Question: A random sinusoidal signal is given by X(t) = sin(t +0) where 0 is a uniform random variable in the interval [0, 26). Let X

A random sinusoidal signal is given by X(t) =

A random sinusoidal signal is given by X(t) = sin(t +0) where 0 is a uniform random variable in the interval [0, 26). Let X = (X(t), X(t2), X(+3)) be samples of the signal taken at times t,t2 and t3. (a) the joint cdf of X in terms of the cd of 0 if t1 = 0, 12 = 7/2, 13 = . (b) Are X(t1), X(t2), X(+3) independent random variables for (a)? (c) If t2 = ti + 2/2, t3 = t + 7. Find the joint cdf of X. (d) Are X(t1), X(t2), X(+3) independent random variables for (C) ? (e) Is X(t) a wide sense stationary random process

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