Stable adaptive filter and method

H - Electricity – 03 – H

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H03H 21/00 (2006.01)

Patent

CA 2318929

Stable adaptive filter and method are disclosed. The invention solves a problem of instability associated with Fast Affine Projection adaptive filters caused by error accumulation in an inversion process of an auto-correlation matrix. The Stable FAP provides updating of the adaptive filter coefficients by solving at least one system of linear equations, whose coefficients are the auto-correlation matrix coefficients, by using one of the descending iterative methods having an inherent stability of operation due to intrinsic feedback adjustment. The results of the solution are used to update the filter coefficients. The above approach is applicable for any value of a normalized step size ranging from zero to unity. It allows either direct determining of an updating part of the filter coefficients without determining an inverse auto-correlation matrix, or determining the inverse auto-correlation matrix by descending iterative methods.

L'invention concerne un procédé et un filtre adaptatif stable. L'invention résout le problème d'instabilité lié aux filtres adaptatifs de projection affine rapide et dû à une accumulation erronée dans un processus inverse par matrice d'autocorrélation. La projection affine rapide (FAP) stable permet la mise à jour des coefficients du filtre adaptatif par la résolution d'au moins un système d'équations linéaires dont les coefficients sont les coefficient de la matrice d'autocorrélation, à l'aide d'une des méthodes itératives descendantes ayant une stabilité inhérente de fonctionnement due à l'ajustement de réaction intrinsèque. Les résultats ainsi obtenus sont utilisés pour actualiser les coefficients du filtre. L'approche susmentionnée est applicable pour toute valeur comprise entre 0 et 1 avec un intervalle de taille normalisée. Ainsi on peut déterminer directement une partie de mise à jour des coefficients du filtre sans déterminer de matrice d'autocorrélation inverse, ou bien on peut déterminer la matrice d'autocorrélation inverse par des méthodes itératives descendantes.

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