基于矩阵填充的二维自适应波束形成算法

doi:10.7527/S1000-6893.2015.0027

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基于矩阵填充的二维自适应波束形成算法

曾文浩, 朱晓华, 李洪涛, 陈诚, 马义耕

南京理工大学电子工程与光电技术学院, 南京 210094

收稿日期:2014-10-16 修回日期:2015-01-17 出版日期:2016-05-15 发布日期:2015-01-23
通讯作者: 李洪涛,Tel.:025-84315550 E-mail:liht@njust.edu.cn E-mail:liht@njust.edu.cn
作者简介:曾文浩,男,博士研究生。主要研究方向:雷达信号处理,阵列信号处理,矩阵填充雷达信号采样与处理。Tel:025-84315126 E-mail:trikona54@163.com;李洪涛,男,博士,讲师。主要研究方向:雷达信号处理、阵列信号处理、压缩感知雷达信号采样与处理。Tel:025-84315550 E-mail:liht@njust.edu.cn
基金资助:
国家自然科学基金(61401204)

2D adaptive beamforming algorithm based on matrix completion

ZENG Wenhao, ZHU Xiaohua, LI Hongtao, CHEN Cheng, MA Yigeng

School of Electronic and Optical Engineering, Nanjing University of Science & Technology, Nanjing 210094, China

Received:2014-10-16 Revised:2015-01-17 Online:2016-05-15 Published:2015-01-23
Supported by:
National Natural Science Foundation of China (61401204)

摘要/Abstract

摘要：

针对基于矩阵填充的二维自适应波束形成问题,提出一种基于奇异值门限(SVT)的特征分解线性约束最小方差(SVT-ELCMV)算法。首先建立二维自适应波束形成矩阵填充模型,其次验证接收信号矩阵满足零空间性质(NSP),并分析最小可恢复阵元数,最后以SVT算法将稀疏阵列信号恢复为完整信号,并通过修正的特征分解线性约束最小方差(LCMV)形成有效波束。算法解决了稀疏阵列平均副瓣大幅度上升的缺陷,且在平面阵列部分阵元无法正常工作时依然有效。计算机仿真表明:SVT-ELCMV算法可使稀疏阵列具有与完整阵列相同的二维波束形成能力,并可有效抑制干扰信号,验证了算法的有效性和优越性。

关键词: 阵列信号处理, 稀疏平面阵列, 自适应波束形成, 矩阵填充, SVT-ELCMV

Abstract:

The two-dimensional (2D) adaptive beamforming based on matrix completion is considered, and a singular value threshold (SVT) based-eigenvalues decomposition linearly constrained minimum variance (SVT-ELCMV) algorithm is proposed. Firstly, a signal model of two-dimensional adaptive beamforming is established based on the matrix completion. And then, the received signal is proved to satisfy the null space property (NSP). Furthermore, the minimum number of array elements to recover the sparse matrices has been analyzed. Finally, the sparse signal is recovered to full signal by SVT algorithm and an effective beam is formed based on the modified LCMV algorithm. This algorithm overcomes the problem that the average sidelobes increases significantly in sparse array, and it keeps valid in the situation when some elements of the sparse array do not work. Computer simulation shows that the SVT-ELCMV algorithm makes the sparse array have the same beamforming capability with the full array. Moreover, the proposed algorithm can restrain the interference signals effectively, so the superiority of the algorithm is verified.

Key words: array signal processing, sparse planar array, adaptive beamforming, matrix completion, SVT-ELCMV

中图分类号:

曾文浩, 朱晓华, 李洪涛, 陈诚, 马义耕. 基于矩阵填充的二维自适应波束形成算法[J]. 航空学报, 2016, 37(5): 1573-1579.

ZENG Wenhao, ZHU Xiaohua, LI Hongtao, CHEN Cheng, MA Yigeng. 2D adaptive beamforming algorithm based on matrix completion[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(5): 1573-1579.

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E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

基于矩阵填充的二维自适应波束形成算法

2D adaptive beamforming algorithm based on matrix completion

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