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.