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Performance analysis for a class of robust adaptive beamformers

Besson, Olivier and Vincent, François Performance analysis for a class of robust adaptive beamformers. (2004) In: 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing - ICASSP 2004, 17-21 May 2004, Montréal, Canada .

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Official URL: http://dx.doi.org/10.1109/ICASSP.2004.1326221

Abstract

Robust adaptive beamforming is a key issue in array applications where there exist uncertainties about the steering vector of interest. Diagonal loading is one of the most popular techniques to improve robustness. Recently, worst-case approaches which consist of protecting the array's response in an ellipsoid centered around the nominal steering vector have been proposed. They amount to generalized (i.e. non necessarily diagonal) loading of the covariance matrix. In this paper, we present a theoretical analysis of the signal to interference plus noise ratio (SINR) for this class of robust beamformers, in the presence of random steering vector errors. A closed-form expression for the SINR is derived which is shown to accurately predict the SINR obtained in simulations. This theoretical formula is valid for any loading matrix. It provides insights into the influence of the loading matrix and can serve as a helpful guide to select it. Finally, the analysis enables us to predict the level of uncertainties up to which robust beamformers are effective and then depart from the optimal SINR.

Item Type:Conference or Workshop Item (Paper)
Additional Information:BESSON, Olivier, VINCENT, François. Performance analysis for a class of robust adaptive beamformers. in : Acoustics, Speech, and Signal Processing, 2004. Proceedings. (ICASSP '04). 2004 IEEE International Conference on Acoustics, Speech and Signal Processing, 2004, pp. 169-172. ISSN : 1520-6149
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution: Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
Laboratory name:
Département d'Electronique, Optronique et Signal - DEOS (Toulouse, France) - Signal, Communication, Antenne et Navigation - SCAN
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Deposited By: Francois VINCENT

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