Consider a finite-duration sequence x(n), 0 ≤ n ≤ 7, with z -transform X (z) . We wish t...

Consider a finite-duration sequence x(n), 0 ≤ n ≤ 7, with z -transform X (z) . We wish to compute X(z) at the following set of values:

0 ≤ k ≤ 7

(a) Sketch the points in the complex plane.

(b) Determine a sequence s(n) such that its DFT provides the desired samples of X(z).