Consider the following two signals: ( 1 )n+ I XJ [n] = 2 u[n + 1], ( 1 )n x2[n] = 4

Chapter 10, Problem 10.41

(choose chapter or problem)

Consider the following two signals: ( 1 )n+ I XJ [n] = 2 u[n + 1], ( 1 )n x2[n] = 4 u[n]. Let X 1 (z) and X1 (z) respectively be the unilateral and bilateral z-transforms of x 1 [n], and let X2(z) and X2(z) respectively be the unilateral and bilateral ztransforms of x2 [ n]. (a) Take the inverse bilateral z-transform of X1 (z)X2(z) to determine g[n] = XJ [n] * x2[n]. (b) Take the inverse unilateral z-transform ofX1(z)X2(z) to obtain a signal q[n] for n 2: 0. Observe that q[n] and g[n] are not identical for n 2: 0.

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