Q$10$: A signal estimation problem is illustrated in the diagram below, where the observed

input sequence is $x_k$ and the desired $($ideal$)$ signal is $y_k,$ such that

${}_k$ is a noise sequence of power $=0\mathrm{.}1,$ and the estimation filter is of order $2($i$.$e$.$ it has two

coefficients$).$

Calculate: a$).$ The $22$ autocorrelation matrix $R_{xx}$

b$).$ The $1x2$ cross$-$correlation matrix $R_{yx}$

c$).$ The optimum Wiener filter coefficients for this case.