Letbe a wide sense stationary gaussian random process and, Ask an Expert

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Letbe a wide sense stationary Gaussian random process and form a new process according to Y(t) = X(t) cos (ωt + θ) where ω is a constant and θ is a random variable uniformly distributed over (0, 2π) and independent of x(t).

(a) Is Y(t) wide sense stationary?

(b) a Gaussian random process?

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