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  • Research Article
  • Open Access

A Robust Orthogonal Adaptive Approach to SISO Deconvolution

EURASIP Journal on Advances in Signal Processing20042004:952720

Received: 3 April 2003

Published: 5 October 2004


This paper formulates in a common framework some results from the fields of robust filtering, function approximation with orthogonal basis, and adaptive filtering, and applies them for the design of a general deconvolution processor for SISO systems. The processor is designed to be robust to small parametric uncertainties in the system model, with a partially adaptive orthogonal structure. A simple gradient type of adaptive algorithm is applied to update the coefficients that linearly combine the fixed robust basis functions used to represent the deconvolver. The advantages of the design are inherited from the mentioned fields: low sensitivity to parameter uncertainty in the system model, good numerical and structural behaviour, and the capability of tracking changes in the systems dynamics. The linear equalization of a simple ADSL channel model is presented as an example including comparisons between the optimal nominal, adaptive FIR, and the proposed design.

Keywords and phrases

SISO deconvolutionrobust filtersorthogonal basisadaptive filters

Authors’ Affiliations

Departamento de Ingeniería Eléctrica y de Computadoras, Universidad Nacional del Sur, Bahía Blanca, Argentina
Facultad de Ingeniería, Universidad Nacional de La Plata, Comisión de Investigaciones Científicas de la Provincia de Buenos Aires (CIC), La Plata, Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Cdad, Buenos Aires, Argentina


© Doñate et al. 2004