Journal of Northeastern University Natural Science ›› 2017, Vol. 38 ›› Issue (10): 1369-1372.DOI: 10.12068/j.issn.1005-3026.2017.10.001

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Robust Iterative Beamforming Algorithm Based on Uniform Circular Array

SONG Xin1, WANG Jin-kuan2, LIU Wen-min2, GAO Jing1   

  1. 1. School of Computer and Communication Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China; 2. School of Computer Science & Engineering, Northeastern University, Shenyang 110169, China.
  • Received:2016-05-16 Revised:2016-05-16 Online:2017-10-15 Published:2017-10-13
  • Contact: SONG Xin
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Abstract: The performances of traditional beamformers degrade severely in the presence of signal steering vector mismatches and transformation errors, and the uniform circular array (UCA) does not have the Vandermonde structure, a novel robust iterative beamforming algorithm based on the uniform circular array was proposed. Using phase-mode transformation technique, the virtual correlation matrix was obtained and the steering vector was belong to the certain ellipsoid set. The worst-case performance optimization was used and the cost function of second convex programming was constructed based on UCA. The weight vector has a closed-form solution by the Lagrange multiplier method, in which the diagonal loading factor was derived exactly. The simulation results showed that the proposed algorithm can provide efficient robustness and improve the array output performance.

Key words: robust adaptive beamforming, uniform circular array, phase-mode transformation, signal steering vector mismatches

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