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On convergence of the auxiliary-vector beamformer with rank-deficient covariance matrices

Besson, Olivier and Montesinos, Julien and Larue de Tournemine, Cécile On convergence of the auxiliary-vector beamformer with rank-deficient covariance matrices. (2009) IEEE Signal Processing Letters, vol. 1 (n° 4). pp. 249-252. ISSN 1070-9908

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Official URL: http://dx.doi.org/10.1109/LSP.2009.2014105

Abstract

The auxiliary-vector beamformer is an algorithm that generates iteratively a sequence of beamformers which, under the assumption of a positive definite covariance matrix R, converges to the minimum variance distortionless response beamformer, without resorting to any matrix inversion. In the case where R is rank-deficient, e.g., when R is substituted for the sample covariance matrix and the number of snapshots is less than the number of array elements, the behavior of the AV beamformer is not known theoretically. In this letter, we derive a new convergence result and show that the AV beamformer weights converge when R is rank-deficient, and that the limit belongs to the class of reduced-rank beamformers.

Item Type:Article
Additional Information:Thanks to IEEE. The original PDF can be found on the IEEE Signal Processing Letters website : http://ieeexplore.ieee.org/search/wrapper.jsp?arnumber=4781953
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National des Etudes Spatiales - CNES
Université de Toulouse > Ecole Nationale de l'Aviation Civile - ENAC
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
Other partners > Rockwell Collins (FRANCE)
Other partners > Thales (FRANCE)
Other partners > Telecom ParisTech (FRANCE)
Other partners > Direction Générale de l’Aviation Civile - DGAC (FRANCE)
Laboratory name:
Département d'Electronique, Optronique et Signal - DEOS (Toulouse, France) - Signal, Communication, Antenne et Navigation - SCAN
Statistics:download
Deposited By: Olivier Besson
Deposited On:26 Mar 2009 12:30

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