Diagonal Kernel point estimation of nth-order discrete Volterra-Wiener systems

Authors:
Massimiliano Pirani;Simone Orcioni;Claudio Turchetti
Affiliations:
Dipartimento di Elettronica, Intelligenza artificiale e Telecomunicazioni, Università Politecnica delle Marche, Ancona, Italy;Dipartimento di Elettronica, Intelligenza artificiale e Telecomunicazioni, Università Politecnica delle Marche, Ancona, Italy;Dipartimento di Elettronica, Intelligenza artificiale e Telecomunicazioni, Università Politecnica delle Marche, Ancona, Italy
Venue:
EURASIP Journal on Applied Signal Processing
Year:
2004

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