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Diagonal Kernel Point Estimation ofth-Order Discrete Volterra-Wiener Systems

Abstract

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 theth order. Their efficiency is demonstrated by simulations conducted on discrete Volterra systems up to fifth order.

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Correspondence to Massimiliano Pirani.

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Pirani, M., Orcioni, S. & Turchetti, C. Diagonal Kernel Point Estimation ofth-Order Discrete Volterra-Wiener Systems. EURASIP J. Adv. Signal Process. 2004, 145457 (2004). https://doi.org/10.1155/S1110865704403011

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Keywords and phrases

  • nonlinear system identification
  • Wiener kernels
  • Volterra filtering