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
fDate :
5/1/1997 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
