Let X [k] denote the N-point DFT of the N-point sequence x[n].
(a) Show that if
x[n] = -x[N-1-n]
then X [0] = 0. Consider separately the cases of N even and N odd.
(b) Show that if N is even and if
x[n] =x [N-1-n],
then X [N/2] =0.
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