A wide sense stationary random process with average power

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X(t)is a wide sense stationary random process with average power equal to 1. Let ? denote a random variable with uniform distribution over [0, 2π] such that X(t) and  ? are independent.

(a) What is E[X2(t)]?

(b) What is E[cos(2π fct +?)]?

(c) Let Y(t) = X(t) cos(2π fct +?). What is E[Y(t)]?

(d) What is the average power of Y(t)?

Reference no: EM131083612

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