Consider a real finite-length sequence x[n] with Fourier transform X(e j ) and DFT X[k]. If Jm{X[k]}

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Consider a real finite-length sequence x[n] with Fourier transform X(e) and DFT X[k]. If 

Jm{X[k]} = 0,             k= 0,1,…., N – 1.

 Can we conclude that 

Jm{X(e)} = 0,            − π ≤ ω ≤ π?

State your reasoning if your answer is yes. Give a counterexample if your answer is no.

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Related Book For  book-img-for-question

Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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