Let X[k] denote the N-point DFT of the N-point sequence x[n]. (a) Show that if x[n] =

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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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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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Question Posted: May 26, 2011 02:57 AM

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Let X[k] denote the N-point DFT of the N-point sequence x[n]. (a) Show that if x[n] =

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Discrete Time Signal Processing

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