Title
Laguerre-Volterra Filters Optimization Based on Laguerre Spectra
Abstract
New batch and adaptive methods are proposed to optimize the Volterra kernels expansions on a set of Laguerre functions. Each kernel is expanded on an independent Laguerre basis. The expansion coefficients, also called Fourier coefficients, are estimated in the MMSE sense or by applying the gradient technique. An analytical solution to Laguerre poles optimization is provided using the knowledge of the Fourier coefficients associated with an arbitrary Laguerre basis. The proposed methods allow optimization of both the Fourier coefficients and the Laguerre poles.
Year
DOI
Venue
2005
10.1155/ASP.2005.2874
EURASIP J. Adv. Sig. Proc.
Keywords
Field
DocType
Volterra filters, Laguerre basis, basis selection, nonlinear system identification
Kernel (linear algebra),Laguerre's method,Laguerre polynomials,Mathematical analysis,Volterra filters,Nonlinear system identification,Spectral line,Fourier series,System identification,Mathematics
Journal
Volume
Issue
ISSN
2005
17
1687-6180
Citations 
PageRank 
References 
11
0.93
13
Authors
3
Name
Order
Citations
PageRank
Alain Y. Kibangou19512.01
GéRard Favier251446.41
Moha M. Hassani3232.36