -1 0 1 2 h₂[n] Figure P2.8.1. System made by the parallel connection of LTI systems When the input is the signal a[n] shown in Figure P2.8.2, the output is the signal y[n] shown in the same figure. h₁ [n] 12 h₁ [n] y[n] 1 1 3 4 5 Figure P2.8.2: Input z[n] and output y[n] The impulse response h₁ [n] is given in Figure P2.8.3, but he[n] is unknown. Sketch a choice for ha[n] consistent with the information given in the figures. Justify your answer. Answers without justification will be assumed to be guesses and receive no credit. -1 0 1 2 3 -1 0 1 2 3 4 5 67 -1 2 4 5 ✦ y[n] 71 Figure P2.8.3: Impulse response h₁ [n] -TL 574 Only Consider the system shown in Figure P2.8.1 created by the parallel connection of two LTI systems with impulse responses h₁ [n] and ha[n]. x[n] 1 -1 0 1 2 h₂[n] Figure P2.8.1. System made by the parallel connection of LTI systems When the input is the signal a[n] shown in Figure P2.8.2, the output is the signal y[n] shown in the same figure. h₁ [n] 12 h₁ [n] y[n] 1 1 3 4 5 Figure P2.8.2: Input z[n] and output y[n] The impulse response h₁ [n] is given in Figure P2.8.3, but he[n] is unknown. Sketch a choice for ha[n] consistent with the information given in the figures. Justify your answer. Answers without justification will be assumed to be guesses and receive no credit. -1 0 1 2 3 -1 0 1 2 3 4 5 67 -1 2 4 5 ✦ y[n] 71 Figure P2.8.3: Impulse response h₁ [n] -TL

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xh th cm xm hich xnhh xn hich h n hn hin h h yn xnhn 1 1 2 2 2 1 1 0 Ln6 ... View the full answer