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2015 | OriginalPaper | Chapter

2. The Generalized Frequency Response Functions and Output Spectrum 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

The computation of the GFRFs and/or output spectrum for a given nonlinear system described by NARX, NDE or Block-oriented models is a fundamental task for nonlinear analysis in the frequency domain. This chapter summarizes the results for the computation of the GFRFs and output spectrum for several frequently-used parametric models, and shows it clearly that the GFRFs are explicit functions of model parameters and can be regarded as an important extension of the transfer function concept for linear systems.

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Title: The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems
Authors: Xingjian Jing
Ziqiang Lang
Publisher: Springer International Publishing
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_2