Question: Let X(t) be a zero-mean WSS process with RX() = e||. X(t) is input to an LTI system with Let Y (t) be the output.

Let X(t) be a zero-mean WSS process with RX(τ) = e−|τ|. X(t) is input to an LTI system with|H(f)| = = 1+4 f 0 |f| < 2 otherwise

Let Y (t) be the output.

a. Find μY (t) = E[Y(t)].

b. Find RY (τ).

c. Find E[Y (t)2].

|H(f)| = = 1+4 f 0 |f| < 2 otherwise

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