A signal with power spectral density
$$
|X(k)|^2=\{0,0,0,16,0,16,0,0\}
$$
has been blurred by a process with finite impulse response
$$
\left\{h_d(0)=0.5, h_d(1)=0.5\right\}
$$
and corrupted by an additive Gaussian noise with power spectral density
$$
\{0.0772,0.0694,0.0930,0.0001,0.0545,0.0001,0.0930,0.0694\}
$$
The samples of the degraded signal are
$$
y(n)=\{0.1272,0.2353,-0.4300,0.2133,-0.2887,-0.0976,0.3358,-0.3732\}
$$
Restore the true signal using the Wiener filter.