Design two interpolation filters, one lowpass and the other multiband (Equation (8.22)), with specifications

\[\begin{aligned}& \delta_{\mathrm{p}}=0.0002 \\& \delta_{\mathrm{r}}=0.0001 \\& \Omega_{\mathrm{s}}=10000 \mathrm{rad} / \mathrm{s} \\& L=10\end{aligned}\]

Assume that we are interested in the information within \(0 \leq \Omega \leq 0.2 \Omega_{\mathrm{s}}\). Compare the computational efficiency of the resulting filters.

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[L, [0,wp/L] H(e) = 0, [(2k-wp)/L, (2k+wp)/L], k = 1,2,...,L-1. (8.22)