Problem 4. (30 pts.) Design a discrete IIR filter H(z) where z = enjw with the following magnitude profile as shown below, The filter should have a monotonic response to changes in frequency (no ripple in pass or stop band) use Bilinear transformation with sampling period of T = 1 sec for discrete to analog transformation and vice versa. (hint: use an impulse invariant method that converts the filter spec into analog spec, design your analog filter then convert it back using bilinear transformation into discrete filter) Just obtain: H(Z) zolog Hiela expression 10 ode dB 1 0.65R 0.31 0.75 10 0.451 Problem 4. (30 pts.) Design a discrete IIR filter H(z) where z = enjw with the following magnitude profile as shown below, The filter should have a monotonic response to changes in frequency (no ripple in pass or stop band) use Bilinear transformation with sampling period of T = 1 sec for discrete to analog transformation and vice versa. (hint: use an impulse invariant method that converts the filter spec into analog spec, design your analog filter then convert it back using bilinear transformation into discrete filter) Just obtain: H(Z) zolog Hiela expression 10 ode dB 1 0.65R 0.31 0.75 10 0.451