Consider a white Gaussian noise process N(𝑡) with two-sided power spectral density SN(f) = 0.5 W/Hz as input to a filter with impulse response \(0.5\;{e^{ - {t^2}/2}}\)(𝑡 is in seconds) resulting in output Y(t). The power in Y(t), in watts, will be:

1
0.11
2
0.22
3
0.33
4
0.44

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