Apply the lowpass-to-highpass transformation to the filter designed in Exercise 6.4 and plot the resulting magnitude response.

Exercise 6.4

Design a lowpass Butterworth filter satisfying the following specifications:

\[\begin{aligned}A_{\mathrm{p}} & =0.5 \mathrm{~dB} \\A_{\mathrm{r}} & =40 \mathrm{~dB} \\\Omega_{\mathrm{p}} & =100 \mathrm{~Hz} \\\Omega_{\mathrm{r}} & =150 \mathrm{~Hz} \\\Omega_{\mathrm{s}} & =500 \mathrm{~Hz} .\end{aligned}\]