For the high pass RC network shown, let X (t) A sin ( Iuml ct Icirc cedil ) N (t), where is white, WSS, Gaussian noise and Icirc cedil is a random variable uniformly distributed over 0, 2 Iuml Assuming zero initial conditions (a) Find the output mean and variance (b) Find and plot the autocorrelation function of the output (c) Find and plot the output PSD (d) Find the output SNR X(t)

Question: For the high- pass RC network shown, let X (t) = A sin (Ï ct + Î¸) + N (t), where is white, WSS, Gaussian

For the high- pass RC network shown, let X (t) = A sin (Ï‰ ct + Î¸) + N (t), where is white, WSS, Gaussian noise and Î¸ is a random variable uniformly distributed over [0, 2Ï€]. Assuming zero initial conditions:
(a) Find the output mean and variance.
(b) Find and plot the autocorrelation function of the output.
(c) Find and plot the output PSD.
(d) Find the output SNR.

X(t)

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