基于均匀圆阵伪协方差矩阵的单快拍测向方法

doi:10.12305/j.issn.1001-506X.2021.10.14

Abstract

Abstract:

The traditional single snapshot direction finding algorithm is only applicable to the array manifold with Vandermonde form. And the array manifold of uniform circular array does not have Vandermonde matrix structure, so that most methods of constructing pseudo-covariance matrix which are suitable for linear array, cannot be directly used to solve the related problems based on uniform circular array. To solve this problem, the direction of arrival (DOA) estimation algorithm from the scout's point of view is studied, the method of constructing pseudo-covariance matrix is improved, and a single snapshot direction finding algorithm based on uniform circular array is proposed. Compared with the mode forward-backward spatial smoothing (MODE-FBSS) method, the simulation results show that the algorithm is effective and the performance of the proposed method is better than that of the MODE-FBSS method.

Key words: pseudo-covariance matrix, uniform circular array, single snapshot, spatial smoothing

CLC Number:

TN911

Peng WANG, Zhao XIONG, Junpeng YU, Yong TIAN, Wanchun LI. Single snapshot direction finding method with pseudo-covariance matrix based on uniform circular arrays[J]. Systems Engineering and Electronics, 2021, 43(10): 2812-2818.

Figures/Tables 8

Fig.1

Fig.2

Fig.3

Table 1

Fig.4

Fig.5

Fig.6

Fig.7

References 21

1	陈涛, 崔岳寒, 郭立民. 适用于单快拍的多重信号分类改进算法[J]. 吉林大学学报(工学版), 2018, 48 (3): 952- 956.
	CHEN T , CUI Y H , GUO L M . Improved algorithm signal classification for single snapshot[J]. Journal of Jilin University (Engineering and Technology Edition), 2018, 48 (3): 952- 956.
2	SINGH P R , WANG Y , CHARGE P . Bistatic MIMO radar for near field source localisation using PARAFAC[J]. Electronics Letters, 2016, 52 (12): 1060- 1061. doi: 10.1049/el.2015.4380
3	SHI J P , HU G P , ZHANG X F , et al. Sparsity-based DOA estimation of coherent and uncorrelated targets with flexible MIMO radar[J]. IEEE Trans.on Vehicular Technology, 2019, 68 (6): 5835- 5848. doi: 10.1109/TVT.2019.2913437
4	SUN S R , LIANG G L . ISAR imaging of complex motion targets based on Radon transform cubic chirplet decomposition[J]. International Journal of Remote Sensing, 2018, 39 (6): 1770- 1781. doi: 10.1080/01431161.2017.1415485
5	JIA T Y , SHEN X H , WANG H Y . Multistatic sonar localization with a transmitter[J]. IEEE Access, 2019, 7, 111192- 111203. doi: 10.1109/ACCESS.2019.2934737
6	LIU J , LIU J , REICH J , et al. Distributed group management in sensor networks: algorithms and applications to localization and tracking[J]. Telecommunication Systems, 2004, 26 (2-4): 235- 251. doi: 10.1023/B:TELS.0000029041.37854.92
7	JIA T Y , WANG H Y , SHEN X H , et al. Target localization based on structured total least squares with hybrid TDOA-AOA measurements[J]. Signal Processing, 2018, 143, 211- 221. doi: 10.1016/j.sigpro.2017.09.011
8	SCHMIDT R . Multiple emitter location and signal parameter estimation[J]. IEEE Trans.on Antennas and Propagation, 1986, 34 (3): 276- 280. doi: 10.1109/TAP.1986.1143830
9	ROY R , PAULRAJ A , KAILATH T . ESPRIT-A subspace rotation approach to estimation of parameters of cisoids in noise[J]. IEEE Trans.on Acoustics, Speech, and Signal Processing, 1986, 34 (5): 1340- 1342. doi: 10.1109/TASSP.1986.1164935
10	刘晓娣, 周新力, 肖金光. 基于空间平滑的单快拍波达方向估计算法[J]. 探测与控制学报, 2015, 37 (6): 66- 70.
	LIU X D , ZHOU X L , XIAO J G . Single snapshot DOA estimation algorithm based on spatial smoothing[J]. Journal of Detection and Control, 2015, 37 (6): 66- 70.
11	JIA T Y , WANG H Y , SHEN X H . A study of compressed sensing single-snapshot DOA estimation based on the RIPless theory[J]. Telecommunication Systems, 2020, 74, 537- 547. doi: 10.1007/s11235-020-00676-8
12	蒋柏峰, 吴琨, 吕晓德. 基于奇异值分解的单快拍DOA估计方法[J]. 中国电子科学研究院学报, 2017, 12 (1): 60- 66. doi: 10.3969/j.issn.1673-5692.2017.01.011
	JIANG B F , WU K , LYU X D . Single snapshot DOA estimation algorithm based on SVD[J]. Journal of China Academy of Electronics and Information Technology, 2017, 12 (1): 60- 66. doi: 10.3969/j.issn.1673-5692.2017.01.011
13	陈宝欣, 黄勇, 陈小龙, 等. 基于迭代超分辨的单快拍DOA估计方法[J]. 信号处理, 2019, 35 (5): 775- 780.
	CHEN B X , HUANG Y , CHEN X L , et al. Single snapshot DOA estimation method based on reiterative super-resolution[J]. Journal of Signal Processing, 2019, 35 (5): 775- 780.
14	徐姝, 陶永生, 梁仕杰. 适用于单快拍的MSCS改进算法[J]. 舰船电子工程, 2020, 40 (1): 108- 112. doi: 10.3969/j.issn.1672-9730.2020.01.027
	XU S , TAO Y S , LIANG S J . Improved algorithm of MUSIC symmetrical compressed spectrum for single snapshot[J]. Ship Electronic Engineering, 2020, 40 (1): 108- 112. doi: 10.3969/j.issn.1672-9730.2020.01.027
15	王雅婧, 罗明, 徐晓煜. 基于小孔径圆阵的宽带LFM信号时差测向[J]. 舰船电子对抗, 2017, 40 (6): 1- 6, 17.
	WANG Y J , LUO M , XU X Y . Time difference direction finding of wideband LFM signals based on small aperture circular array[J]. Shipboard Electronic Countermeasure, 2017, 40 (6): 1- 6, 17.
16	梁国龙, 田蕴琦, 付进, 等. 基于均匀圆阵中心对称性的相干源方位估计[J]. 哈尔滨工程大学学报, 2019, 40 (12): 1958- 1964.
	LIANG G L , TIAN Y Q , FU J , et al. Direction estimation of coherent signals based on the central symmetry of uniform circular array[J]. Journal of Harbin Engineering University, 2019, 40 (12): 1958- 1964.
17	MATHEWS C P, ZOLTOWSKI M D. Direction finding with circular arrays via phase mode excitation and Root-MUSIC[C]//Proc. of the IEEE Antennas and Propagation Society International Symposium Digest, 1992: 1019-1022.
18	张薇, 韩勇, 闫锋刚, 等. 基于均匀圆阵Toeplitz矩阵集重构解相干算法[J]. 吉林大学学报(工学版), 2020, 50 (4): 1522- 1531.
	ZHANG W , HAN Y , YAN F G , et al. Toeplitz matrices reconstruction based direction of arrival estimation with uniform circular arrays[J]. Journal of Jilin University (Engineering and Technology Edition), 2020, 50 (4): 1522- 1531.
19	李帅, 陈辉, 张佳佳. 基于特征矢量重构的均匀圆阵解相干算法[J]. 空军预警学院学报, 2016, 30 (3): 157- 161.
	LI S , CHEN H , ZHANG J J . Decorrelation algorithm of uniform circular array based on eigenvector reconstruction[J]. Journal of Air Force Early Warning Academy, 2016, 30 (3): 157- 161.
20	SU X , LIU Z , LIU T , et al. A sparse representation method for coherent sources angle estimation with uniform circular array[J]. International Journal of Antennas and Propagation, 2019, (2019): 3849791.
21	熊钊. 基于均匀圆阵的测向与主动反侦察技术研究[D]. 成都: 电子科技大学, 2020.
	XIONG Z. Research on direction finding and active counter reconnaissance technology based on uniform circular array[D]. Chengdu: University of Electronic Science and Technology of China, 2020.

步骤	具体内容	实现结果
1	通过UCA阵元接收的数据构造矩阵	X₀
2	通过式(10)、式(11)计算得出矩阵	J
3	通过式(12)、式(13)计算得出矩阵	F
4	利用步骤2和步骤3得到的矩阵, 由式(15)计算得到预处理矩阵	T
5	完成对接收信号的预处理计算X=TX₀	X
6	利用矩阵X中筛选出的数据, 由式(26)计算得到伪协方差矩阵	${\mathit{\boldsymbol{\tilde R}}} $
7	根据MUSIC算法对$ {\mathit{\boldsymbol{\tilde R}}}$进行特征分解	信号子空间U_S和噪声子空间U_N
8	对方位角θ在[0°, 360°]进行最小优化搜索	目标的精确定位结果

[1]	Juan WEI, Shian YAN, Fangli NING. DOA estimation method for coherent signals based on coprime array virtual array spatial smoothing [J]. Systems Engineering and Electronics, 2022, 44(4): 1069-1077.
[2]	Sunyong WU, Baohong ZOU, Qiutiao XUE, Xiyan SUN, Li WANG. DOA tracking algorithm based on single snapshot spatial smoothing with multi-Bernoulli [J]. Systems Engineering and Electronics, 2021, 43(9): 2430-2438.
[3]	Di ZHAO, Zhongliang DENG, Weijie TAN, Aihua HU, Shihao TANG. DOA estimation for directional UCA using adjustable spatial filtering gain [J]. Systems Engineering and Electronics, 2021, 43(7): 1804-1812.
[4]	Zhigang SU, Xinran CHEN, Jingtang HAO. Circular array beamforming method based on particle swarm optimization [J]. Systems Engineering and Electronics, 2020, 42(7): 1449-1454.
[5]	TANG Min, QI Dong, LIU Chengcheng, ZHAO Yongjun. Adaptive beamforming algorithm for coherent signal in single snapshot case [J]. Systems Engineering and Electronics, 2019, 41(6): 1224-1229.
[6]	WANG Yajing, LUO Ming. Compressed sensing direction finding algorithm for wideband LFM signals [J]. Systems Engineering and Electronics, 2018, 40(12): 2649-2654.
[7]	YAO Di, ZHANG Xin, WU Xiaochuan, YANG Qiang, DONG Yingning, DENG Weibo. Single snapshot DOA estimation algorithm based on iteration continuous basis pursuit for HFSWR [J]. Systems Engineering and Electronics, 2017, 39(7): 1480-1485.
[8]	ZHENG Gui-mei, XIAO Yu, GONG Jian. Coherent sources DOA estimation with spatially spread electromagnetic vector sensor array [J]. Systems Engineering and Electronics, 2016, 38(4): 753-759.
[9]	MA Bo le, CHENG Jin fang. Improved coherent signal bearing estimation with acoustic vector hydrophone array [J]. Systems Engineering and Electronics, 2016, 38(3): 519-524.
[10]	Lv Xiaoyong, WANG Jun. Mutual coupling compensation in 8element uniform circular array [J]. Systems Engineering and Electronics, 2015, 37(10): 2212-2216.
[11]	SI Weijian1， WU Di1， HAN Huilian2， WU Na1. Cascade estimation method of mutual coupling selfcalibration for uniform circular array [J]. Systems Engineering and Electronics, 2014, 36(7): 1225-1231.
[12]	LIANG Hao, CUI Chen, WU Bo, LI Xiao-bo. Angle estimation of coherent target for bistatic MIMO radar [J]. Systems Engineering and Electronics, 2014, 36(6): 1068-1074.
[13]	ZHANG Shu,LI Liang. Optimal pattern synthesis with nulls for circular array based on directional elements [J]. Journal of Systems Engineering and Electronics, 2012, 34(12): 2418-2422.
[14]	QI Zi-sen, GUO Ying, WANG Bu-hong, FAN Hai-ning. Blind DOA estimation algorithm of coherent sources for conical conformal array antenna with respect to polarization diversity [J]. Journal of Systems Engineering and Electronics, 2011, 33(6): 1226-1230.
[15]	HOU Yun-shan, HUANG Jian-guo, ZHANG Li-jie. Improved subspace bearing estimator for MIMO array [J]. Journal of Systems Engineering and Electronics, 2010, 32(5): 955-958.

Single snapshot direction finding method with pseudo-covariance matrix based on uniform circular arrays

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 8

References 21

Related Articles 15

Recommended Articles

Metrics

Comments