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 zk 0 8ej (2k 8) ( 8) 0 k 7 (a) Sketch the points zk in the complex plane (b) Determine a sequence s(n) such that its DFT provides the desired samples of X(z) ...

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

Question:

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:
zk = 0.8ej[(2πk/8)+(π/8)] 0 ≤ k ≤ 7
(a) Sketch the points {zk} in the complex plane.
(b) Determine a sequence s(n) such that its DFT provides the desired samples of X(z).