White Guassian noise of zero mean and power spectral density N0/2 is applied to the filtering scheme shown in Figure a. The frequency responses of these two filters are shown in Figure b. The noise at the low-pass filter output is denoted by n (t).

(a) Find the power spectral density and the autocorrelation function of n (t).

(b) Find the mean and variance of n (t).

(c) What is the rate at which n (t) can be sampled so that the resulting samples are essentiallyuncorrelated?

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