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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.

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Correspondence to Alain Y. Kibangou.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kibangou, A.Y., Favier, G. & Hassani, M.M. Laguerre-Volterra Filters Optimization Based on Laguerre Spectra. EURASIP J. Adv. Signal Process. 2005, 391385 (2005). https://doi.org/10.1155/ASP.2005.2874

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Keywords and phrases

  • Volterra filters
  • Laguerre basis
  • basis selection
  • nonlinear system identification