Question: A random process X (t) is defined by X (t) = A cos (2? f c t), where A is a Gaussian-distributed random variable of

A random process X (t) is defined by X (t) = A cos (2? f c t), where A is a Gaussian-distributed random variable of zero means variance ?2A. This random process is applied to an ideal integrator, producing the output

(a) Determine the probability density function of the output Y (t) at a particular time tk.

(b) Determine whether or not Y (t) is stationary.

= X(-) dr Y(t)

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a The integrator output at time t is Yt XT dT 0 A cos2ft dr 0 Therefore A E Y t sin2 ft sin2nf t 2... View full answer

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