Let x(t) be the continuous-time complex exponential signal x(t)=e^j ω0 t with fundamental frequency ω0 and fundamental period T0=2 π/ 60, Consider the discrete-time signal obtained by taking equally spaced samples of x(t) -that is, x[n]=x(n T)=e^j ω0 n T (a) Show that x[n] is periodic if and only if T / T0 is a rational number-wat is. if and only if some multiple of the sampling interval exactly equals a multiple of the period of x(t) (b) Suppose that x[n] is periodic-that is, that (T)/(T0)=(p)/
Let x(t) be the continuous-time complex exponential signal x(t)=e^j …
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