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
Published in:
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
(Volume:44
,
Issue:
5
)
Date of Publication: May 1997