Robust Adaptive Beamforming Based on Least-Square

WANG Yan; WU Wen-feng; LIANG Guo-long

doi:10.3969/j.issn.0372-2112.2013.12.001

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Robust Adaptive Beamforming Based on Least-Square

更新时间：2025-07-16

- Robust Adaptive Beamforming Based on Least-Square
- Acta Electronica Sinica Vol. 41, Issue 12, Pages: 2321-2326(2013)
- 作者机构：
  
  哈尔滨工程大学水声技术实验室,黑龙江,哈尔滨,150001
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61201411);National Natural Science Foundation of China (No.51279043);National Key Laboratory of Underwater Acoustic Technology (No.9140C200203110C2003)
- DOI：10.3969/j.issn.0372-2112.2013.12.001
  CLC： TN911.7
- Published：2013
- 稿件说明：
移动端阅览
WANG Yan, WU Wen-feng, LIANG Guo-long. Robust Adaptive Beamforming Based on Least-Square[J]. Acta Electronica Sinica, 2013, 41(12): 2321-2326.
DOI：

WANG Yan, WU Wen-feng, LIANG Guo-long. Robust Adaptive Beamforming Based on Least-Square[J]. Acta Electronica Sinica, 2013, 41(12): 2321-2326. DOI： 10.3969/j.issn.0372-2112.2013.12.001.

摘要

为解决Capon波束形成器在存在导向矢量失配时的性能急剧下降问题，提出了一种结合广义旁瓣对消器和稳健最小二乘的鲁棒波束形成算法.该算法利用广义旁瓣对消器原理将Capon波束形成器转化为最小二乘问题，然后在数据协方差矩阵误差的范数约束下将其转化为二阶锥规划问题，并利用高效内点法得到最优解.所提出的算法经推导证明属于对角加载类.仿真分析表明，该算法在导向矢量失配和快拍不足时仍具有较好的性能.

Abstract

The performance of Capon beamformer degrades sharply in the presence of array steering vector errors.To solve this problem

a robust beamforming algorithm

which combines generalized sidelobe canceller(GSC) and robust least-square

is proposed.The Capon beamformer is converted to a least-square problem based on the principle of generalized sidelobe canceller

and then converted to a second-order cone program (SOCP) problem under the constraint on the norm of the error matrix.The well-established interior point method is adopted in order to obtain the optimal solution.Deduction proves that the proposed algorithm belongs to the diagonal loading sort.Simulation results show the efficiency of the proposed algorithm in the case of steering vector mismatch and snapshot deficiency.

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