Question: A stationary, Guassian process X (t) with zero and power spectral density Sx (f) is applied to a linear filter whose impulse response b (t)

A stationary, Guassian process X (t) with zero and power spectral density Sx (f) is applied to a linear filter whose impulse response b (t) is shown in Figure. A sample Y is taken if the random process at the filter at time T.

(a) Determine the mean and variance of Y.

(b) What is the probability density function ofY?

A stationary, Guassian process X (t) with zero and power spectral density

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