A wide sense stationary gaussian noise process

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Let W(t) denote a wide sense stationary Gaussian noise process with µW = 0 and power spectral density SW ( f ) = 1.

(a) What is RW (τ ), the autocorrelation of W(t)?

(b) W(t) is the input to a linear time-invariant filter with impulse response

The filter output is Y(t). What is the power spectral density function of Y(t)?

(c) What is the average power of Y(t)?

(d) What is the expected value of the filter output?

Reference no: EM131083355

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