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Question 9.9: Pole-zero plot and frequency response from a transfer functi......

Pole-zero plot and frequency response from a transfer function 1

Draw the pole-zero plot and graph the frequency response for the system whose transfer function is

\mathrm{H}(z)={\frac{z^{2}-0.96z+0.9028}{z^{2}-1.56z+0.8109}}.

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The transfer function can be factored into

\mathrm{H}(z)={\frac{(z-0.48+j0.82)(z-0.48-j0.82)}{(z-0.78+j0.45)(z-0.78-j0.45)}}.

The pole-zero diagram is in Figure 9.16.

The magnitude and phase frequency responses of the system are illustrated in Figure 9.17

6.16
9.17

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