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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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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