采用幅度响应约束的鲁棒自适应波束形成算法

吴仁斌 1; 2; 姚敏立 3; 贾维敏 1; 金伟 1; 邹翔 4

doi:10.7652/xjtuxb201404019

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采用幅度响应约束的鲁棒自适应波束形成算法

更新时间：2025-04-29

- 采用幅度响应约束的鲁棒自适应波束形成算法
- Robust Adaptive Beamforming Algorithm by Constraints on Magnitude Response
- 西安交通大学学报 2014年48卷第4期页码：109-114
- 作者机构：
  
  1. 第二炮兵工程大学907教研室,西安,710025
  2. 中国人民解放军96111部队, 715400, 陕西韩城
- 作者简介：
- 基金信息：
  
  : 2013-08-26。作者简介: 吴仁斌(1990—),男,硕士生;姚敏立(通信作者),教授,博士生导师。基金项目: 国家自然科学基金资助项目(61179004,61179005);中国博士后科学基金资助项目(2012M521843)
- DOI：10.7652/xjtuxb201404019
  中图分类号： TN911.7
- 网络首发：2014-04-10，
  
  纸质出版：2014
- 稿件说明：
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吴仁斌 1, 2, 姚敏立 3, 等. 采用幅度响应约束的鲁棒自适应波束形成算法[J]. 西安交通大学学报, 2014,48(4):109-114.

Robust Adaptive Beamforming Algorithm by Constraints on Magnitude Response[J]. 2014, 48(4): 109-114.
吴仁斌 1, 2, 姚敏立 3, 等. 采用幅度响应约束的鲁棒自适应波束形成算法[J]. 西安交通大学学报, 2014,48(4):109-114. DOI： 10.7652/xjtuxb201404019.

Robust Adaptive Beamforming Algorithm by Constraints on Magnitude Response[J]. 2014, 48(4): 109-114. DOI： 10.7652/xjtuxb201404019.

摘要

针对大导向矢量失配误差造成传统自适应波束形成算法鲁棒性下降的问题

提出采用幅度响应约束的鲁棒自适应波束形成算法。该算法首先对接收数据协方差矩阵失配进行建模优化

然后根据已知的多径相干信号大致来波方向信息对波束主瓣进行幅度响应约束

并利用所提引理将优化问题转化为迭代二阶锥规划问题

最后对权矢量直接进行求解获得最佳值。仿真结果表明:该算法能够针对多径相干信号形成多波束主瓣

自由控制波束主瓣宽度和纹波水平。当期望信号的方向偏差达到3.5°、输入信干噪比在-5～10 dB范围内变化时

该算法的阵列输出信干噪比优于不确定集类算法0～6 dB

对大导向矢量失配误差鲁棒性更高。

Abstract

Aiming at degradation of robustness caused by large steering vector mismatch in the traditional adaptive beamforming algorithms

a robust adaptive beamforming algorithm by constraints on magnitude response is proposed. The receiving covariance matrix mismatch is modeling optimized

and the main lobe magnitudes are then constrained according to the known direction information of multiple coherent signals. The optimization case is converted into an iterative second-order cone programming(SOCP)via the presented lemma. Simulations show that this method enables to form beam main lobe in the direction of multiple coherent signals

and to control the width and the ripple level of the main lobe flexibly. When direction mismatch of the desired signal reaches 3.5° and the signal to noise ratio(SNR)varies within -5 dB to 10 dB

the array output signal to interference and noise ratio(SINR)in the proposed algorithm is superior to that in the uncertainty algorithm by 0-6 dB

and this algorithm is endowed with higher robustness against large steering vector mismatch.

关键词

Keywords

references

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HUANG Zhongrui, LIU Chunsheng, TANG Xiaoguo. Adaptive beam-forming of coherent signals based on second-order cone programming[J]. Electronic Information Warfare Technology, 2013, 28(2): 10-14.

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GRANT M, BOYD S. CVX: Matlab software for disciplined convex programming, version 1.21[EB/OL].[2013-04-05]. http:∥cvxr.com/cvx/doc/CVX.pdf.

金伟, 贾维敏, 姚敏立, 等. 一种分解迭代二阶锥规划鲁棒自适应波束形成算法[J]. 电子与信息学报, 2012, 34(9): 2051-2057.

JIN Wei, JIA Weimin, YAO Minli, et al. A robust adaptive beamforming algorithm using decomposition and iterative second-order cone programming[J]. Journal of Electronics Information Technology, 2012, 34(9): 2051-2057.

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