On the virtual array concept for higher order array processing

IEEE Transactions on Signal Processing

Volumn 53, Issue 4, 2005, Pages 1254-1271

  Chevalier, Pascal ^a   Albera, Laurent ^b   Ferréol, Anne ^a   Comon, Pierre ^c  

^a THALES COMMUNICATIONS   (France)

^b UNIVERSITÉ DE RENNES 1   (France)

^c UNIVERSITY OF NICE SOPHIA ANTIPOLIS   (France)

Author keywords

2q MUSIC; And polarization diversities; Angular; Blind source identification; Higher order; HO direction finding; Identifiability; Space; Virtual array

Indexed keywords

BLIND SOURCE SEPARATION; ELECTROMAGNETIC WAVE POLARIZATION; MATRIX ALGEBRA; SENSORS; SIGNAL DETECTION; STATISTICAL METHODS;

ANGULAR-AND-POLARIZATION DIVERSITIES; BLIND SOURCE IDENTIFICATION; HIGHER ORDER ARRAY PROCESSING; HIGHER ORDER DIRECTION FINDING; IDENTIFIABILITY; MULTIPLE SIGNAL CLASSIFICATION; VIRTUAL ARRAY;

SIGNAL PROCESSING;

EID: 17444381528     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2005.843703     Document Type: Article

References (24)

1. L. Albera, A. Ferreol, P. Chevalier, and P. Comon, "ICAR, un algorithme d'ICA à convergence rapide robuste au bruit," in Proc. GRETSI, Paris, France, Sep. 2003.
2. L. Albera, A. Ferreol, P. Comon, and P. Chevalier, "Sixth order blind identification of underdetermined mixtures (BIRTH) of sources," in Proc. ICA, Nara, Japan, Apr. 2003, pp. 909-914.
3. L. Albera, A. Ferreol, P. Comon, and P. Chevalier, "Blind Identification of Overcomplete MixturEs of sources (BIOME)," Linear Algebra and Its Applications J., vol. 391, pp. 3-30, Nov. 2004.
4. J. F. Cardoso, "Localization et Identification par la quadricovariance," Traitement du Signal, vol. 7, no. 5, Jun. 1990.
5. J. F. Cardoso, "Super-symetric decomposition of the fourth-order cumulant tensor - blind identification of more sources than sensors," in Proc. ICASSP, Toronto, ON, Canada, May 1991, pp. 3109-3112.
6. J. F. Cardoso and E. Moulines, "Asymptotic performance analysis of direction finding algorithms based on fourth order cumulants," IEEE Trans. Signal Process., vol. 43, no. 1, pp. 214-224, Jan. 1995.
7. P. Chevalier and A. Ferreol, "On the virtual array concept for the fourth order direction finding problem," IEEE Trans. Signal Process. vol. 47, no. 9, pp. 2592-2595, Sep. 1999.
8. P. Chevalier, A. Ferreol, and L. Albera, "High resolution direction finding from higher order statistics: The 2q-MUSIC algorithm," IEEE Trans. Signal Process., submitted for publication.
9. H. H. Chiang and C. L. Nikias, "The ESPRIT algorithm with high order statistics," in Proc. Workshop Higher Order Statistics, Vail, CO, Jun. 1989, pp, 163-168.
10. P. Comon, "Blind channel identification and extraction of more sources than sensors," in Proc. SPIE Conf., San Diego, CA, Jul. 1998, pp. 2-13.
11. R. T. Compton Jr., Adaptive Antennas - Concepts and Performance. Englewood Cliffs, NJ: Prentice-Hall, 1988.
12. L. De Lathauwer, B. De Moor, and J. Vandewalle, "ICA techniques for more sources than sensors," in Proc. Workshop Higher Order Statistics, Caesara, Israel, Jun. 1999.
13. C. Demeure and P. Chevalier, "The smart antennas at Thomson-CSF Communications: Concepts, implementations, performances, applications," Annales Télécommun., vol. 53, no. 11-12, pp. 466-482, Nov.-Dec. 1998.
14. M. C. Dogan and J. M. Mendel, "Cumulant-based blind optimum beamforming," IEEE Trans. Aerosp. Electron. Syst., vol. 30, no. 3, pp. 722-741, Jul. 1994.
15. M. C. Dogan and J. M. Mendel, "Applications of cumulants to array processing - part I: aperture extension and array calibration," IEEE Trans. Signal Process., vol. 43, no. 5, pp. 1200-1216, May 1995.
16. M. C. Dogan and J. M. Mendel, "Method and Apparatus for Signal Analysis Employing a Virtual Cross Correlation Computer," Patent no. 5459668, Oct. 1995.
17. A. Ferreol, L. Albera, and P. Chevalier, "Fourth Order Blind Identification of Underdetermined Mixtures of sources (FOBIUM)," in Proc. ICASSP, Hong Kong, Apr. 2003, pp. 41-44.
18. A. Ferreol and P. Chevalier, "On the behavior of current second and higher order blind source separation methods for cyclostationary sources," IEEE Trans. Signal Process., vol. 48, no. 6, pp. 1712-1725, June 2000. Errata: vol. 50, no. 4, p 990, Apr. 2002.
19. A. Ferreol, P. Chevalier, and L. Albera, "Higher order blind separation of non zero-mean cyclostationary sources," in Proc. EUSIPCO, Toulouse, France, Sep. 2002, pp. 103-106.
20. A. Ferreol, P. Chevalier, and L. Albera, "Second order blind separation of first and second order cyclostationary sources - application to AM, FSK, CPFSK and deterministic sources," IEEE Trans. Signal Process. vol. 52, no. 4, pp. 845-861, Apr. 2004.
21. E. Gönen and J. M. Mendel, "Applications of cumulants to array processing - part VI: polarization and direction of arrival estimation with minimally constrained arrays," IEEE Trans. Signal Process., vol. 47, no. 9, pp. 2589-2592, Sep. 1999.
22. P. Mc Cullagh, "Tensor methods in statistics," in Monographs on Statistics and Applied Probability. London, U.K.: Chapman and Hall, 1987.
23. B. Porat and B. Friedlander, "Direction finding algorithms based on higher order statistics," IEEE Trans. Signal Process., vol. 39, no. 9, pp. 2016-2024, Sep. 1991.
24. R. O. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas. Propag., vol. AP-34, no. 3, pp. 276-280, Mar. 1986.