A continuous-time sinusoid xa(t) with fundamental period Tp = 1/F0 is sampled at a rate Fs = 1/ T to produce a discrete-time sinusoid x (n) = xp(nT).
(a) Show that x (n) is periodic if T/Tp=k/N (i.e., T/Tp is a rational number).
(b) If x (n) is periodic, what is its fundamental period Tp in seconds?
(c) Explain the statement: x (n) is periodic if its fundamental period Tp„ in seconds, is equal to an integer number of periods of xa(t).
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