Virtual Labs

Let x(n) be a sequence that is zero outside the interval [0,N-1] with a DFT X(K). Derive the expression for the DFT of y(n); If y(n) = x(n) + x(n - N) and choose the correct answer/answers from below.

a: Y(K) = 2X(K) ; for K = odd Explanation

Explanation

b: Y(K) = 0 ; for K = odd Explanation

Explanation

c: Y(K) = 2X(K) ; for K = even Explanation

Explanation

d: Y(K) = X(K) ; for K = even Explanation

Explanation

DFT of a sequence x(n) is given as X(K) = {64, 32, 80, 32} The value of IDFT [IDFT [IDFT [IDFT {X(K))}]]] is ______

a: [4, -2, 5, -2] Explanation

Explanation

b: [-4, 2, -5, 2] Explanation

Explanation

c: [4, 2, -5, 2] Explanation

Explanation

d: [4, 2, 5, 2] Explanation

Explanation

Two point DFT of a sequence x[n] is X[k] = [6, 2], compute its inverse.

a: x(n) = [2,2] Explanation

Explanation

b: x(n) = [2,4] Explanation

Explanation

c: x(n) = [4,4] Explanation

Explanation

d: x(n) = [4,2] Explanation

Explanation

Inverse discrete Fourier transform of Y(k) = {1, 0, 1, 0} is

a: y(n) = {0, 0.5, 0, 0.5} Explanation

Explanation

b: y(n) = {0.5, 0, 0.5, 0} Explanation

Explanation

c: y(n) = {0.5, 0.5, 0, 0} Explanation

Explanation

d: y(n) = {0, 0, 0.5, 0.5} Explanation

Explanation

Community Links Sakshat Portal Outreach Portal FAQ: Virtual Labs

AGPL 3.0 & Creative Commons (CC BY-NC-SA 4.0)