Coherent Source Localization: Bicomplex Polarimetric Smoothing with Electromagnetic Vector-Sensors

The work presented here considers coherent source localization with bicomplex. A new polarimetric smoothing variant is proposed by using bicomplex modeled subarrays obtained from complete electromagnetic vector-sensor array, and a MUSIC-like algorithm is further developed. The identifiability, computational complexity, and the choice of selection vectors for the proposed method are also addressed. Simulations show that the proposed method can provide better direction-of-arrival estimates than the complex methods in perturbations caused by noise, short data, and model errors.

[1]  H. So,et al.  Passive Localization of Near-Field Sources With a Polarization Sensitive Array , 2007, IEEE Transactions on Antennas and Propagation.

[2]  Yougen Xu,et al.  Quaternion ESPRIT for direction finding with a polarization sentive array , 2008, 2008 9th International Conference on Signal Processing.

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

[4]  Jin He,et al.  Polarization Difference Smoothing for Direction Finding of Coherent Signals , 2010, IEEE Transactions on Aerospace and Electronic Systems.

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

[6]  P. Frossard,et al.  Tree-Based Pursuit: Algorithm and Properties , 2006, IEEE Transactions on Signal Processing.

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

[8]  Nicolas Le Bihan,et al.  Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing , 2004, Signal Process..

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

[10]  Commutative Hypercomplex Mathematics , 2006 .

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

[12]  John D. Sahr,et al.  Passive Direction Finding Using Airborne Vector Sensors in the Presence of Manifold Perturbations , 2007, IEEE Transactions on Signal Processing.

[13]  K.T. Wong,et al.  Virtual-manifold ambiguity in HOS-based direction-finding with electromagnetic vector-sensors , 2008, IEEE Transactions on Aerospace and Electronic Systems.

[14]  Soo-Chang Pei,et al.  Commutative reduced biquaternions and their Fourier transform for signal and image processing applications , 2004, IEEE Transactions on Signal Processing.

[15]  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..

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

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

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

[19]  Aykut Bultan,et al.  A four-parameter atomic decomposition of chirplets , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[20]  M.,et al.  Subspace Fitting with Diversely Polarized Antenna Arrays , 2009 .

[21]  Soo-Chang Pei,et al.  Eigenvalues and Singular Value Decompositions of Reduced Biquaternion Matrices , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[22]  H.-D. Schutte,et al.  Hypercomplex numbers in digital signal processing , 1990, IEEE International Symposium on Circuits and Systems.

[23]  Benjamin Friedlander,et al.  Maximum likelihood signal estimation for polarization sensitive arrays , 1993 .

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

[25]  Liu Guangbin,et al.  A novel Matching Pursuit algorithm with adaptive subdictionary , 2008, 2008 9th International Conference on Signal Processing.

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

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

[28]  Jin He,et al.  Computationally efficient two-dimensional direction-of-arrival estimation of electromagnetic sources using the propagator method , 2009 .

[29]  K.T. Wong,et al.  CRB: Sinusoid-Sources' Estimation using Collocated Dipoles/Loops , 2009, IEEE Transactions on Aerospace and Electronic Systems.

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

[31]  G. De Jager,et al.  Filtering In Hough Space To Enhance Or Detect Linear Features , 1990, IEEE South African Symposium on Communications and Signal Processing.

[32]  Evan J. Hughes,et al.  Simultaneous detection and parameter estimation of multiple linear chirps , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[33]  Arye Nehorai,et al.  Polarimetric modeling and parameter estimation with applications to remote sensing , 1995, IEEE Trans. Signal Process..

[34]  Enrico Nichelatti,et al.  Commutative hypercomplex numbers and functions of hypercomplex variable: a matrix study , 2005 .

[35]  J. Grajal,et al.  Multiple signal detection and estimation using atomic decomposition and EM , 2006, IEEE Transactions on Aerospace and Electronic Systems.

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

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

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

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

[40]  Xiang-Gen Xia,et al.  Discrete chirp-Fourier transform and its application to chirp rate estimation , 2000, IEEE Trans. Signal Process..

[41]  P. Flandrin,et al.  Chirp hunting , 1998, Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380).

[42]  Zhiwen Liu,et al.  Quad-Quaternion MUSIC for DOA Estimation Using Electromagnetic Vector Sensors , 2008, EURASIP J. Adv. Signal Process..

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

[44]  Zhiwen Liu,et al.  Direction-of-arrival estimation via twofold mode-projection , 2009, Signal Process..

[45]  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.

[46]  Jian Li,et al.  Efficient parameter estimation of partially polarized electromagnetic waves , 1994, IEEE Trans. Signal Process..

[47]  Robert M. Yamaleev,et al.  Multicomplex algebras on polynomials and generalized Hamilton dynamics , 2006 .

[48]  Arye Nehorai,et al.  Linear independence of steering vectors of an electromagnetic vector sensor , 1996, IEEE Trans. Signal Process..

[49]  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..

[50]  David Brie,et al.  DOA estimation for polarized sources on a vector-sensor array by PARAFAC decomposition of the fourth-order covariance tensor , 2008, 2008 16th European Signal Processing Conference.

[51]  Laurent Albera,et al.  Higher Order Direction Finding From Arrays With Diversely Polarized Antennas: The PD-2q-MUSIC Algorithms , 2007, IEEE Transactions on Signal Processing.

[52]  Stéphane Mallat,et al.  Matching pursuits with time-frequency dictionaries , 1993, IEEE Trans. Signal Process..

[53]  Sacha Krstulovic,et al.  Mptk: Matching Pursuit Made Tractable , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[54]  Corrado Segre,et al.  Le rappresentazioni reali delle forme complesse e gli enti iperalgebrici , 1892 .