# Question

Let X (t) be a random process whose PSD is shown in the accompanying figure. A new process is formed by multiplying by a carrier to produce X (t),

Y (t) = X (t) cos( ωot + θ)

Where θ is uniform over [0, 2π] and independent of . Find and sketch the PSD of the process Y (t).

Y (t) = X (t) cos( ωot + θ)

Where θ is uniform over [0, 2π] and independent of . Find and sketch the PSD of the process Y (t).

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