Show that when the poles of a second-order section with transfer function [H(z)=d+frac{gamma_{1} z+gamma_{2}}{z^{2}+m_{1} z+m_{2}}] are complex

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Show that when the poles of a second-order section with transfer function

\[H(z)=d+\frac{\gamma_{1} z+\gamma_{2}}{z^{2}+m_{1} z+m_{2}}\]
are complex conjugate, then the parameter \(\sigma\) defined in Equation (13.74) is necessarily real.

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Related Book For  answer-question

Digital Signal Processing System Analysis And Design

ISBN: 9780521887755

2nd Edition

Authors: Paulo S. R. Diniz, Eduardo A. B. Da Silva , Sergio L. Netto

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