Full Text:   <1940>

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CLC number: TN911.7

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2019-09-04

Cited: 0

Clicked: 6253

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Jia-jia Zhang

http://orcid.org/0000-0001-8793-7872

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Frontiers of Information Technology & Electronic Engineering  2019 Vol.20 No.10 P.1415-1428

http://doi.org/10.1631/FITEE.1800240


A comprehensive error calibration method based on dual uniform circular array


Author(s):  Jia-jia Zhang, Hui Chen, Song Xiao, Meng-yu Ni

Affiliation(s):  Air Force Early Warning Academy, Wuhan 430019, China

Corresponding email(s):   zjj2015wuhan@163.com

Key Words:  Dual uniform circular array, Gain-phase errors, Position errors, Mutual coupling errors, Calibration


Jia-jia Zhang, Hui Chen, Song Xiao, Meng-yu Ni. A comprehensive error calibration method based on dual uniform circular array[J]. Frontiers of Information Technology & Electronic Engineering, 2019, 20(10): 1415-1428.

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Abstract: 
Based on the dual uniform circular array, a novel method is proposed to estimate the direction-of-arrival (DOA) and jointly calibrate gain-phase errors, position errors, and mutual coupling errors. In this paper, only one auxiliary source is required to generate three time-disjoint calibration sources with the help of the rotation platform. Subsequently, according to the principle that the signal subspace is orthogonal to the noise subspace, the cost function is constructed. The alternating iteration method is used to estimate the coefficients of the three kinds of errors. During the process, the proposed algorithm makes full use of the structural characteristics of the array when estimating mutual coupling errors, while the signal phase matrix is used to eliminate the phase influence caused by the delay in signal arrival at the antenna array when estimating gain-phase errors and position errors. Compared with the algorithm using multidimensional nonlinear search, the proposed algorithm has lower computational complexity. Moreover, our algorithm does not require additional auxiliary sensors. Simulation results demonstrate that the proposed algorithm is effective and can precisely and comprehensively calibrate the errors in a dual uniform circular array.

基于双圈均匀圆阵的综合误差校正方法

摘要:针对双圈均匀圆阵,提出一种估计波达方向且同时校正幅相误差、位置误差和互耦误差的新方法。算法仅利用一个辅助信源,通过旋转天线获得3个分时发射的校正源,而后结合信号子空间与噪声子空间正交的原理构造代价函数,通过循环迭代方法,依次估计出3种误差的系数。在此过程中,算法在估计互耦误差时充分运用了双圈圆阵的阵列特点,在估计幅相和位置误差时运用信号相位矩阵消除信号到达阵面延迟所造成的相位影响。与多维非线性搜索方法相比,该算法具有较低计算复杂度,同时,无需额外辅助阵元。仿真结果表明所提算法有效,且能够较好校正双圈均匀圆阵的综合误差。

关键词:双圈均匀圆阵;幅相误差;位置误差;互耦误差;校正

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Belfiori F, Monni S, van Rossum W, et al., 2012. Antenna array characterisation and signal processing for an FM radio-based passive coherent location radar system. IET Radar Sonar Nav, 6(8):687-696.

[2]Chen H, 2009. Research on Some Aspects of High Resolution Direction of Arrival Estimation. PhD Thesis, Huazhong University of Science and Technology, Wuhan, China (in Chinese).

[3]Cheng F, Gong ZP, Zhang C, et al., 2017. A new rotation measurement-based method for array gain-phase errors calibration. J Electron Inform Technol, 39(8):1899-1905 (in Chinese).

[4]Friedlander B, Weiss AJ, 1991. Direction finding in the presence of mutual coupling. IEEE Trans Antenn Propag, 39(3):273-284.

[5]Guo YD, Zhang YS, Tong NN, et al., 2017. Angle estimation and self-calibration method for bistatic MIMO radar with transmit and receive array errors. Circ Syst Signal Process, 36(4):1514-1534.

[6]Hu XQ, 2009. Basis Study on the Application of Super- Resolution Spatial Spectrum Estimation Technique. PhD Thesis, National University of Defense Technology, Changsha, China (in Chinese).

[7]Jia YK, Bao Z, Wu H, 1996. A new calibration technique with signal sources for position, gain and phase uncertainty of sensor array. Acta Electron Sin, 24(3):47-52 (in Chinese).

[8]Jin R, Li QX, Dong J, et al., 2010. Receiving array calibration method for amplitude and phase errors at low SNR. J Microw, 26(3):68-72, 82 (in Chinese).

[9]Li WX, Lin JZ, Zhang Y, et al., 2016. Joint calibration algorithm for gain-phase and mutual coupling errors in uniform linear array. Chin J Aeronaut, 29(4):1065-1073.

[10]Lin M, Yang L, 2006. Blind calibration and DOA estimation with uniform circular arrays in the presence of mutual coupling. IEEE Antenn Wirel Propag Lett, 5(1):315-318.

[11]Liu S, Yang LS, Yang SZ, 2016. Robust joint calibration of mutual coupling and channel gain/phase inconsistency for uniform circular array. IEEE Antenn Wirel Propag Lett, 15:1191-1195.

[12]Ng BC, See CMS, 1996. Sensor array calibration using a maximum-likelihood approach. IEEE Trans Antenn Propag, 44(6):827-835.

[13]Sellone F, Serra A, 2007. A novel online mutual coupling compensation algorithm for uniform and linear arrays. IEEE Trans Signal Process, 55(2):560-573.

[14]Wang D, 2011. Research on the Errors Calibration Techniques in the Array Signal Processing. PhD Thesis, PLA Information Engineering University, Zhengzhou, China (in Chinese).

[15]Wang D, 2015. Improved active calibration algorithms in the presence of channel gain/phase uncertainties and sensor mutual coupling effects. Circ Syst Signal Process, 34(6): 1825-1868.

[16]Wang D, Wu Y, 2015. The multiplicative array errors calibration algorithms in the presence of multipath. Sci China Inform Sci, 45(2):270-288 (in Chinese).

[17]Wang M, Ma XC, Yan SF, et al., 2015. An auto-calibration algorithm for uniform circular array with unknown mutual coupling. IEEE Antenn Wirel Propag Lett, 15(6): 12-15.

[18]Wang YL, Chen H, Peng YN, et al., 2004. Theory and Algorithms of Spatial Spectrum Estimation. Tsinghua University Press, Beijing, China, p.419-443 (in Chinese).

[19]Wu N, Qu ZY, Si WJ, et al., 2016. DOA and polarization estimation using an electromagnetic vector sensor uniform circular array based on the ESPRIT algorithm. Sensors, 16(12):2109.

[20]Ye ZF, Liu C, 2008. On the resiliency of MUSIC direction finding against antenna sensor coupling. IEEE Trans Antenn Propag, 56(2):371-380.

[21]Yuan ZY, Niu YM, Yang G, et al., 2014. A calibration method for sensor gain/phase and position errors of array antenna. J Electron Inform Technol, 36(9):2232-2237 (in Chinese).

[22]Zhang JJ, Chen H, Li S, et al., 2017. Self calibration of mutual coupling for dual uniform circular array. J Electron Inform Technol, 39(7):1539-1545 (in Chinese).

[23]Zhang JJ, Chen H, Ji ZY, et al., 2018. Direction characteristics for dual circular array. Chin J Radio Sci, 33(1):93-104 (in Chinese).

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