Implement the filter designed in Problem-1 using MATLAB. Plot the magnitude response as magnitude-only and in dB. Verify that the numerator and denominator coefficients match the hand-calculation and the desired specifications were satisfied. Next, redo this same problem by only changing the stopband gain to -80dB. Find the corresponding designs (Matlab only, no hand-calculation is needed) using Butterworth, Chebyshev and Elliptical approximations. Include plots to verify that specifications are matched (see examples in the slides and the matlab codes). = 1. Using the Bilinear Transform steps in Example-1 done in class, design a lowpass Butterworth digital filter that passes frequencies up to fp 1000Hz with minimum gain of -4dB, and stops frequencies from fs = 2200Hz with a maximum gain of -20dB. The sampling frequency is fs 8000Hz. Find the Butterworth Filter Order (= N), 3-dB Cutoff frequency, and the numerator and denominator coefficients of the H(2) by hand-calculation. =