7 - LK norm adaptive transversal filters

Abstract

A whole family of Lk norm adaptive transversal filters is introduced and analyzed, in the context of plant identification, under hypotheses that are validated by simulation results . The analysis allows to establish general convergence conditions and to compare the performance of the elements of the family from the point of view of their speed of convergence-degree of convergence (final residual error variance) compromise ; the results of these comparisons depend on the plant noise distribution characteristics . The deterministic optimization of the adaption step is also formulated and evaluated by means of simulation . Finally, open research lines in this area are indicated.Analyse complète de filtres transversaux adaptatifs avec norme LK pour l'identification des systèmes. Cet analyse permet d'établir les conditions générales de convergenc