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Properties of Positive Real Functions

JULIUS O. SMITH III

Center for Computer Research in Music and Acoustics (CCRMA)
Department of Music, Stanford University, Stanford, California 94305 USA

Abstract:

The purpose of this note is to develop facts about positive real transfer functions for discrete-time linear systems, i.e., in the $ z$ plane. Positive real functions arise naturally as the impedance functions of passive continuous-time systems.

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``Properties of Positive Real Functions'', by Julius O. Smith III, from ``Techniques for Digital Filter Design and System Identification, with Application to the Violin,'' Julius O. Smith III, Ph.D. Dissertation, CCRMA, Department of Electrical Engineering, Stanford University, June 1983.
Copyright © 2009-12-01 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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