With the requirements of the passband frequency on, the flutter & and the stop-band frequency 0, the clipping on It is desired to design a low-pass digital filter according to a = 0.25T , 0 = 0.35m rad/s and d = 0.15, 82 = 0.05. = 9 a) Show the filter characteristics. b) Design a linear phase FIR filter with rectangular and Hamming window approaches. Explain step by step the approachesused. Show that the filter coefficients you designed meet the requirements by obtaining the frequency response of the filter. c) Obtain a digital filter from an analog filter by using Butterworth approximations showing the same properties. Digitize with the Tustin approach