Abstract

Bode plots have proved to be an invaluable system analysis and design tool. Bode plot construction rules have been developed for rational functions in s = σ+ j, where s is restricted to lie on the imaginary axis as s = j. However, there are just as many analysis and design problems requiring s to lie on the real axis as s = σ. Unfortunately, no Bode plot construction methods have been developed for the real- s case. This paper develops these construction methods and relates them to the classical Bode plot methods. Several illustrative examples in networks, electronics, controls, communications and distributed systems are presented to demonstrate the importance and utility of these results.

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