Given a $4 \times 4$ image, find the linear predictive code. Find the entropies of the input and the code.
(i)
$$
\left[\begin{array}{llll}
15 & 16 & 20 & 20 \\
15 & 15 & 19 & 22 \\
15 & 16 & 19 & 20 \\
15 & 17 & 19 & 16
\end{array}\right]
$$
(ii)
$$
\left[\begin{array}{lllll}
158 & 157 & 154 & 149 \\
168 & 153 & 157 & 149 \\
170 & 152 & 157 & 149 \\
166 & 153 & 157 & 142
\end{array}\right]
$$
(iii)
$$
\left[\begin{array}{rrrr}
106 & 103 & 98 & 99 \\
121 & 122 & 108 & 93 \\
102 & 102 & 100 & 99 \\
100 & 101 & 102 & 96
\end{array}\right]
$$