A Simplicial Canonical Piecewise Linear Adaptive Filter

A new adaptive nonlinear filter realization is presented based on a canonical piecewise linear (CPWL) approach. This filter realization consists of a linear part represented by a finite impulse response filter and a zero-memory nonlinear part implemented as a CPWL map. The resultant structure requir...

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Bibliographic Details
Authors: Figueroa, Jose Luis, Cousseau, Juan Edmundo, de Figueiredo, R.J.P.
Format: article
Status:Published version
Publication Date:2004
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/104672
Online Access:http://hdl.handle.net/11336/104672
Access Level:Open access
Keyword:PIECEWISE
LINEAR
DYNAMIC
MODEL
https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
Description
Summary:A new adaptive nonlinear filter realization is presented based on a canonical piecewise linear (CPWL) approach. This filter realization consists of a linear part represented by a finite impulse response filter and a zero-memory nonlinear part implemented as a CPWL map. The resultant structure requires fewer parameters than other realizations found in the literature with comparable modeling capabilities. As a consequence, the proposed nonlinear filter, in addition to its simple description, has low computation and implementation costs. Some results related to convergence properties and implementation of the adaptive algorithm associated to this new realization are presented. The performance of the proposed filter is illustrated through simulation examples.