系统工程与电子技术 ›› 2021, Vol. 43 ›› Issue (11): 3144-3150.doi: 10.12305/j.issn.1001-506X.2021.11.13

• 传感器与信号处理 • 上一篇    下一篇

基于高斯-勒让德积分的鲁棒波束形成算法

程永杰, 刘帅*, 张雪, 金铭   

  1. 哈尔滨工业大学(威海)信息科学与工程学院, 山东 威海 264200
  • 收稿日期:2020-11-30 出版日期:2021-11-01 发布日期:2021-11-12
  • 通讯作者: 刘帅
  • 作者简介:程永杰(1997—), 女, 硕士研究生, 主要研究方向为波束形成|刘帅(1980—), 男, 副教授, 博士, 主要研究方向为阵列信号处理、电子对抗|张雪(1994—), 女, 工程师,硕士, 主要研究方向为波束形成|金铭(1968—), 男, 教授, 博士, 主要研究方向为雷达信号处理
  • 基金资助:
    国家自然科学基金(62071144)

Robust beamforming algorithm based on Gauss-Legendre integral

Yongjie CHENG, Shuai LIU*, Xue ZHANG, Ming JIN   

  1. School of Information Science and Engineering, Harbin Institute of Technology (Weihai), Weihai 264200, China
  • Received:2020-11-30 Online:2021-11-01 Published:2021-11-12
  • Contact: Shuai LIU

摘要:

针对矩阵重构类波束形成算法在协方差矩阵重构过程中计算复杂度较高的问题, 提出一种基于高斯-勒让德积分重构协方差矩阵的鲁棒波束形成算法。该方法首先根据信号导向矢量之间的正交性, 利用高斯-勒让德积分构建干扰信号空间; 然后将快拍数据投影到干扰信号空间, 剔除期望信号, 完成干扰噪声协方差矩阵重构; 最后将准阵列权矢量投影到信号空间, 修正导向矢量失配。仿真结果表明本文方法在视向误差、导向矢量随机误差条件下具有较好的鲁棒性, 且有效地降低了计算复杂度, 验证了算法的有效性。

关键词: 鲁棒波束形成, 矩阵重构, 高斯-勒让德积分, 导向矢量失配

Abstract:

Aiming at the high computational complexity existing in the covariance matrix reconstruction for the matrix reconstruction beamfoming algorithm, a robust beamforming algorithm based on Gauss-Legendre integral is proposed. Firstly, this method is based on the orthogonality among signal steering vectors and Gauss-Legendre integral to construct the interference space; Secondly, the snapshot data is projected into interference space to eliminate desired signal, and the interference-plus-noise covariance matrix reconstruction is finished; Finally, the mismatch of steering vector is corrected by projecting the quasi-array weight vector into signal space. Simulation results show that this method having good robustness under the condition of look direction errors or signal vector random error, which demonstrate the effectiveness of algorithm and reduce the computational complexity effectively.

Key words: robust beamforming, matrix reconstruction, Gauss-Legendre integral, steering vector mismatch

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