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.

1
Y(K) =  2X(K)   ;  for K = odd
2
Y(K) =  0   ;  for K = odd
3
Y(K) =  2X(K)   ;  for K = even
4
Y(K) =  X(K)   ;  for K = even

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