Omega is a constant and theta is a random variable, Basic Statistics

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Omega is a constant and theta is a random variable

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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Basic Statistics: Omega is a constant and theta is a random variable

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Basic Statistics: Omega is a constant and theta is a random variable

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