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Stochastic analysis of an error power ratio scheme applied to the affine combination of two LMS adaptive filters

Bermudez, José Carlos Moreira and Bershad, Neil J. and Tourneret, Jean-Yves Stochastic analysis of an error power ratio scheme applied to the affine combination of two LMS adaptive filters. (2011) Signal Processing, 91 (11). 2615-2622. ISSN 0165-1684

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Official URL: http://dx.doi.org/10.1016/j.sigpro.2011.05.017


The affine combination of two adaptive filters that simultaneously adapt on the same inputs has been actively investigated. In these structures, the filter outputs are linearly combined to yield a performance that is better than that of either filter. Various decision rules can be used to determine the time-varying parameter for combining the filter outputs. A recently proposed scheme based on the ratio of error powers of the two filters has been shown by simulation to achieve nearly optimum performance. The purpose of this paper is to present a first analysis of the statistical behavior of this error power scheme for white Gaussian inputs. Expressions are derived for the mean behavior of the combination parameter and for the adaptive weight mean-square deviation. Monte Carlo simulations show good to excellent agreement with the theoretical predictions.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://dx.doi.org/10.1016/j.sigpro.2011.05.017
HAL Id:hal-03545419
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > University of California - UCIrvine (USA)
Other partners > Universidade Federal de Santa Catarina - UFSC (BRAZIL)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Laboratoire de recherche en télécommunications spatiales et aéronautiques - TéSA (FRANCE)
Laboratory name:
Deposited On:09 Feb 2012 13:55

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