Direction finding and mutual coupling estimation for uniform rectangular arrays

A novel two-dimensional (2-D) direct-of-arrival (DOA) and mutual coupling coefficients estimation algorithm for uniform rectangular arrays (URAs) is proposed. A general mutual coupling model is first built based on banded symmetric Toeplitz matrices, and then it is proved that the steering vector of a URA in the presence of mutual coupling has a similar form to that of a uniform linear array (ULA). The 2-D DOA estimation problem can be solved using the rank-reduction method. With the obtained DOA information, we can further estimate the mutual coupling coefficients. A better performance is achieved by our proposed algorithm than those auxiliary sensor-based ones, as verified by simulation results. HighlightsWe create a general mutual coupling model for uniform rectangular array (URA).The steering vector of a URA with mutual coupling is similar to that of a ULA.An array calibration algorithm without auxiliary sensors for URAs is proposed.Our algorithm has a better performance than auxiliary sensor based algorithms.

[1]  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).

[2]  M. Viberg,et al.  Two decades of array signal processing research: the parametric approach , 1996, IEEE Signal Process. Mag..

[3]  Marius Pesavento,et al.  Direction finding in partly calibrated sensor arrays composed of multiple subarrays , 2002, IEEE Trans. Signal Process..

[4]  Wenyi Wang,et al.  L-shaped array-based elevation and azimuth direction finding in the presence of mutual coupling , 2011, Signal Process..

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

[6]  Jisheng Dai,et al.  A Recursive RARE Algorithm for DOA Estimation With Unknown Mutual Coupling , 2014, IEEE Antennas and Wireless Propagation Letters.

[7]  Messaoud Benidir,et al.  The propagator method for source bearing estimation , 1995, Signal Process..

[8]  N. Tayem,et al.  L-shape 2-dimensional arrival angle estimation with propagator method , 2005 .

[9]  Tieqi Xia,et al.  Decoupled Estimation of 2-D Angles of Arrival Using Two Parallel Uniform Linear Arrays , 2007, IEEE Transactions on Antennas and Propagation.

[10]  Wei Zhang,et al.  Computationally efficient 2-D DOA estimation for uniform rectangular arrays , 2014, Multidimens. Syst. Signal Process..

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

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

[13]  Liping Li,et al.  A Computationally Efficient Subspace Algorithm for 2-D DOA Estimation with L-shaped Array , 2014, IEEE Signal Process. Lett..

[14]  Junli Liang,et al.  Joint Elevation and Azimuth Direction Finding Using L-Shaped Array , 2010, IEEE Transactions on Antennas and Propagation.

[15]  B. Friedlander,et al.  Mutual coupling effects on phase-only direction finding , 1992 .

[16]  Z. Ye,et al.  2-D DOA Estimation in the Presence of Mutual Coupling , 2008, IEEE Transactions on Antennas and Propagation.

[17]  Michael D. Zoltowski,et al.  Closed-form 2-D angle estimation with rectangular arrays in element space or beamspace via unitary ESPRIT , 1996, IEEE Trans. Signal Process..

[18]  Michael D. Zoltowski,et al.  Eigenstructure techniques for 2-D angle estimation with uniform circular arrays , 1994, IEEE Trans. Signal Process..

[19]  Guisheng Liao,et al.  A fast algorithm for 2-D direction-of-arrival estimation , 2003, Signal Process..

[20]  Yufeng Zhang,et al.  Autocalibration algorithm for mutual coupling of planar array , 2010, Signal Process..

[21]  M. Leong,et al.  Decoupled 2D Direction of Arrival Estimation Using Compact Uniform Circular Arrays in the Presence of Elevation-Dependent Mutual Coupling , 2010, IEEE Transactions on Antennas and Propagation.

[22]  C. Roller,et al.  Effects of mutual coupling on super-resolution DF in linear arrays , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.