互耦效应下一种基于实值稀疏表示的波达方向估计算法

doi:10.3969/j.issn.1000-1093.2015.02.015

兵工学报 ›› 2015, Vol. 36 ›› Issue (2): 294-298.doi: 10.3969/j.issn.1000-1093.2015.02.015

互耦效应下一种基于实值稀疏表示的波达方向估计算法

吴振¹，戴继生^1,2，朱湘临¹，赵德安¹

(1.江苏大学电气信息工程学院江苏镇江 212013;2.东南大学移动通信国家重点实验室江苏南京 210096)

收稿日期:2013-09-27 修回日期:2013-09-27 上线日期:2015-04-07
通讯作者: 吴振 E-mail:zhenwu.ujs@gmail.com
作者简介:吴振(1990—)男硕士研究生
基金资助:
国家自然科学基金项目（61102054）；东南大学移动通信国家重点实验室开放研究基金项目（2013D08）

A Real-valued Sparse Representation Method for DOA Estimation with Unknown Mutual Coupling

WU Zhen¹， DAI Ji-sheng^1,2， ZHU Xiang-lin¹， ZHAO De-an¹

(1.School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, Jiangsu, China;2National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, Jiangsu, China)

Received:2013-09-27 Revised:2013-09-27 Online:2015-04-07
Contact: WU Zhen E-mail:zhenwu.ujs@gmail.com

摘要/Abstract

摘要： 针对未知互耦条件下的波达方向（DOA）估计问题，提出了一种未知互耦条件下基于实值稀疏表示的加权子空间DOA估计算法。新算法利用一个特定的酉变换矩阵，将一个复杂的复值优化问题转化为一个实值优化问题，从而有效地将原问题的计算复杂度减少4倍以上。此外，为了进一步提高稀疏表示的估计算法估计精度，在原有l1 范数优化模型基础上引入一个能使得DOA估计方差取得最小值的最优子空间加权矩阵。仿真实验表明，在低信噪比情况下，新算法能进一步提高稀疏表示的估计算法抗噪能力，获得更好的估计精度。

关键词: 信息处理技术, 波达方向估计, 稀疏表示, 互耦, 均匀线阵

Abstract: The paper presents a real-valued sparse representation method for DOA estimation in the presence of unknown mutual coupling. Utilizing a certain unitary transformation and taking advantage of the special structure of mutual coupling matrix (MCM) for uniform linear arrays (ULAs), we are able to convert complex-valued manifold matrices of ULAs with unknown mutual coupling into real ones. Due to this transformation, the computational complexity can be decreased by a factor of at least four. Moreover, the proposed method is expected to have a better noise suppression, as it exploits an additional optimal weighting matrix. Thus, the proposed method outperforms the original one, especially when signal-to-noise ratio (SNR) is low. Simulation results verify the efficiency of the proposed method.

Key words: information processing technology, direction of arrival estimation, sparse representation, mutual coupling, uniform linear array

中图分类号:

TN911.7

吴振，戴继生，朱湘临，赵德安. 互耦效应下一种基于实值稀疏表示的波达方向估计算法[J]. 兵工学报, 2015, 36(2): 294-298.

WU Zhen， DAI Ji-sheng， ZHU Xiang-lin， ZHAO De-an. A Real-valued Sparse Representation Method for DOA Estimation with Unknown Mutual Coupling[J]. Acta Armamentarii, 2015, 36(2): 294-298.

参考文献

［1］ Kim H, Viberg M. Two decades of array signal processing research［J］. IEEE Signal Magazine, 1996, 13(4): 67-94.
［2］叶中付, 李春辉, 贾红江, 等. 空间非平稳噪声下的信源数估计算法［J］. 兵工学报, 2009, 30(7): 873-878.
YE Zhong-fu, LI Chun-hui, JIA Hong-jiang, et al. Estimation of the number of signal source in spatially nonstationary noise［J］. Acta Armamentarii, 2009, 30(7): 873-878. (in Chinese)
［3］邹吉武, 孙大军. 线阵双基地声纳波束零点形成MUSIC算法［J］. 兵工学报, 2010, 31 (3): 364-368.
ZOU Ji-wu, SUN Da-jun. MUSIC algorithm of beam null forming on linear array of bi-static sonar ［J］. Acta Armamentarii, 2010, 31 (3): 364-368. (in Chinese)
［4］ Malioutov D, etin M, Willsky A S. A sparse signal reconstruction perspective for source localization with sensor arrays［J］. IEEE Transactions on Signal Processing, 2005, 53(8): 3010-3022.
［5］ Stoica P, Babu P, Li J. SPICE: a sparse covariance-based estimation method for array processing［J］. IEEE Transactions on Signal Processing, 2011, 59(2): 629-638.
［6］ Dai J, Zhao D, Ji X. A sparse representation method for DOA estimation with unknown mutual coupling［J］. IEEE Antennas and Wireless Propagation Letters, 2012, 11: 1210-1213.
［7］ Sellone F, Serra A. A novel online mutual coupling compensation algorithm for uniform and linear arrays［J］. IEEE Transactions on Signal Processing, 2007, 55(2): 560-573.
［8］ Ye Z, Dai J, Xu X, et al. DOA estimation for uniform linear array with mutual coupling［J］. IEEE Transactions on Aerospace and Electronic Systems, 2009, 45(1): 280-288.
［9］ Friedlander B, Weiss A J. Direction finding in the presence of mutual coupling［J］. IEEE Transactions on Antennas and Propagation, 1991, 39(3): 273-284.
［10］ Dai J, Bao X, Hu N, et al. A recursive RARE algorithm for DOA estimation with unknown mutual coupling［J］. IEEE Antennas and Wireless Propagation Letters, 2014, 13: 1593-1596..
［11］ Dai J, Ye Z. Spatial smoothing for direction of arrival estimation of coherent signals in the presence of unknown mutual coupling［J］. IET Signal Processing, 2011, 5(4): 418-425.
［12］ Dai J, Xu W, Zhao D. Real-valued DOA estimation for uniform linear array with unknown mutual coupling［J］. Signal Processing, 2012, 92(9): 2056-2065.
［13］ Viberg M, Ottersten B. Sensor array processing based on subspace fitting［J］. IEEE Transactions on Signal Processing, 1991, 39(5): 1110-1121.
［14］ Huarng K C, Yeh C C. A unitary transformation method for angle-of-arrival estimation［J］. IEEE Transactions on Signal Processing, 1991, 39(4): 975-977.
［15］ Dai J, Xu X, Zhao D. Direction-of-arrival estimation via real-valued sparse representation［J］. IEEE Antennas and Wireless Propagation Letters, 2013, 12: 376-379.

[1]	毛卫宁，钱进. 基于子阵协方差矩阵的线列阵扩展[J]. 兵工学报, 2022, 43(5): 1129-1134.
[2]	高晓峰，栗苹，李国林，郝新红，贾瑞丽. 基于互协方差的L型嵌套阵列二维波达方向估计[J]. 兵工学报, 2019, 40(6): 1207-1215.
[3]	潘曦，佟颖，王华阳. 球谐域传播算子快速声定向算法[J]. 兵工学报, 2018, 39(10): 1936-1944.
[4]	曾溢良，蓝金辉，邹金霖. 滑动置信度约束的红外弱小目标跟踪算法研究[J]. 兵工学报, 2017, 38(9): 1771-1778.
[5]	郭拓，王英民，张立琛. 一种用于水下小尺度运动阵列的目标波达方向估计方法[J]. 兵工学报, 2017, 38(9): 1779-1785.
[6]	李关防，崔杰，袁富宇. 基于线谱瞬时频率估计的被动声纳目标运动分析[J]. 兵工学报, 2017, 38(7): 1395-1401.
[7]	朱甦，薄煜明，何亮. 基于冗余字典的多特征压缩感知目标跟踪算法[J]. 兵工学报, 2017, 38(6): 1140-1146.
[8]	王啸, 韩太林, 张永立, 刘轩, 王义君, 宫玉琳. 多通道瞬态信号自适应变频算法[J]. 兵工学报, 2017, 38(6): 1161-1167.
[9]	张石，张百海，王飞帆，关子霄. 基于跳数量化的无线传感器网络节点定位算法[J]. 兵工学报, 2017, 38(5): 932-939.
[10]	夏平, 任强, 吴涛, 雷帮军. 融合多尺度统计信息模糊C均值聚类与Markov随机场的小波域声纳图像分割[J]. 兵工学报, 2017, 38(5): 940-948.
[11]	曹俊，郑翠娥，孙大军，张殿伦. 基于凸优化的水下载体定位研究[J]. 兵工学报, 2017, 38(3): 520-526.
[12]	向颉，茅永兴，郭才发. 船载雷达测速数据的船速修正新方法[J]. 兵工学报, 2017, 38(11): 2268-2273.
[13]	潘江怀，乔慧. 多传感器空间配准的病态性及其稳健估计[J]. 兵工学报, 2017, 38(10): 1965-1973.
[14]	王清，丁赤飚，付琨，任文娟. 基于膨胀运算的移动对象兴趣点检测方法[J]. 兵工学报, 2017, 38(10): 2041-2047.
[15]	李子高，李淑秋，闻疏琳. 一种基于独立成分分析的水下宽带信号波达方位估计方法[J]. 兵工学报, 2017, 38(1): 114-122.

互耦效应下一种基于实值稀疏表示的波达方向估计算法

A Real-valued Sparse Representation Method for DOA Estimation with Unknown Mutual Coupling

PDF

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价