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A comprehensive error calibration method based on dual uniform circular array

  • Jia-jia ZhangEmail author
  • Hui Chen
  • Song Xiao
  • Meng-yu Ni
Article
  • 10 Downloads

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.

Keywords

Dual uniform circular array Gain-phase errors Position errors Mutual coupling errors Calibration 

CLC number

TN911.7 

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Notes

Compliance with ethics guidelines

Jia-jia ZHANG, Hui CHEN, Song XIAO, and Meng-yu NI declare that they have no conflict of interest.

References

  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.  https://doi.org/10.1049/iet-rsn.2011.0401 CrossRefGoogle Scholar
  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).Google Scholar
  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).  https://doi.org/10.11999/JEIT161058 Google Scholar
  4. Friedlander B, Weiss AJ, 1991. Direction finding in the presence of mutual coupling. IEEE Trans Antenn Propag, 39(3):273–284.  https://doi.org/10.1109/8.76322 CrossRefGoogle Scholar
  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.  https://doi.org/10.1007/s00034-016-0365-9 CrossRefGoogle Scholar
  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).Google Scholar
  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).Google Scholar
  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).Google Scholar
  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.  https://doi.org/10.1016/j.cja.2016.04.018 CrossRefGoogle Scholar
  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.  https://doi.org/10.1109/LAWP.2006.878898 CrossRefGoogle Scholar
  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.  https://doi.org/10.1109/LAWP.2015.2499280 CrossRefGoogle Scholar
  12. Ng BC, See CMS, 1996. Sensor array calibration using a maximum-likelihood approach. IEEE Trans Antenn Propag, 44(6):827–835.  https://doi.org/10.1109/8.509886 CrossRefGoogle Scholar
  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.  https://doi.org/10.1109/TSP.2006.885732 MathSciNetCrossRefGoogle Scholar
  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).Google Scholar
  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.  https://doi.org/10.1007/s00034-014-9926-y MathSciNetCrossRefGoogle Scholar
  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).  https://doi.org/10.1360/N112013-00060 MathSciNetGoogle Scholar
  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.  https://doi.org/10.1109/LAWP.2015.2425423 Google Scholar
  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).Google Scholar
  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.  https://doi.org/10.3390/s16122109 CrossRefGoogle Scholar
  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.  https://doi.org/10.1109/TAP.2007.915461 CrossRefGoogle Scholar
  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).  https://doi.org/10.3724/SP.J.1146.2013.01807 Google Scholar
  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).  https://doi.org/10.11999/JEIT161137 Google Scholar
  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).  https://doi.org/10.13443/j.cjors.2017042501 Google Scholar

Copyright information

© Zhejiang University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Air Force Early Warning AcademyWuhanChina

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