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?

Transcribed Image Text:

Low-pass filter HAf) Band-pass filter нр 1.0 1.0 White noise Output nte) cos (2af,0 28 la) (6)