at in = 3. (6 pts) A lowpass digital filter with passband edge wp = /3 and stopband edge w, 2/3 is required in an application. It is obtained from a standard analog lowpass Butterworth filter, with magnitude response |H.(j)=(1+2)-1/2, by applying a bilinear transform s= cwith parameter c = 1. Let H(2) denote the transfer function of the filter and h[n] its impulse response. It is required that the magnitude response |H(e) should be less than 1/10 in the frequency band 2/3 ≤w≤π. (a) Determine the minimum filter order n required. Give a rough sketch of the magnitude response |H(e) for w, showing its values at w = w.. (b) Sketch the magnitude of the frequency response of the system with transfer function G(z) = H(-2).