Find the cross-correlation and the correlation coefficients of $x(m, n)$ and $h(m, n)$. Assume zero-padding at the borders.
$$
h(m, n)=\left[\begin{array}{lll}
1 & 1 & 1 \\
3 & 1 & 0 \\
1 & 2 & 1
\end{array}\right]
$$
*(i)
$$
x(m, n)=\left[\begin{array}{llll}
2 & 1 & 3 & 2 \\
3 & 2 & 1 & 0 \\
1 & 2 & 1 & 2 \\
1 & 3 & 0 & 2
\end{array}\right]
$$
(ii)
$$
x(m, n)=\left[\begin{array}{llll}
3 & 1 & 1 & 2 \\
0 & 2 & 1 & 2 \\
1 & 1 & 1 & 2 \\
1 & 2 & 0 & 2
\end{array}\right]
$$
(iii)
$$
x(m, n)=\left[\begin{array}{llll}
1 & 2 & 3 & 0 \\
0 & 2 & 1 & 0 \\
2 & 2 & 1 & 2 \\
1 & 1 & 0 & 2
\end{array}\right]
$$