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Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion pp 9–30Cite as

The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems

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Part of the book series: Understanding Complex Systems ((UCS))

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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Authors and Affiliations

  1. The Hong Kong Polytechnic University, Hong Kong, PR China

    Xingjian Jing

  2. The University of Sheffield, Sheffield, UK

    Ziqiang Lang

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  1. Xingjian Jing
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  2. Ziqiang Lang
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Jing, X., Lang, Z. (2015). The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems. In: Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-12391-2_2

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  • DOI: https://doi.org/10.1007/978-3-319-12391-2_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12390-5

  • Online ISBN: 978-3-319-12391-2

  • eBook Packages: EngineeringEngineering (R0)

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