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Performance analysis of beamformers using generalized loading of the covariance matrix in the presence of random steering vector errors

Besson, Olivier and Vincent, François Performance analysis of beamformers using generalized loading of the covariance matrix in the presence of random steering vector errors. (2005) IEEE Transactions on Signal Processing, vol. 5 (n° 2). pp. 452-459. ISSN 1053-587X

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Official URL: http://dx.doi.org/10.1109/TSP.2004.840777

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. In this paper, we present a theoretical analysis of the signal-to-interference-plus-noise ratio (SINR) for the class of beamformers based on generalized (i.e., not necessarily diagonal) loading of the covariance matrix in the presence of random steering vector errors. A closed-form expression for the SINR is derived that 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:Article
Additional Information:Thanks to the Institute of Electrical and Electronics Engineers (IEEE). The original PDF can be found on the IEEE website: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1381738
Audience (journal):International peer-reviewed journal
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Institution: Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
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Deposited By: Olivier Besson
Deposited On:18 Mar 2008 10:34

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