DocumentCode
1464272
Title
On the structure of nonlinear polynomial models: higher order correlation functions, spectra, and term clusters
Author
Aguirre, Luis Antonio
Author_Institution
Centro de Pesquisa e Desenvolvimento em Engenharia Eletrica, Univ. Federal de Minas Gerais, Belo Horizonte, Brazil
Volume
44
Issue
5
fYear
1997
fDate
5/1/1997 12:00:00 AM
Firstpage
450
Lastpage
453
Abstract
A framework is established which relates the structure of nonlinear polynomial models to the dynamical properties of the estimation data. Such a framework uses the concepts of term clusters, higher order correlation functions and higher order spectra. The results discussed offer a new way of understanding and interpreting term clusters in structure selection problems for nonlinear polynomial models. A numerical example which uses real data is included to illustrate the new results
Keywords
correlation theory; identification; nonlinear systems; polynomials; signal processing; dynamical properties; estimation data; higher order correlation functions; higher order spectra; nonlinear polynomial models; structure selection problems; term clusters; Background noise; Bifurcation; Chaos; Delay estimation; Nonlinear systems; Polynomials; Sampling methods; Signal analysis; Signal processing; Tellurium;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.572342
Filename
572342
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