Repeat Exercise 6.13 using \(\Omega_{\mathrm{s}}=24 \mathrm{rad} / \mathrm{s}\) and compare the results achieved in each case.

Exercise 6.13

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.