Design a highpass filter using the frequency-response masking method satisfying the specifications in Exercise 12.9. Compare the results obtained with and without an efficient ripple margin distribution, with respect to the total number of multiplications per output sample, with the results obtained in Exercise 12.9.

Exercise 12.9.

Design a highpass filter using the minimax method satisfying the following specifications:

\[\begin{aligned}A_{\mathrm{p}} & =0.8 \mathrm{~dB} \\A_{\mathrm{r}} & =40 \mathrm{~dB} \\\Omega_{\mathrm{r}} & =5000 \mathrm{~Hz} \\\Omega_{\mathrm{p}} & =5200 \mathrm{~Hz} \\\Omega_{\mathrm{s}} & =12000 \mathrm{~Hz} .\end{aligned}\]

Determine the corresponding lattice coefficients for the resulting filter using the command you created in Exercise 12.3. Compare the results obtained using the standard command tf2latt.

Exercise 12.3.

Write down a MatLab command that determines the FIR lattice coefficients from the FIR direct-form coefficients.