Wavelets for nonlinear systems

Auteur: François Chaplais, 37th IEEE Conference on Decision and Control, Vol. 2, pp. 1440 - 1445, 16-18 Dec 1998, Tampa, USA DOI: 10.1109/CDC.1998.758489
We investigate how the structure of multiresolution approximations, which are intimately related to wavelets, can be preserved through the use of a product operator. It appears that the dilatation or subsampling operator is best replaced by a smoothing operator at the nodes. Examples of related “wavelets” are given
Download PDF - clean version
BibTeX
@Proceedings{,
author = {Chaplais, François},
editor = {},
title = {Wavelets for nonlinear systems},
booktitle = {37th IEEE Conference on Decision and Control},
volume = {2},
publisher = {},
address = {Tampa},
pages = {1440 - 1445},
year = {1998},
abstract = {We investigate how the structure of multiresolution approximations, which are intimately related to wavelets, can be preserved through the use of a product operator. It appears that the dilatation or subsampling operator is best replaced by a smoothing operator at the nodes. Examples of related “wavelets” are given},
keywords = {Algebra, Control systems, Interpolation, Nonlinear control systems, Nonlinear systems, Polynomials, Signal analysis, Signal resolution, Smoothing methods, Time varying systems}}