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

doi:10.3969/j.issn.1000-1093.2015.02.015

Abstract

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

CLC Number:

TN911.7

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.

References

［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]	LI Si, LIU Yinsheng, LI Xu, YANG Mingqiang. Radio Direction Finding System Based on Polynomial Manifold Interpolation [J]. Acta Armamentarii, 2023, 44(8): 2486-2494.
[2]	ZHANG Hongyun, LI Ping, LI Guolin, JIA Ruili. Target Bearing Estimation Using Vortex Electromagnetic Waves with Mutual Coupling [J]. Acta Armamentarii, 2023, 44(10): 3218-3226.
[3]	WANG Xuhu, TIAN Yu, ZHANG Qunfei, LI Enyu, JIN Xu, HOU Yujun. Near-field Source Location Estimation Method Based on Coprime Arrays [J]. Acta Armamentarii, 2023, 44(10): 3227-3236.
[4]	LIU Yong-qing， JIANG Shuo， YU Dong， SHAO Xiao-tian. Effect of Narrowband Interference Suppression on Pseudorandom Code Zero Value [J]. Acta Armamentarii, 2016, 37(2): 293-298.
[5]	GUAN Si-hai， LI Zhi, HUANG Hui, WANG Zhe. Modified Zero-Attracting l₀-NLMS Algorithm [J]. Acta Armamentarii, 2016, 37(11): 2170-2176.
[6]	JIAO Chuan-hai, LI Yong-cheng, XIE Kai, YANG Yun-fu. Wideband Compressed Blind Sensing without Reconstruction Based on Expectation Deviation and Generalized Likelihood RatioTest [J]. Acta Armamentarii, 2016, 37(10): 1837-1843.
[7]	GUO Ye-cai, WU Hua-peng, WANG Hui, ZHANG Miao-qing. DNA Genetic Bat Algorithm Based Fractionally Spaced Multi-modulus Algorithm [J]. Acta Armamentarii, 2015, 36(8): 1502-1507.
[8]	LI Zheng-zhou, HOU Qian, DAI Zhen, FU Hong-xia, GE Feng-zeng, JIN Gang. Dim Moving Target Detection Algorithm Based on Spatial-temporal Sparse Representation [J]. Acta Armamentarii, 2015, 36(7): 1273-1279.
[9]	ZHU Ming-qiang， HOU Jian-jun, LIU Ying ， LI Xu, TIAN Hong-juan. An Time Delay Difference Estimation Algorithm Based on Improved Unscented Particle Filter Suitable for Target Tracking inWireless Sensor Network [J]. Acta Armamentarii, 2015, 36(7): 1266-1272.
[10]	GUO Ye-cai， ZHANG Miao-qing. A Multi-modulus Blind Equalization Algorithm Based on Shuffled Frog Leaping Algorithm [J]. Acta Armamentarii, 2015, 36(7): 1280-1287.
[11]	LIU Kun, MA Wen-ping, LIU Hong-ying. Speckle Suppression of Polarimetric Synthetic Aperture Radar Images Based on Sublook Data Correlation [J]. Acta Armamentarii, 2015, 36(7): 1288-1294.
[12]	DENG Bing, LUAN Jun-bao. Study of Reconnaissance Reception Algorithm of Wide-band Channelization in the Fractional Fourier Domain [J]. Acta Armamentarii, 2015, 36(6): 1040-1045.
[13]	ZHU Xia, CHEN Ren-wen, XIA Hua-kang, ZHANG Piao-yan. A Novel Image Registration Based on Cultural Particle Swarm Optimization Algorithm [J]. Acta Armamentarii, 2015, 36(6): 1033-1039.
[14]	ZHANG Liang-jun, YANG Jie, LU Kai-wang, SUN Ya-dong. Underdetermined Blind Source Separation Based on Time-frequency Method Using Cyclostationary Characteristic [J]. Acta Armamentarii, 2015, 36(4): 703-709.
[15]	WU Yi-quan， SONG Yu. Background Suppression of Small Infrared Target Image Based on Nonsubsampled Complex Contourlet Transform and GaussianWavelet Support Vector Regression [J]. Acta Armamentarii, 2015, 36(4): 687-695.