Consider a finite-duration sequence 

(a) Sketch the sequence s (n) with six-point DFT 

S(k) = W₂^*X (k)           k = 0, 1… 6

(b) Determine the sequence y (n) with six-point DFT Y (k) = Re |X (k)|.

(c) Determine the sequence v (n) with six-point DFT V (k) = Im |X (k)|.

x(n) = {0, 1. 2. 3. 4}