Design a two-band perfect reconstruction filter bank using the CQF design satisfying the following specifications:

\[\begin{aligned}\delta_{\mathrm{p}} & =0.05 \\\delta_{\mathrm{r}} & =0.05 \\\Omega_{\mathrm{p}} & =0.45 \frac{\Omega_{\mathrm{s}}}{2}\end{aligned}\]

\[\begin{aligned}& \Omega_{\mathrm{r}}=0.55 \frac{\Omega_{\mathrm{s}}}{2} \\& \Omega_{\mathrm{s}}=2 \pi \mathrm{rad} / \mathrm{s} .\end{aligned}\]