Question: 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

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.

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