The power spectral density of a random process X (t) is shown in Figure. It contains of a delta function at f = 0 and a triangular component.
(a) Determine and sketch the autocorrelation function RX (t) of X (t).
(b) What is the DC power contained in X (t)?
(c) What is the AC power contained in X (t)?
(d) What sampling rates will give uncorrelated samples of X (t)? Are the samples statistically independent?