Consider a continuous-time random process x_c(t) with a band limited power density spectrum P_xcxc?(?) as depicted in Figure. Suppose that we sample x_c(t) to obtain the discrete-time random process x[n] = x_c(nT).

(a) What is the autocorrelation sequence of the discrete-time random process?

(b) For the continuous-time power density spectrum in Figure, how should T be chosen so that the discrete-time process is white, i.e., so that the power spectrum is constant for all ???

(c) If the continuous-time power density spectrum is as shown in Figure, how should T be chosen so that the discrete-time process is white??

(d) What is the general requirement on the continuous-time process and the sampling period such that the discrete-time process is white?

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