L-shaped array-based elevation and azimuth direction finding in the presence of mutual coupling

For two-dimensional (2-D) directions-of-arrival (DOA) estimation problem, both the mutual coupling and the failure in pairing can cause severe performance degradation. In this paper, a new elevation and azimuth direction finding algorithm is developed to overcome the above-mentioned two difficulties in the L-shaped array configuration. The key points of this paper are: (i) constructing several correlation matrices to blindly compensate the effect of unknown mutual coupling using the outputs of properly chosen sensors and (ii) deriving a rank-reduction propagator method to estimate elevation and azimuth angles so as to avoid pairing parameters. Simulation results are presented to validate the performance of the proposed method.

[1]  Jian-Feng Gu,et al.  Joint SVD of Two Cross-Correlation Matrices to Achieve Automatic Pairing in 2-D Angle Estimation Problems , 2007, IEEE Antennas and Wireless Propagation Letters.

[2]  Luxi Yang,et al.  Blind Calibration and DOA Estimation With Uniform Circular Arrays in the Presence of Mutual Coupling , 2006 .

[3]  Chao Liu,et al.  DOA estimation based on fourth-order cumulants with unknown mutual coupling , 2009, Signal Process..

[4]  J. D. Río,et al.  The matrix pencil method for two-dimensional direction of arrival estimation employing an L-shaped array , 1997 .

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

[6]  J.F. Bohme,et al.  Direction of arrival estimation in uniform circular arrays composed of directional elements , 2002, Sensor Array and Multichannel Signal Processing Workshop Proceedings, 2002.

[7]  Jerry M. Mendel,et al.  Applications of cumulants to array processing - I. Aperture extension and array calibration , 1995, IEEE Trans. Signal Process..

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

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

[10]  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.

[11]  S. Kikuchi,et al.  Pair-Matching Method for Estimating 2-D Angle of Arrival With a Cross-Correlation Matrix , 2006, IEEE Antennas and Wireless Propagation Letters.

[12]  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).

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

[14]  Y. Hua,et al.  An L-shaped array for estimating 2-D directions of wave arrival , 1991 .

[15]  Xingzhao Liu,et al.  Comments on "L-Shape 2-Dimensional Arrival Angle Estimation With Propagator Method , 2008 .

[16]  S. Kay Fundamentals of statistical signal processing: estimation theory , 1993 .

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

[18]  Feifei Gao,et al.  A generalized ESPRIT approach to direction-of-arrival estimation , 2005, IEEE Signal Processing Letters.

[19]  H. Rogier,et al.  A Hybrid UCA-RARE/Root-MUSIC Approach for 2-D Direction of Arrival Estimation in Uniform Circular Arrays in the Presence of Mutual Coupling , 2007, IEEE Transactions on Antennas and Propagation.

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

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

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

[23]  Bhaskar D. Rao,et al.  Performance analysis of Root-Music , 1989, IEEE Trans. Acoust. Speech Signal Process..

[24]  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).