(a) Show that the fundamental period Np of the signals s k (n) = e j2kn/N ....

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(a) Show that the fundamental period Np of the signals 

sk (n) = ej2πkn/N. k = 0. 1. 2. . . .

is given by Np = N/GCD(K,N), where GCD is the greatest common divisor of k and N. 

(b) What is the fundamental period of this set for N = 7?

(c) What is it for N = 16?

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Digital Signal Processing

ISBN: ?978-0133737622

3rd Edition

Authors: Jonh G. Proakis, Dimitris G.Manolakis

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