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1.4 (a) Show that the fundamental period Np of the signals Sk(n) = ei2xkn/N k = 0, 1, 2,.. is given by N,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?

1.4 (a) Show that the fundamental period Np of the signals Sk(n) = ei2xkn/N k = 0, 1, 2,.. is given by N,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?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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1.4 (a) Show that the fundamental period Np of the signals Sk(n) = ei2xkn/N k = 0, 1, 2,.. is given by N,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?
Transcribed Image Text:1.4 (a) Show that the fundamental period Np of the signals Sk(n) = ei2xkn/N k = 0, 1, 2,.. is given by N,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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