Correlation Techniques for the Identification of Non-Linear Systems

The Volterra series expansion of the response of a non-linear system is described, along with its counterpart in the frequency domain. Cross-correlation methods for identifying the kernel functions which occur in this expansion are reviewed, with particular emphasis on techniques for obtaining the l...

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Main Authors: R. J. Simpson, H. M. Power
Format: Article
Language:English
Published: SAGE Publishing 1972-08-01
Series:Measurement + Control
Online Access:https://doi.org/10.1177/002029407200500802
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spelling doaj-9a4ae11d3374429588ef01c72a80a00c2020-11-25T02:59:00ZengSAGE PublishingMeasurement + Control0020-29401972-08-01510.1177/002029407200500802Correlation Techniques for the Identification of Non-Linear SystemsR. J. Simpson0H. M. Power1 Senior Lecturer in the Department of Electrical and Electronic Engineering, Preston Polytechnic, Preston, Lancs Professor of Control Engineering in the Department of Electrical Engineering, University of SalfordThe Volterra series expansion of the response of a non-linear system is described, along with its counterpart in the frequency domain. Cross-correlation methods for identifying the kernel functions which occur in this expansion are reviewed, with particular emphasis on techniques for obtaining the linear approximant to a non-linear system. Some recent work which appears to be unrelated to the Volterra approach is also discussed.https://doi.org/10.1177/002029407200500802
collection DOAJ
language English
format Article
sources DOAJ
author R. J. Simpson
H. M. Power
spellingShingle R. J. Simpson
H. M. Power
Correlation Techniques for the Identification of Non-Linear Systems
Measurement + Control
author_facet R. J. Simpson
H. M. Power
author_sort R. J. Simpson
title Correlation Techniques for the Identification of Non-Linear Systems
title_short Correlation Techniques for the Identification of Non-Linear Systems
title_full Correlation Techniques for the Identification of Non-Linear Systems
title_fullStr Correlation Techniques for the Identification of Non-Linear Systems
title_full_unstemmed Correlation Techniques for the Identification of Non-Linear Systems
title_sort correlation techniques for the identification of non-linear systems
publisher SAGE Publishing
series Measurement + Control
issn 0020-2940
publishDate 1972-08-01
description The Volterra series expansion of the response of a non-linear system is described, along with its counterpart in the frequency domain. Cross-correlation methods for identifying the kernel functions which occur in this expansion are reviewed, with particular emphasis on techniques for obtaining the linear approximant to a non-linear system. Some recent work which appears to be unrelated to the Volterra approach is also discussed.
url https://doi.org/10.1177/002029407200500802
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