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Array errors active calibration algorithm based on instrumental sensors

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Abstract

The array mutual coupling, gain-phase errors and sensor position errors would significantly degrade the performance of high-resolution direction of arrival (DOA) estimation algorithms. Aiming at the combined influences of the above three array errors, a kind of active calibration algorithm is presented with the help of instrumental sensors in this paper. Firstly, the integrated effects of the three array errors are shown to be equivalent to angularly dependent gain-phase errors. Then, a non-linear least square (LS) optimization model for the three array errors is established through an auto-calibration algorithm using auxiliary sensors, and the corresponding resolving algorithms of the LS optimization problem are given according to the different models of array errors matrix. Next, the parameter estimation uniqueness of the proposed algorithms is analyzed in detail and an improvement strategy is given. Finally, the effectiveness of the novel algorithm is validated by simulations.

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References

  1. Friedlander B, Weiss A J. Direction finding in the presence of mutual coupling. IEEE Trans Antenn Propag, 1991, 39: 273–284

    Article  Google Scholar 

  2. Wijnholds S J, Veen A J. Multisource self-calibration for sensor arrays. IEEE Trans Signal Process, 2009, 57: 3512–3522

    Article  MathSciNet  Google Scholar 

  3. Sellone F, Serra A. A novel mutual coupling compensation algorithm for uniform and linear arrays. IEEE Trans Signal Process, 2007, 55: 560–573

    Article  MathSciNet  Google Scholar 

  4. Li Y M, Wang R D, Wen H F. Perturbation analysis of gain and phase error calibration for uniform linear array with optimal algorithms (in Chinese). J Electron Inf Technol, 2007, 29: 1653–1656

    Google Scholar 

  5. Lin M, Yang L. Blind calibration and DOA estimation with uniform circular arrays in the presence of mutual coupling. IEEE Antenn Wireless Propag Lett, 2006, 5: 315–318

    Article  Google Scholar 

  6. Ye Z F, Dai J S, Xu X, et al. DOA estimation for uniform linear array with mutual coupling. IEEE Trans Aerospace Electron Syst, 2009, 45: 280–288

    Article  Google Scholar 

  7. Wang B H, Wang Y L, Chen H. Robust DOA estimation and mutual coupling self-calibration algorithm for (in Chinese). Sci China Ser E-Tech Sci, 2004, 34: 229–235

    Google Scholar 

  8. Ng B C, See C M S. Sensor array calibration using a maximum-likelihood approach. IEEE Trans Antenn Propag, 1996, 44: 827–835

    Article  Google Scholar 

  9. Jaffer A G. Constrained mutual coupling estimation for array calibration. In: Proceeding of the 35th Asilomar Conference on Signal, Systems and Computers, Pacific Grove, USA, 2001. 1273–1277

  10. Jia Y K, Bao Z, Wu H. A new calibration technique with signal sources for position, gain and phase uncertainty of sensor array (in Chinese). Acta Electron Sin, 1996, 24: 47–52

    Google Scholar 

  11. See C M S, Poth B K. Parametric sensor array calibration using measured steering vectors of uncertain locations. IEEE Trans Signal Process, 1999, 47: 1133–1137

    Article  Google Scholar 

  12. Wang D, Wu Y. Array errors active calibration algorithm and its improvement (in Chinese). Sci China Inf Sci, 2010, 53: 1016–1033

    Article  MathSciNet  Google Scholar 

  13. Weiss A J, Friedlander B. DOA and steering vector estimation using a partially calibrated array. IEEE Trans Aerospace Electron Syst, 1996, 32: l047–l057

    Article  Google Scholar 

  14. Li M H, Lu Y L. Maximum likelihood processing for arrays with partially unknown sensor gains and phases. In: Proceedings of the 7th International Conference on ITS Telecommunications, Sophia Antipolis, France, 2007. 1–6

  15. Liao B, Liao G S. Method for array gain and phase uncertainties calibration based on ISM and ESPRIT (in Chinese). J Syst Engineer Electron, 2009, 20: 223–228

    Google Scholar 

  16. Wang B H, Wang Y L, Chen H, et al. Array calibration of angularly dependent gain and phase uncertainties with carry-on instrumental sensors (in Chinese). Sci China Ser E-Inf Sci, 2004, 34: 906–918

    Google Scholar 

  17. Wang B H, Wang Y L, Guo Y. Mutual coupling calibration with instrumental sensors. Electron Lett, 2004, 40: 373–374

    Google Scholar 

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Authors and Affiliations

  1. Institute of Information Engineering, Information Engineering University, Zhengzhou, 450002, China

    Ding Wang & Ying Wu

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  1. Ding Wang
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  2. Ying Wu
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Correspondence to Ding Wang.

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Wang, D., Wu, Y. Array errors active calibration algorithm based on instrumental sensors. Sci. China Inf. Sci. 54, 1500–1511 (2011). https://doi.org/10.1007/s11432-011-4233-8

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  • DOI: https://doi.org/10.1007/s11432-011-4233-8

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