Robust antenna array calibration and accurate angle estimation based on least trimmed squares

A robust antenna array calibration and single target angle estimation algorithm is proposed. The proposed algorithm is based on the least trimmed squares algorithm and operates in two steps. First, the conventional least squares algorithm is used to estimate the intermediate phases (or angle) and the residual values at each element are calculated. In the second step, it excludes large residual elements and uses only the smallest of them, which prevents large errors during the angle estimation. The least trimmed-based phase difference approximation algorithm is simple to implement and is a practical way of mitigating errors at the antenna elements that are due to hardware and imperfect calibration. The results demonstrate that our proposed algorithm is robust and outperforms other algorithms in three scenarios.

[1]  Hiroyuki Tsuji,et al.  Modified Array Calibration for Precise Angle-of-Arrival Estimation , 2005 .

[2]  Yongwan Park,et al.  Low complexity LTS-based NLOS error mitigation for localization , 2012, Ann. des Télécommunications.

[3]  A.H. Sayed,et al.  Network-based wireless location: challenges faced in developing techniques for accurate wireless location information , 2005, IEEE Signal Processing Magazine.

[4]  Shahriar Shirvani Moghaddam,et al.  A Comprehensive Survey on Antenna Array Signal Processing , 2011 .

[5]  Jun Jiang,et al.  Mutual coupling self-calibration algorithm for uniform linear array based on ESPRIT , 2012, 2012 2nd International Conference on Consumer Electronics, Communications and Networks (CECNet).

[6]  Erik Lier,et al.  Phased array calibration and characterization based on orthogonal coding: Theory and experimental validation , 2010, 2010 IEEE International Symposium on Phased Array Systems and Technology.

[7]  Fred Daum,et al.  MIMO radar: Snake oil or good idea? , 2008, 2009 International Waveform Diversity and Design Conference.

[8]  Peter J. Rousseeuw,et al.  Robust Regression and Outlier Detection , 2005, Wiley Series in Probability and Statistics.

[9]  B. Fleming,et al.  Recent Advancement in Automotive Radar Systems [Automotive Electronics] , 2012, IEEE Vehicular Technology Magazine.

[10]  Jun-ichi Takada,et al.  Accurate Angle-of-Arrival Estimation Method in Real System by Applying Calibration and Spatial Smoothing , 2007, IEICE Trans. Commun..

[11]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[12]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[13]  Shing-Chow Chan,et al.  DOA Estimation and Tracking of ULAs with Mutual Coupling , 2011 .

[14]  James R. Baxter,et al.  An experimental study of antenna array calibration , 2003 .