Pole-zero plot and frequency response from a transfer function 2
Draw the pole-zero plot and graph the frequency response for the system whose transfer function is
\mathrm{H}(z)={\frac{0.0686}{(z^{2}-1.087z+0.3132)(z^{2}-1.315z+0.6182)}}.
This transfer function can be factored into
\mathrm{H}(z)={\frac{0.0686}{(z-0.5435+j0.1333)(z-0.5435-j0.1333)(z-0.6575+j0.4312)(z-0.6575-j0.4312)}}.
The pole-zero diagram is illustrated in Figure 9.18. The magnitude and phase frequency responses of the system are illustrated in Figure 9.19.