6-10 Given the random process X(1) = A sin (w.l + O) where A and wo ure constants and © is a random variable uniformly distributcd on the interval (-n, n). Deline a new random process Y(1) = X'(1)....

Extracted text: 6-10 Given the random process X(1) = A sin (w.l + O) where A and wo ure constants and © is a random variable uniformly distributcd on the interval (-n, n). Deline a new random process Y(1) = X'(1). (a) Find the autocorrelation funetion of Y(t). (b) Find the cross-correlation function of X(t) and Y(1). (c) Are X(1) and Y(1) wide-sense stationary? (d) Are X(1) and Y(1) jointly wide-sense stationary?