A signal with power spectral density
$$
|X(k)|^2=\{0,0,16,0,0,0,16,0\}
$$
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
$$
\{0.0067,0.1671,0.1262,0.1311,0.1654,0.1311,0.1262,0.1671\}
$$
The samples of the degraded signal are
$$
y(n)=\{0.6544,0.5086,-0.6492,-0.5742,0.3938,0.7350,-0.5616,-0.4252\}
$$
Restore the true signal using the Wiener filter.