Question: In this problem. the degrees of the numerator and denominator polynomials are different, so there should be zeros (or poles) at z = 0 or z = ∞. Determine the poles and zeros of the following filters:
Plot the positions of the poles and zeros in the z-plane. In all cases, make sure that the number of poles and zeros is the same, by allowing zeros (or poles) at z = ∞ or z = 0.