Question: Let X(t) be a zero-mean, WSS process with correlation function Rx (T). Let Y(t) = X(t) cos(wt+ (), where 0 is a uniform random variable

Let X(t) be a zero-mean, WSS process with correlation function Rx (T). Let Y(t) = X(t) cos(wt+ (), where 0 is a uniform random variable in [-7, 7] and 0 is independent of the process X(t). (a) Find the correlation function of Y (t), Ry(t, t + T). (b) Find the cross-correlation function of X(t) and Y (t), RxY(t, t + T). (c) Is Y(t) WSS

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