Direction-of-arrival estimation via twofold mode-projection

A new tensorial model is herein established for a special multi-invariant array of identically oriented ideal electromagnetic (EM) vector-sensors composed of small loops and/or short dipoles, under which a multilinear algebra based direction-of-arrival (DOA) estimation algorithm is proposed. The method provides DOA estimates (decoupled from polarization) by performing a twofold mode-projection which relies on the dual mode orthogonality of the newly defined 'tensor' signal-subspace and twofold mode noise-subspaces. The method can simultaneously exploit the polarization diversity and multi-invariance data structure of an EM vector-sensor array in a compact tensorial fashion, and is very competent for DOA estimation in a multipath environment. Simulation results are provided to illustrate the performance of the proposed method.

[1]  Yimin Zhang,et al.  Spatial polarimetric time-frequency distributions for direction-of-arrival estimations , 2006, IEEE Transactions on Signal Processing.

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

[3]  David Brie,et al.  Identifiability of the parafac model for polarized source mixture on a vector sensor array , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

[4]  Björn E. Ottersten,et al.  Multiple invariance ESPRIT , 1992, IEEE Trans. Signal Process..

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

[6]  Xiaofei Zhang,et al.  Blind PARAFAC Signal Detection for Polarization Sensitive Array , 2007, EURASIP J. Adv. Signal Process..

[7]  V. Koivunen,et al.  DoA and Polarization Estimation using Arbitrary Polarimetric Array Configurations , 2006, Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006..

[8]  K. T. Wong,et al.  Self-initiating MUSIC-based direction finding and polarization estimation in spatio-polarizational beamspace , 2000 .

[9]  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..

[10]  Nicolas Le Bihan,et al.  MUSIC Algorithm for Vector-Sensors Array Using Biquaternions , 2007, IEEE Transactions on Signal Processing.

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

[12]  B. Friedlander,et al.  Direction finding for diversely polarized signals using polynomial rooting , 1991, [1991] Conference Record of the Twenty-Fifth Asilomar Conference on Signals, Systems & Computers.

[13]  Jian Li,et al.  Efficient direction and polarization estimation with a COLD array , 1996 .

[14]  Joseph Tabrikian,et al.  An efficient vector sensor configuration for source localization , 2004, IEEE Signal Processing Letters.

[15]  Nicolas Le Bihan,et al.  Quaternion-MUSIC for vector-sensor array processing , 2006, IEEE Transactions on Signal Processing.

[16]  Yingbo Hua,et al.  A pencil-MUSIC algorithm for finding two-dimensional angles and polarizations using crossed dipoles , 1993 .

[17]  Yougen Xu,et al.  Polarimetric angular smoothing algorithm for an electromagnetic vector-sensor array , 2007 .

[18]  K. T. Wong,et al.  Closed-form direction finding and polarization estimation with arbitrarily spaced electromagnetic vector-sensors at unknown locations , 2000 .

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

[20]  Nicolas Le Bihan,et al.  Vector-Sensor MUSIC for Polarized Seismic Sources Localization , 2005, EURASIP J. Adv. Signal Process..

[21]  K. T. Wong.  Direction finding/polarization estimation-dipole and/or loop triad(s) , 2001 .

[22]  Thomas Kailath,et al.  On spatial smoothing for direction-of-arrival estimation of coherent signals , 1985, IEEE Trans. Acoust. Speech Signal Process..

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

[24]  Wong,et al.  Root-MUSIC-based direction-finding and polarization estimation using diversely polarized possibly collocated antennas , 2004, IEEE Antennas and Wireless Propagation Letters.

[25]  J. Compton.  The tripole antenna: An adaptive array with full polarization flexibility , 1981 .

[26]  L. Lathauwer,et al.  Signal Processing based on Multilinear Algebra , 1997 .

[27]  Joseph Tabrikian,et al.  Source localization using vector sensor array in a multipath environment , 2004, IEEE Transactions on Signal Processing.

[28]  T. Parks,et al.  Direction finding with an array of antennas having diverse polarizations , 1983 .

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

[30]  L. Lo Monte,et al.  Distributed 6D Vector Antennas Design for Direction of Arrival Applications , 2007, 2007 International Conference on Electromagnetics in Advanced Applications.

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