First, we will start by selecting the operating frequency for this FIR Filter. As we are only given a general transition region (0.2 $\pi$ to 0.23 $\pi$ rad/sample), I will assume that it is fair game ...

The data was processed using the script located in docs/matlab/main_filter_design.m. The results of the filter design are saved as images: For the 7th order filter ...