1. Suppose a signal x(1) with power spectral density 1-$2 S (s) = $4 -5s* +4 is corrupted with additive white noise v(t) with a power spectral desnsity S, (s) = 1. a) Find the optimal noncausal Wiener filter to extract the signal from the noise corrupted signal. b) Find the optimal causal Wiener filter to extract the signal from the noise corrupted signal