The power spectral density of a random process x t is


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?

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Engineering Mathematics: The power spectral density of a random process x t is
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