J4 ›› 2010, Vol. 37 ›› Issue (2): 197-203.doi: 10.3969/j.issn.1001-2400.2010.02.004

• Original Articles • Previous Articles     Next Articles

Robust Capon beamforming algorithm under the steering vector uncertainty set

LIU Cong-feng;LIAO Gui-sheng   

  1. (Key Lab. of Radar Signal Processing, Xidian Univ., Xi'an  710071, China)
  • Received:2009-06-11 Online:2010-04-20 Published:2010-06-03
  • Contact: LIU Cong-feng E-mail:cfliu@mail.xidian.edu.cn

Abstract:

For the problem of solving the Capon beamforming algorithm under the steering vector uncertainty set, a novel method is proposed. By analyzing the characteristic of the robust optimization problem and its solving process deeply, the new solution is given, and the selection of the uncertainty constraint parameter becomes simpler, moreover, the improvement performance of the beamforming algorithm can reach the optimum. And the conclusion is drawn that the negative loading can obtain the optimal improvement performance, and the larger the selected constraint parameter, the closer to the optimum the performance of the beamforming algorithm will be. Furthermore, the zero solution can be effectively avoided by the rational selection of the constraint parameter. The final simulation attests its correctness and effectiveness.

Key words: adaptive beamforming, Capon beamformer, uncertainty set constraint, negative diagonal loading