S 4. (22 Pts - 11 Pts each) Filter Response to White Noise Zero-mean white noise X(t) with power spectral density Sx (W) = So = 6 enters a filter with the transfer function H (8) +3s + 2 (s +1) (3+2) (a) Find the power gain of the filter | H (w)? = H (w) H(W) and the PSD Sy (w) of the output Y (t). (b) Find the autocorrelation Ry (T) and average power Py of the output