Robust DOA estimation and array calibration in the presence of mutual coupling for uniform linear array

The presence of unknown mutual coupling between array elements is known to significantly degrade the performance of most high-resolution direction of arrival (DOA) estimation algorithms. In this paper, a robust subspace-based DOA estimation and array auto-calibration algorithm is proposed for uniformly linear array (ULA), when the array mutual coupling is present. Based on a banded symmetric Toeplitz matrix model for the mutual coupling of ULA, the algorithm provides an accurate and high-resolution DOA estimate without any knowledge of the array mutual couplings. Moreover, a favorable estimate of mutual coupling matrix can also be achieved simultaneously for array auto-calibration. The algorithm is realized just via one-dimensional search or polynomial rooting, with no multidimensional nonlinear search or convergence burden involved. The problem of parameter ambiguity, statistically consistence and efficiency of the new estimator are also analyzed. Monte-Carlo simulation results are also provided to demonstrate the effectiveness and behavior of the proposed algorithm.

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

[2]  Arthur Jay Barabell,et al.  Improving the resolution performance of eigenstructure-based direction-finding algorithms , 1983, ICASSP.

[3]  I. Gupta,et al.  Effect of mutual coupling on the performance of adaptive arrays , 1983 .

[4]  C. Yeh,et al.  Bearing estimations with mutual coupling present , 1989 .

[5]  Anthony J. Weiss,et al.  Direction finding in the presence of mutual coupling , 1991 .

[6]  Say Song Goh,et al.  A study of the rank-ambiguity issues in direction-of-arrival estimation , 1996, IEEE Trans. Signal Process..

[7]  T. Svantesson,et al.  The effects of mutual coupling using a linear array of thin dipoles of finite length , 1998, Ninth IEEE Signal Processing Workshop on Statistical Signal and Array Processing (Cat. No.98TH8381).

[8]  Thomas Svantesson,et al.  Modeling and estimation of mutual coupling in a uniform linear array of dipoles , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[9]  Boon-Kiat Poh,et al.  Parametric sensor array calibration using measured steering vectors of uncertain locations , 1999, IEEE Trans. Signal Process..

[10]  T. Svantesson,et al.  Mutual coupling compensation using subspace fitting , 2000, Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop. SAM 2000 (Cat. No.00EX410).

[11]  A.G. Jaffer.  Constrained mutual coupling estimation for array calibration , 2001, Conference Record of Thirty-Fifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256).

[12]  A. G. Jaffer,et al.  Sparse mutual coupling matrix and sensor gain/phase estimation for array auto-calibration , 2002, Proceedings of the 2002 IEEE Radar Conference (IEEE Cat. No.02CH37322).