Suppose a signal $()$ with power spectral density

$()1$

$54$

is corrupted with additive white noise $()$ with a power spectral desnsity $($

x

v

x t

S s s

s s

v t 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

c

$$

orrupted signal.