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Let X be a white Gaussian noise process with spectral power dewody (PSD) Gx(f) = No/2, which is input to a first-order Butterworth filter

Let X be a white Gaussian noise process with spectral power dewody (PSD) Gx(f) = No/2, which is input to a first-order Butterworth filter with a 3-dB cutoff frequency . The transfer function is given by : | H(f) = J = 1+j (f/fc) Find the output power spectral dewrity Gy (f) and autocarrelation function | Ry (6) Determine the average output power J.

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