This article is part of the series Nonlinear Signal and Image Processing—Part I.

Open Access Research Article

Diagonal Kernel Point Estimation of th-Order Discrete Volterra-Wiener Systems

Massimiliano Pirani*, Simone Orcioni and Claudio Turchetti

Author Affiliations

Dipartimento di Elettronica, Intelligenza artificiale e Telecomunicazioni, Università Politecnica delle Marche, Via Brecce Bianche 12, Ancona 60131, Italy

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EURASIP Journal on Advances in Signal Processing 2004, 2004:145457  doi:10.1155/S1110865704403011


The electronic version of this article is the complete one and can be found online at: http://asp.eurasipjournals.com/content/2004/12/145457


Received: 1 September 2003
Revisions received: 18 February 2004
Published: 29 September 2004

© 2004 Pirani et al.

The estimation of diagonal elements of a Wiener model kernel is a well-known problem. The new operators and notations proposed here aim at the implementation of efficient and accurate nonparametric algorithms for the identification of diagonal points. The formulas presented here allow a direct implementation of Wiener kernel identification up to the th order. Their efficiency is demonstrated by simulations conducted on discrete Volterra systems up to fifth order.

Keywords:
nonlinear system identification; Wiener kernels; Volterra filtering

Research Article