Question: Suppose x 1 [n] is an infinite-length, stable (i.e., absolutely summable) sequence with z-transform given by x 1 (z) = 1/ 11/3z 1 . Suppose

Suppose x1[n] is an infinite-length, stable (i.e., absolutely summable) sequence with z-transform given by

x1(z) = 1/ 1−1/3z−1.

Suppose x2[n] is a finite-length sequence of length N, and the N-point DFT of x2[n] is 

X2[k] = X1(z) | z=ej2πk/N’             k = 0, 1…..N – 1,

Determine x2[n].

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