基于稀疏贝叶斯的阵列幅相和互耦误差联合校正方法

doi:10.11959/j.issn.1000-436x.2022175

Abstract

Abstract:

In the actual array direction finding system, there are often a variety of errors such as amplitude and phase, mutual coupling, which lead to serious deterioration of array direction finding performance.In order to solve the problem of array direction finding misalignment in the presence of low signal-to-noise ratio, small snapshots and multiple errors, the spatial sparsity of signals were introduced, and Bayesian sparse reconstruction technology was used to solve the passive correction and joint estimation of array signal azimuth in the presence of amplitude-phase and mutual coupling errors.The over-complete model of the received signal with error was constructed, and the posterior probability density function of the received signal was obtained.The EM algorithm was used to iteratively optimize the probability density function to solve the corresponding parameters.At the same time, the CRLB of array error and signal azimuth was derived, and by experimental simulation verifies the effectiveness of the proposed method.

Key words: amplitude-phase error, mutual coupling error, sparse reconstruction, DOA estimation

CLC Number:

TN911

Ding WANG, Weigang GAO, Zhidong WU. Array amplitude-phase and mutual coupling error joint correction method based on sparse Bayesian[J]. Journal on Communications, 2022, 43(9): 112-120.

Figures/Tables 10

References 26

[1]	STEEG M , EXNER F , TEBART J ,et al． OFDM joint communication-radar with leaky-wave antennas［J］． Electronics Letters, 2020,56(21): 1139-1141．
[2]	KHALIFE J , SHAMAEI K , KASSAS Z M ． Navigation with cellular CDMA signals—part I:signal modeling and software-defined receiver design［J］． IEEE Transactions on Signal Processing, 2018,66(8): 2191-2203．
[3]	DAI W S , ZHENG E M , BAO K K ． A method of line spectrum extraction based on target radiated spectrum feature and its postprocessing［J］． Journal of Systems Engineering and Electronics, 2021,32(6): 1381-1393．
[4]	HEMMATEENEJAD B , TASHKHOURIAN J , BORDBAR M M ,et al． Development of colorimetric sensor array for discrimination of herbal medicine［J］． Journal of the Iranian Chemical Society, 2017,14(3): 595-604．
[5]	ZHAO J F , ZOU L , JIANG R K ． Hybrid antenna arrays with high angular resolution for 77 GHz automotive radars［J］． IEICE Electronics Express, 2020,17(2): 1-6．
[6]	SCHMIDT R ． Multiple emitter location and signal parameter estimation［J］． IEEE Transactions on Antennas and Propagation, 1986,34(3): 276-280．
[7]	FILHO G L , REZENDE A , CRUZ L F ,et al． 2-D DOA estimation in a cuboid array based on metaheuristic algorithms and maximum likelihood［J］． International Journal of Communications,Network and System Sciences, 2020,13(8): 121-137．
[8]	QIN Z J , FAN J C , LIU Y W ,et al． Sparse representation for wireless communications:a compressive sensing approach［J］． IEEE Signal Processing Magazine, 2018,35(3): 40-58．
[9]	GERSTOFT P , MECKLENBR?UKER C F , XENAKI A ,et al． Multisnapshot sparse Bayesian learning for DOA［J］． IEEE Signal Processing Letters, 2016,23(10): 1469-1473．
[10]	KASEM H M , SELIM M M , MOHAMED E M ,et al． DRCS-SR:deep robust compressed sensing for single image super-resolution［J］． IEEE Access, 2020,8: 170618-170634．
[11]	MCPHERSON E , PARK B , ITO T A ． The role of prototype matching in science pursuits:perceptions of scientists that are inaccurate and diverge from self-perceptions predict reduced interest in a science career［J］． Personality ＆ Social Psychology Bulletin, 2018,44(6): 881-898．
[12]	李双, 刘骁, 胡顺仁 ,等．加权稀疏信号重构的近场源定位方法［J］．声学技术, 2017,36(1): 75-80．
	LI S , LIU X , HU S R ,et al． Near-field source localization based on weighted sparse signal recovery［J］． Technical Acoustics, 2017,36(1): 75-80．
[13]	LIU Q , WANG X P , HUANG M X ,et al． DOA and range estimation for FDA-MIMO radar with sparse Bayesian learning［J］． Remote Sensing, 2021,13(13): 2553．
[14]	TIPPING M E ． Sparse Bayesian learning and the relevance vector machine［J］． Journal of Machine Learning Research, 2001,1(3): 211-244．
[15]	PANG X J , ZHAO Y B , CAO C H ,et al． STAP method based on atomic norm minimization with array amplitude-phase error calibration［J］． Journal of Systems Engineering and Electronics, 2021,32(1): 21-30．
[16]	ELBIR A M ． Direction finding in the presence of direction-dependent mutual coupling［J］． IEEE Antennas and Wireless Propagation Letters, 2017,16: 1541-1544．
[17]	CHEN P , YANG Y X , WANG Y ,et al． Adaptive beamforming with sensor position errors using covariance matrix construction based on subspace bases transition［J］． IEEE Signal Processing Letters, 2019,26(1): 19-23．
[18]	王鼎, 吴瑛．均匀线阵互耦和幅相误差有源校正改进算法［J］．系统工程与电子技术, 2009,31(9): 2076-2081．
	WANG D , WU Y ． Improved active array calibration algorithm for mutual coupling and amplitude-phase error of uniform linear array［J］． Systems Engineering and Electronics, 2009,31(9): 2076-2081．
[19]	王鼎, 邬钧霆, 叶国华 ,等．一种均匀线阵互耦和幅相误差校正算法［J］．信号处理, 2010,26(1): 38-45．
	WANG D , WU J T , YE G H ,et al． A mutual coupling and gain-phase errors calibration algorithm for uniform linear array［J］． Signal Processing, 2010,26(1): 38-45．
[20]	王鼎, 姚晖, 吴瑛．基于协方差匹配技术的互耦和幅相误差联合校正算法［J］．电子学报, 2012,40(3): 580-586．
	WANG D , YAO H , WU Y ． The joint calibration algorithms of mutual coupling and gain-and-phase errors based on covariance matching technique［J］． Acta Electronica Sinica, 2012,40(3): 580-586．
[21]	杨守国, 李勇, 张昆辉 ,等．基于降维的双基地MIMO雷达收发阵列互耦和幅相误差校正算法［J］．系统工程与电子技术, 2018,40(12): 2668-2674．
	YANG S G , LI Y , ZHANG K H ,et al． Reduced dimensional calibration method for bistatic MIMO radar with mutual coupling and gain-phase errors of transmitting and receiving arrays［J］． Systems Engineering and Electronics, 2018,40(12): 2668-2674．
[22]	YANG Z , XIE L H , ZHANG C S ． Off-grid direction of arrival estimation using sparse Bayesian inference［J］． IEEE Transactions on Signal Processing, 2013,61(1): 38-43．
[23]	WU C F J ． On the convergence properties of the EM algorithm［J］． The Annals of Statistics, 1983,11(1): 95-103．
[24]	SMITH S T ． Statistical resolution limits and the complexified Crame-Rao bound［J］． IEEE Transactions on Signal Processing, 2005,53(5): 1597-1609．
[25]	姚康泽, 梁甸农．模型误差对阵列信号特征结构的影响及一种校准方法［J］．系统工程与电子技术, 1996(8): 44-47,76．
	YAO K Z , LIANG D N ． The influnce of model error to array signal eigenstructure and a calibration method［J］． Systems Engineering and Electronics, 1996(8): 44-47,76．
[26]	DAI J , BAO X , XU W ,et al. Root sparse bayesian learning for off-grid DOA estimation［J］． IEEE Siganl Processing Letters, 2017,24(1): 46-50．

Metrics

Recommended 0

No Suggested Reading articles found!

互偶系数	真实值	估计值
互耦系数1	0.6+j0.4	0.590 9+j0.377 6
互耦系数2	0.2+j0.1	0.2015+j0.109 9

幅相系数	真实值	估计值
幅相系数1	1.080 6-j0.393 3	1.054 8-j0.382 9
幅相系数2	1.125 8-j0.650 0	1.103 6-j0.553 3
幅相系数3	0.919 3-j0.7713	0.906 2-j0.718 7
幅相系数4	1.023 9+j0.717 0	0.976 7+j0.712 5
幅相系数5	0.725 0+j0.3381	0.696 3+j0.373 5
幅相系数6	0.7518+j0.273 6	0.726 3+j0.297 9
幅相系数7	0.536 2+j0.450 0	0.504 6+j0.527 2

Array amplitude-phase and mutual coupling error joint correction method based on sparse Bayesian

RichHTML

PDF

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 10

References 26

Related Articles 15

Metrics

Recommended 0

[1]	Jin HOU, Xinqiang CHEN. DOA estimation based on geometric sequence decomposition and sparse reconstruction [J]. Journal on Communications, 2023, 44(1): 153-163.
[2]	Feng ZHOU, Baosheng ZHANG, Wenbo ZHANG. Space-time division cluster DoA estimation algorithm based on UWA spread spectrum signal [J]. Journal on Communications, 2022, 43(8): 100-108.
[3]	Mingchao QU, Weijian SI, Yazhi YUAN. Research on single snapshot DOA estimation algorithm based on incompletely overlapped signal [J]. Journal on Communications, 2021, 42(12): 88-95.
[4]	Jin HOU, Yunzhe LI, Tianyu LI. Underdetermined DOA estimation of coherent signals based on denoising complex FastICA and sparse reconstruction [J]. Journal on Communications, 2021, 42(11): 172-181.
[5]	Wei WANG,Ming ZHANG,Bobin YAO,Qinye YIN,Pengcheng MU. Computationally efficient direction-of-arrival estimation of non-circular signal based on subspace rotation technique [J]. Journal on Communications, 2020, 41(11): 198-205.
[6]	Wei-jian SI,Tong ZHU,Meng-ying ZHANG. Dimension-reduction MUSIC for jointly estimating DOA and polarization using plane polarized arrays [J]. Journal on Communications, 2014, 35(12): 28-35.
[7]	. Dimension-reduction MUSIC for jointly estimating DOA and polarization using plane polarized arrays [J]. Journal on Communications, 2014, 35(12): 4-35.
[8]	Peng,LIUKai-hua LUO,Jie-xiao YU,Yong-tao MA. Novel DOA estimation method for coherent wideband LFM signals [J]. Journal on Communications, 2012, 33(3): 122-129.
[9]	Xiao-rong XU,Ai-ping HUANG,Jian-wu ZHANG. Novel data fusion strategy based on Bayesian compressive sensing in cognitive WSN [J]. Journal on Communications, 2011, 32(9A): 220-225.
[10]	Tian LAN,Tian-shuang QIU,Jiao YANG. New cyclic-ESPRIT algorithms in impulsive noise environment [J]. Journal on Communications, 2010, 31(9): 89-94.
[11]	Hong-shun ZHANG,Yun-lin XU,Jiang-shu ZHAN. Signal-subspace-based esprit-like algorithm for coherent DOA estimation [J]. Journal on Communications, 2010, 31(7): 110-116.
[12]	Biao WU,Hui CHEN,Xiao-qin HU. Simultaneous estimation of mutual coupling matrix and DOA for Y-shaped array [J]. Journal on Communications, 2010, 31(6): 119-126.
[13]	Ding WANG,Chao WANG,Ying WU. Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm [J]. Journal on Communications, 2010, 31(4): 55-63.
[14]	Li-hu CHEN,Er-yang ZHANG. Directions of arrival estimation for multi frequency-hopping signals based on digital channelized receiver and spatial time-frequency analysis [J]. Journal on Communications, 2009, 30(10): 68-74.
[15]	Ding WANG,Ying WU. 2-D ESPRIT algorithm research based on uniform circular array [J]. Journal on Communications, 2006, 27(9): 89-95.