Given the analog transfer function [H(s)=frac{1}{left(s^{2}+0.76722 s+1.33863 ight)(s+0.76722)},] design transfer functions corresponding to discrete-time filters using both

Given the analog transfer function

\[H(s)=\frac{1}{\left(s^{2}+0.76722 s+1.33863\right)(s+0.76722)},\]

design transfer functions corresponding to discrete-time filters using both the impulseinvariance method and the bilinear transformation. Choose \(\Omega_{\mathrm{s}}=12 \mathrm{rad} / \mathrm{s}\). Compare the resulting frequency responses with the one from the analog filter.