Question: Consider a random process X(t) = A cos(0t + ), where A and 0 are constants, U(0, 2). Let Y (t) = X^2(t). (a) Find

Consider a random process X(t) = A cos(0t + ), where A and 0 are constants, U(0, 2). Let Y (t) = X^2(t). (a) Find the mean function of Y (t). (b) Find the autocorrelation function of Y (t).

(c) Find the crosscorrelation function of X(t) and Y (t). (d) Are X(t) and Y (t) wide-sense stationary? (e) Are X(t) and Y (t) jointly wide-sense stationary? Are they orthogonal?

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