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  • Research Article
  • Open Access

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

  • 1Email author,
  • 1 and
  • 1
EURASIP Journal on Advances in Signal Processing20042004:145457

  • Received: 1 September 2003
  • Published:


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 identification
  • Wiener kernels
  • Volterra filtering

Authors’ Affiliations

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


© Pirani et al. 2004