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  • Research Article
  • Open Access

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

  • Massimiliano Pirani1Email author,
  • Simone Orcioni1 and
  • Claudio Turchetti1
EURASIP Journal on Advances in Signal Processing20042004:145457

Received: 1 September 2003

Published: 29 September 2004


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 and phrases

nonlinear system identificationWiener kernelsVolterra filtering

Authors’ Affiliations

Dipartimento di Elettronica, Intelligenza artificiale e Telecomunicazioni, Università Politecnica delle Marche, Ancona, Italy


© Pirani et al. 2004