Show that [sum_{n=0}^{N-1} W_{N}^{n k}= begin{cases}N, & text { for } k=0, pm N, pm 2 N,
Question:
Show that
\[\sum_{n=0}^{N-1} W_{N}^{n k}= \begin{cases}N, & \text { for } k=0, \pm N, \pm 2 N, \ldots \\ 0, & \text { otherwise }\end{cases}\]
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Step by Step Answer:
To prove this statement lets consider the case of k 0 separately When k 0 ...View the full answer
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Related Book For 
Digital Signal Processing System Analysis And Design
ISBN: 9780521887755
2nd Edition
Authors: Paulo S. R. Diniz, Eduardo A. B. Da Silva , Sergio L. Netto
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