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Published in:
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2015 | OriginalPaper | Chapter

3. Output Frequency Characteristics of Nonlinear Systems

Authors : Xingjian Jing, Ziqiang Lang

Published in: Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion

Publisher: Springer International Publishing

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Abstract

Some interesting properties of output frequencies of Volterra-type nonlinear systems are particularly investigated. These results provide a very novel and useful insight into the super-harmonic and inter-modulation phenomena in output frequency response of nonlinear systems, with consideration of the effects incurred by different nonlinear components in the system. The new properties theoretically demonstrate several fundamental output frequency characteristics and unveil clearly the mechanism of the interaction (or coupling effects) between different harmonic behaviors in system output frequency response incurred by different nonlinear components. These results have significance in the analysis and design of nonlinear systems and nonlinear filters in order to achieve a specific output spectrum in a desired frequency band by taking advantage of nonlinearities. They can provide an important guidance to modeling, identification, control and signal processing by using the Volterra series theory in practice.

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previous chapter The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems
next chapter Parametric Characteristic Analysis
Literature
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Metadata
Title
Output Frequency Characteristics of Nonlinear Systems
Authors
Xingjian Jing
Ziqiang Lang
Copyright Year
2015
Book
Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion

Print ISBN: 978-3-319-12390-5

Electronic ISBN: 978-3-319-12391-2

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-12391-2_3