Q. Consider a white Gaussian noise process π(π‘) with two-sided power spectral density ππ (π) = 0.5 W/Hz as input to a filter with impulse response 0.5πβπ‘2/2Β Β (where π‘ is in seconds) resulting in output π(π‘). The power in π(π‘) in watts is
(A) 0.11Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β (B) 0.22Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β (C) 0.33Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β Β (D) 0.44
Ans: 0.22Β Β
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