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Forums
Engineering
Electrical Engineering
Discrete-time Signal & Periodicity condition
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[QUOTE="wirefree, post: 6201573, member: 81112"] [B]TL;DR Summary:[/B] I seek a clarification on the periodicity of discrete-time (DT) signals. Namaste I seek a clarification on the periodicity condition of discrete-time (DT) signals. As stated in Oppenheim’s Signals & Systems, for a DT signal, for example the complex exponential, to be periodic, i.e. e[SUP]j*w(n+N)[/SUP] = e[SUP]j*w*n[/SUP], w/2*pi = m/N, where m/N must be a rational number. Above is simply to satisfy the condition that e[SUP]j*w*N[/SUP] = 1. Please help me see why m=9, N=3, and, thereby, m/N = 3, which is not a rational number, yet still yielding 1 for e[SUP]j*2*pi*9[/SUP], not be considered a valid instance of a periodic discrete-time signal. Would greatly appreciate a refutation and a chance to stand corrected. Thank you. [/QUOTE]
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Forums
Engineering
Electrical Engineering
Discrete-time Signal & Periodicity condition
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