Analysis of Transient and Steady-State Behavior of a Multichannel Filtered-<it>x</it> Partial-Error Affine Projection Algorithm

1687-4722-2007-031314 1687-4722 Research Article Analysis of Transient and Steady-State Behavior of a Multichannel Filtered-<it>x</it> Partial-Error Affine Projection Algorithm CariniAlbertocarini@sti.uniurb.it SicuranzaGiovanni Lsicuranza@univ.trieste.it

Information Science and Technology Institute, University of Urbino "Carlo Bo", Urbino 61029, Italy

Department of Electrical, Electronic and Computer Engineering, University of Trieste, Trieste 34127, Italy

EURASIP Journal on Audio, Speech, and Music Processing 1687-4722 2007 2007 1 031314 http://asmp.eurasipjournals.com/content/2007/1/031314 10.1155/2007/31314 284200624112006271120061812007 2007A. Carini and G. L. Sicuranza.This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

The paper provides an analysis of the transient and the steady-state behavior of a filtered-x partial-error affine projection algorithm suitable for multichannel active noise control. The analysis relies on energy conservation arguments, it does not apply the independence theory nor does it impose any restriction to the signal distributions. The paper shows that the partial-error filtered-x affine projection algorithm in presence of stationary input signals converges to a cyclostationary process, that is, the mean value of the coefficient vector, the mean-square error and the mean-square deviation tend to periodic functions of the sample time.

Adaptive Partial-Update and Sparse System Identification

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