6-10 Given the random process X(1) = A sin (w.l + O) where A and wo ure constants and O is a random variable uniformly distributcd on the interval (-n, n). Define a new random procecss 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? (ad) Are X(1) and Y(1) jointly wide-sense stationary?

MATLAB: An Introduction with Applications
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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?
Transcribed Image 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?
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