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(b)For this part, we can again use the shift and scale method since the sequence x[n of a short duration as given below cure 2.1. b: nl Thus, we can write the output as a sum of scaled shifted inputs as follows: y]=2u2-n]+2+h(1-n]+2+2u-n]+2+3u-m-1]+2n+u-n-2 ∑2+u2-n-(b) For this part, we can again use the shift and scale method since the sequence x[n] is of a short duration as given below: 1 −1 −6 −5 −4 −3 −2 −1 1 2 3 4 5 2 3 4 5 x[n] n Figure 2.1.b: x[n] Thus, we can write the output as a sum of scaled shifted inputs as follows: y[n] = 2nu[2 − n] + 2n+1u[1 − n] + 2n+2u[−n] + 2n+3u[−n − 1] + 2n+4u[−n − 2] � 4 = 2n+ku[2 − n − k] k=0 8
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