Consider a two-channel filter bank made from the Haar wavelet filters (i.e., just one stage of the Haar wavelet transform). Let scalar quantizers be used for each of the two channels and let the source to be compressed be modeled as a WSS Gaussian zero-mean process with autocorrelation function defined by
\begin{equation*}
R_x[k] = \begin{cases}
10, & k = 0 \\
9.3, & k = \pm 1 \\
0, & \text{elsewhere}
\end{cases}
\end{equation*}
(a) (15 pts.) What is the coding gain of this two-band sub-band coding compression approach?