一种高效稳健的均匀圆阵互耦校正方法

doi:10.3969/j.issn.0372-2112.2017.09.017

电子学报 ›› 2017, Vol. 45 ›› Issue (9): 2170-2176.DOI: 10.3969/j.issn.0372-2112.2017.09.017

一种高效稳健的均匀圆阵互耦校正方法

刘松^1,2, 廖勇^1,2, 谢远举¹

1. 重庆大学飞行器测控与通信教育部重点实验室, 重庆 400044;
2. 西安电子科技大学综合业务网理论及关键技术国家重点实验室, 陕西西安 710071

收稿日期:2016-01-26 修回日期:2016-04-20 出版日期:2017-09-25
- 通讯作者:
- 廖勇
- 作者简介:
- 刘松,男,1976年出生于湖北恩施.现为重庆大学通信工程学院博士研究生.主要研究方向为阵列信号处理.E-mail:ls5836@163.com;谢远举,男,1989年出生于重庆黔江.现为重庆大学通信工程学院硕士研究生.主要研究方向为软件无线电.E-mail:xieyuanju@139.com
- 基金资助:
- 国家自然科学基金重大研究计划培育项目 (No.91438104）; 国家自然科学基金 (No.61501066，No.61571069）; 重庆市基础与前沿研究计划项目 (No.cstc2015jcyjA40003）; 西安电子科技大学综合业务网理论及关键技术国家重点实验室开放基金 (No.ISN16-03）; 中央高校基本科研业务费重点基金 (No.CDJZR165505）

An Efficient and Robust Calibration Method of Mutual Coupling for Uniform Circular Array

LIU Song^1,2, LIAO Yong^1,2, XIE Yuan-ju¹

1. Key Laboratory of Aerocraft TT & C and Communication, Ministry of Education, Chongqing University, Chongqing 400044, China;
2. The State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, Shaanxi 710071, China

Received:2016-01-26 Revised:2016-04-20 Online:2017-09-25 Published:2017-09-25

摘要/Abstract

摘要： 紧凑均匀圆阵（UCA）的强电磁互耦效应严重影响波束赋形（BF）和波达方向（DoA）估计的性能，本文利用UCA的特殊圆对称性，提出了一种稳健高效的互耦参数校正方法.该方法只需要单个信源和单次校正实验，并且信源方向并不需要事先精确校准.首先互耦矩阵在离散傅里叶空间被转化为具有中心对称的一个参矢量，随后在一个有限的先验二维空间角域内进行搜索，从而根据基于对称性的目标函数将互耦参数估计出来.仿真对比实验验证了新校正算法的有效性和鲁棒性，同时揭示了秩损（RARE）校正方法不够稳健，为基于UCA的雷达、移动通信等应用提供了简单且高效的互耦误差校正方法.

关键词: 阵列信号处理, 波达方向估计, 阵列校正, 均匀圆阵, 电磁互耦, 秩损方法

Abstract: The strong electromagnetic mutual coupling effect of a compact uniform circular array (UCA) will severely degrade the performance of beamforming (BF) or direction-of-arrival (DoA) estimation.Based on the special circular symmetry of a UCA,a new efficient and robust calibration method is proposed for the mutual coupling effect.Only one single signal source and one trial are required to complete the calibration,and the direction of the signal source does not need to be calibrated beforehand.First in discrete Fourier transform (DFT) space,the mutual coupling matrix (MCM) is transformed to be a centrosymmetric vector.Then in a prior 2D spatial angular domain,limited angle searching is carried out to get the estimate of the parameters according to a novel objection function based on the symmetry.Comparative simulations verify the effectiveness and robustness of the new algorithm and at the same time reveal that method based on rank reduction (RARE) lacks robustness,and thus a simple and efficient approach for mutual coupling calibration is provided when UCA is applied in radar,mobile communication system etc.

Key words: array signal processing, direction of arrival estimation, array calibration, uniform circular array, electromagnetic mutual coupling, rank reduction

中图分类号:

TN911.7

刘松, 廖勇, 谢远举. 一种高效稳健的均匀圆阵互耦校正方法[J]. 电子学报, 2017, 45(9): 2170-2176.

LIU Song, LIAO Yong, XIE Yuan-ju. An Efficient and Robust Calibration Method of Mutual Coupling for Uniform Circular Array[J]. Acta Electronica Sinica, 2017, 45(9): 2170-2176.

参考文献

[1] Hu H,Nickel U,Kulpa K.Advances in antenna array processing for radar[J].International Journal of Antennas and Propagation,2013,vol.2013,Article ID 416096,http://dx.doi.org/10.1155/2013/416096.
[2] Hu H,Qi H M,Villano M,et al.Advances in antenna array processing for radar 2014[J].International Journal of Antennas and Propagation,2015,vol.2015,Article ID 196910,http://dx.doi.org/10.1155/2015/196910.
[3] Schmidt R O.Multiple emitter location and signal parameter estimation[J].IEEE Transactions on Antennas and Propagation,1986,34(3):276-280.
[4] Roy R,Kailath T.ESPRIT-estimation of signal parameters via rotational invariance techniques[J].IEEE Transactions on Acoustic Speech and Signal Processing,1989,37(7):984-995.
[5] Mathews C P,Zoltowski M D.Eigenstructure techniques for 2-D angle estimation with uniform circular arrays[J].IEEE Transactions on Signal Processing,1994,42(9):2395-2407.
[6] Pesavento M,Böhme J F.Direction of arrival estimation in uniform circular arrays composed of directional elements[A].Sensor Array and Multichannel Signal Processing Workshop[C].Rosslyn:IEEE,2002.503-507.
[7] Belloni F,Richter A,Koivunen V.DoA estimation via manifold separation for arbitrary array structures[J].IEEE Transactions on Signal Processing,2007,55(10):4800-4810.
[8] Hua G,Wu J D,Zhu X C,et al.Efficient two-dimensional direction finding via auxiliary-variable manifold separation technique for arbitrary array structure[J].Mathematical Problems in Engineering,2015,vol.2015,Article ID 740513,http://dx.doi.org/10.1155/2015/740513.
[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] Wang B H,Hui H T,Leong M S.Decoupled 2D direction of arrival estimation using compact uniform circular arrays in the presence of elevation-dependent mutual coupling[J].IEEE Transactions on Antennas and Propagation,2010,58(3):747-755.
[11] Lin M,Yang L X.Blind calibration and DoA estimation with uniform circular arrays in the presence of mutual coupling[J].IEEE Antennas and Wireless Propagation Letters,2006,5(1):315-318.
[12] 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(5):1593-1596.
[13] Wang M,Ma X C,Yan S F,et al.An auto-calibration algorithm for uniform circular array with unknown mutual coupling[J].IEEE Antennas and Wireless Propagation Letters,2015,DOI:10.1109/LAWP.2015.2425423.
[14] See C M S.Sensor array calibration in the presence of mutual coupling and unknown sensor gains and phases[J].Electronics Letters,1994,30(5):373-374.
[15] Si W,Wu D,Liu L,Qu X,et al.Direction finding with gain/phase errors and mutual coupling errors in the presence of auxiliary sensors[J].Mathematical Problems in Engineering,2014,vol.2014,Article ID 429426,http://dx.doi.org/10.1155/2014/429426.
[16] Liu S,Yang L S,Yang S Z.Robust joint calibration of mutual coupling and channel gain/phase inconsistency for uniform circular array[J].IEEE Antennas and Wireless Propagation Letters,2016,15(1):1191-1195.
[17] Gupta I J,Ksienski A A.Effect of mutual coupling on the performance of adaptive arrays[J].IEEE Transactions on Antennas and Propagation,1983,31(9):785-791.
[18] Ma Y L,Yang X Y,He Z Y,et al.Theoretical and practical solutions for high-order superdirectivity of circular sensor arrays[J].IEEE Transactions on Industrial Electronics,2013,60(1):203-209.
[19] Gao D Y,Wang B H,Guo Y.Comments on "Blind calibration and DoA estimation with uniform circular arrays in the presence of mutual coupling"[J].IEEE Antennas and Wireless Propagation Letters,2006,5(1):566-569.

一种高效稳健的均匀圆阵互耦校正方法

An Efficient and Robust Calibration Method of Mutual Coupling for Uniform Circular Array

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