Source Localization Using Vector Sensor Array in

Coherent signals from distinct directions is a nat- ural characterization of the multipath propagation effect. This paper addresses the problem of coherent/fully correlated source localization using vector sensor arrays. The maximum likelihood (ML) and minimum-variance distortionless response (MVDR) estimators for source direction-of-arrival (DOA) and signal po- larization parameters are derived. These estimators require no search over the polarization parameters. In addition, a novel method for "decorrelating" the incident signals is presented. This method is based on the polarization smoothing algorithm (PSA) and enables the use of eigenstructure-based techniques, which assume uncorrelated or partially correlated signals. The method is implemented as a preprocessing stage before applying eigen- structure-based techniques, such as MUSIC. Unlike other existing preprocessing techniques, such as spatial smoothing and for- ward-backward (FB) averaging, this method is not limited to any specific array geometry. The performance of the proposed PSA preprocessing combined with MUSIC is evaluated and compared to the Cramer-Rao Bound (CRB) and the ML and MVDR estima- tors. Simulation results show that the MVDR and PSA-MUSIC asymptotically achieve the CRB for a scenario with two coherent sources with and without an uncorrelated interference source. A sensitivity study of PSA-MUSIC to source polarization was also conducted via simulations.

[1]  Chong Meng Samson See,et al.  Vector-sensor array processing for estimating angles and times of arrival of multipath communication signals , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[2]  Arye Nehorai,et al.  Cross-product algorithms for source tracking using an EM vector sensor , 1999, IEEE Trans. Signal Process..

[3]  Vellenki U. Reddy,et al.  A note on redundancy averaging , 1992, IEEE Trans. Signal Process..

[4]  Michael D. Zoltowski,et al.  Closed-form direction-finding with arbitrarily spaced electromagnetic vector-sensors at unknown locations , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[5]  Bernard Mulgrew,et al.  Performance of spatial smoothing algorithms for correlated sources , 1996, IEEE Trans. Signal Process..

[6]  Kah-Chye Tan,et al.  Efficient method for estimating directions-of-arrival of partially polarized signals with electromagnetic vector sensors , 1997, IEEE Trans. Signal Process..

[7]  Arye Nehorai,et al.  Identifiability in array processing models with vector-sensor applications , 1996, IEEE Trans. Signal Process..

[8]  M. Wax,et al.  Maximum likelihood localization of diversely polarized sources by simulated annealing , 1990 .

[9]  Jian Li,et al.  Improved angular resolution for spatial smoothing techniques , 1992, IEEE Trans. Signal Process..

[10]  Jeffrey L. Krolik,et al.  Relationships between adaptive minimum variance beamforming and optimal source localization , 2000, IEEE Trans. Signal Process..

[11]  S. Unnikrishna Pillai,et al.  Forward/backward spatial smoothing techniques for coherent signal identification , 1989, IEEE Trans. Acoust. Speech Signal Process..

[12]  Michael D. Zoltowski,et al.  ESPRIT-based 2-D direction finding with a sparse uniform array of electromagnetic vector sensors , 2000, IEEE Trans. Signal Process..

[13]  K. T. Wong,et al.  Uni-vector-sensor ESPRIT for multisource azimuth, elevation, and polarization estimation , 1997 .

[14]  Arye Nehorai,et al.  Separation and tracking of multiple broadband sources with one electromagnetic vector sensor , 2002 .

[15]  Kah-Chye Tan,et al.  An investigation on number of signals whose directions-of-arrival are uniquely determinable with an electromagnetic vector sensor , 1995, Signal Process..

[16]  Lal C. Godara Beamforming in the presence of correlated arrivals using structured correlation matrix , 1990, IEEE Trans. Acoust. Speech Signal Process..

[17]  G. F. Hatke Conditions for unambiguous source location using polarization diverse arrays , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[18]  R. Compton,et al.  Angle and polarization estimation using ESPRIT with a polarization sensitive array , 1991 .

[19]  Don H. Johnson,et al.  The effect of spatial averaging on spatial correlation matrices in the presence of coherent signals , 1990, IEEE Trans. Acoust. Speech Signal Process..

[20]  Arye Nehorai,et al.  Vector-sensor array processing for electromagnetic source localization , 1994, IEEE Trans. Signal Process..

[21]  Joseph Tabrikian,et al.  Optimal preprocessing for source localization by fewer receivers than sensors , 2001, Proceedings of the 11th IEEE Signal Processing Workshop on Statistical Signal Processing (Cat. No.01TH8563).

[22]  James E. Evans,et al.  Application of Advanced Signal Processing Techniques to Angle of Arrival Estimation in ATC Navigation and Surveillance Systems , 1982 .

[23]  Mati Wax,et al.  Direction finding with fewer receivers via time-varying preprocessing , 1999, IEEE Trans. Signal Process..

[24]  Arye Nehorai,et al.  Uniqueness study of measurements obtainable with arrays of electromagnetic vector sensors , 1996, IEEE Trans. Signal Process..

[25]  Ralph Otto Schmidt,et al.  A signal subspace approach to multiple emitter location and spectral estimation , 1981 .

[26]  A. Lee Swindlehurst,et al.  Subspace Fitting with Diversely Polarized Antenna Arrays , 1993 .

[27]  Michael D. Zoltowski,et al.  Closed-form eigenstructure-based direction finding using arbitrary but identical subarrays on a sparse uniform Cartesian array grid , 2000, IEEE Trans. Signal Process..

[28]  J. Li Direction and polarization estimation using arrays with small loops and short dipoles , 1993 .

[29]  Arye Nehorai,et al.  Estimating directions of arrival of completely and incompletely polarized signals with electromagnetic vector sensors , 1999, IEEE Trans. Signal Process..