1. (10 points) A digital filter has fourteen poles at P=[0,0,0,0,0,0,0,0,0,0,0,0,0,0]; and fourteen zeros at Z = [ -2.3034 + 5.4372i -2.3034 5.4372i 2.2393 + 0.9565i 2.2393 - 0.9565i -2.2894 + 0.0000i -0.2251 + 1.2711i -0.2251 1.2711i -0.1351 + 0.7628i -0.1351 0.7628i 0.3777 + 0.1613i 0.3777 0.1613i -0.4368 + 0.0000i -0.0661 + 0.1559i -0.0661 - 0.1559i].'; (a) Plot the pole-zero diagram of this filter. (b) Find b0 and the transfer function H(z) of this filter with b0 multiplied. (c) Plot the magnitude response (HO)] = |H(@j) of this filter for 0 so SA. (d) Find the numerical values of H(O) for 6 = 0, 0 = 1/2, 0 = . (e) What type (LPF, HPF, BPF, BSF) of filter is this? 1. (10 points) A digital filter has fourteen poles at P=[0,0,0,0,0,0,0,0,0,0,0,0,0,0]; and fourteen zeros at Z = [ -2.3034 + 5.4372i -2.3034 5.4372i 2.2393 + 0.9565i 2.2393 - 0.9565i -2.2894 + 0.0000i -0.2251 + 1.2711i -0.2251 1.2711i -0.1351 + 0.7628i -0.1351 0.7628i 0.3777 + 0.1613i 0.3777 0.1613i -0.4368 + 0.0000i -0.0661 + 0.1559i -0.0661 - 0.1559i].'; (a) Plot the pole-zero diagram of this filter. (b) Find b0 and the transfer function H(z) of this filter with b0 multiplied. (c) Plot the magnitude response (HO)] = |H(@j) of this filter for 0 so SA. (d) Find the numerical values of H(O) for 6 = 0, 0 = 1/2, 0 = . (e) What type (LPF, HPF, BPF, BSF) of filter is this