A white Gaussian noise N(t) with power spectral density of 10^-15 W/Hz is the input to the low-pass filter H(f) = 10^6 e^-10^6|f|. Find the following properties of the output Y(t): (a) The mean ?Y (b) The power spectral density SY(f) (c) The average power E[Y^2(t)] (d) P[Y(t) > 0.01]
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(a) The mean Uy: Since the input noise is white Gaussian noise with zero mean, the output mean will also be zero. Show more…
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