Consider the real finite-length sequence x[n] shown in Figure.

(a) Sketch the finite-length sequence y[n] whose six-point DFT is?

Y[k] = W₆^4k X[k],

where X[k] is the six-point DFT of x[n].

(b) Sketch the finite-length sequence w[n] whose six-point DFT is?

W[k] = Re{X [k]}.

(c) Sketch the finite-length sequence q[n] whose three-point DFT is

Q[k] = X[2k], ? ? ? ? ? ? ? k = 0, 1, 2.

Transcribed Image Text:

x [n] 2 -2 -1 0 1 2 3 4 5 6