Technical Program

Paper Detail

Paper:SAM-P3.1
Session:Beamforming and Space-Time Processing
Time:Wednesday, May 19, 09:30 - 11:30
Presentation: Poster
Topic: Sensor Array and Multichannel Signal Processing: Beamforming, direction-of-arrival estimation, and space-time adaptive processing
Title: PERFORMANCE ANALYSIS FOR A CLASS OF ROBUST ADAPTIVE BEAMFORMERS
Authors: Olivier Besson; ENSICA 
 François Vincent; ENSICA 
Abstract: Robust adaptive beamforming is a key issue in array applicationswhere there exist uncertainties about the steering vector ofinterest. Diagonal loading is one of the most popular techniquesto improve robustness. Recently, worst-case approaches whichconsist in protecting the array's response in an ellipsoidcentered around the nominal steering vector have been proposed.They amount to generalized (i.e. non necessarily diagonal) loadingof the covariance matrix. In this paper, we present a theoreticalanalysis of the signal to interference plus noise ratio (SINR) forthis class of robust beamformers, in the presence of randomsteering vector errors. A closed-form expression for the SINR isderived which is shown to accurately predict the SINR obtained insimulations. This theoretical formula is valid for any loadingmatrix. It provides insights into the influence of the loadingmatrix and can serve as an helpful guide to select it. Finally,the analysis enables to predict the level of uncertainties up towhich robust beamformers are effective and then depart from theoptimal SINR.
 
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