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On the structure of nonlinear polynomial models: higher order correlation functions, spectra, and term clusters

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1 Author(s)
Aguirre, L.A. ; Centro de Pesquisa e Desenvolvimento em Engenharia Eletrica, Univ. Federal de Minas Gerais, Belo Horizonte, Brazil

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

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:44 ,  Issue: 5 )