MATLAB - Filters design (DSP)

Different methods to design a filters that satisfy five gain specifications (note that gains are specified in dB): For each of the following design methods, find the minimum length filter that meets the specifi-cations. Demonstrate graphically that your filter satisfies the given specifications (i.e., show plots that zoom in on the various transition regions with a grid). 1. Windowing method (you can use any window) 2. Frequency sampling method 3. Matlab’sfir1algorithm. 4. Parks-McClellan algorithm (firpm). 5. Parallel combination of elliptical IIR filters. For this last approach, plot the phase responseand group delay of your design, and discuss the resulting phase distortion of the filter.