Sequential high-resolution direction finding from higher order statistics

IEEE Transactions on Signal Processing

Volumn 58, Issue 8, 2010, Pages 4144-4155

  Birot, Gwénaël ^a,b   Albera, Laurent ^a,b   Chevalier, Pascal ^c  

^a INSERM   (France)

^b UNIVERSITÉ DE RENNES 1   (France)

^c THALES COMMUNICATIONS   (France)

Author keywords

High resolution direction finding; higher order statistics; sequential 2q MUSIC like techniques; virtual arrays

Indexed keywords

EID: 77954598374     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2010.2049569     Document Type: Article

References (31)

1. I. Merlet, "Dipole modeling of interictal and ictal EEG and MEG paroxysms," Epileptic Disord., Special Issue, pp. 11-36, Jul. 2001.
2. C. Plummer, A. S. Harvey, and M. Cook, "EEG source localization in focal epilepsy: Where are we now?," Epilepsia, Oct. 2007.
3. S. Miron, N. Le Bihan, and J. I. Mars, "Vector-sensor MUSIC for polarized seismic sources localization," EURASIP J. Appl. Signal Process., vol.10, pp. 74-84, Oct. 2005.
4. H. Krim and M. Viberg, "Two decades of signal processing: The parametric approach," IEEE Signal Process. Mag., vol.13, pp. 67-94, Jul. 1996.
5. G. Bienvenu and L. Kopp, "Optimality of high resolution array processing using the eigensystem approach," IEEE Trans. Acoust. Speech Signal Process., vol.31, no.5, pp. 1235-1247, Oct. 1983.
6. R. O. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag., vol.34, no.3, pp. 276-280, March 1986, reprint of the original 1979 paper from the RADC Spectrum Estimation Workshop.
7. R. Roy and T. Kailath, "ESPRIT-estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoust., Speech, Signal Process., vol.37, no.7, pp. 984-995, Jul. 1989.
8. A. Paulraj and T. Kailath, "Eigenstructure methods for direction of arrival estimation in the presence of unknown noise field," IEEE Trans. Aerosp. Electron. Syst., vol.34, no.1, pp. 13-20, February 1986.
9. E. Ferrara and T. Parks, "Direction finding with an array of antennas having diverse polarizations," IEEE Trans. Antennas Propag., vol.31, pp. 231-236, Mar. 1983.
10. P. Forster and C. Nikias, "Bearing estimation in the bispectrum domain," IEEE Trans. Signal Process., vol.39, no.9, pp. 1994-2006, Sep.r 1991.
11. S. Shamsunder and G. B. Giannakis, "Signal selective localization of non-Gaussian cyclostationary sources," IEEE Trans. Speech Audio Process., vol.42, no.10, pp. 2860-2864, Oct. 1994.
12. P. Chevalier, A. Ferreol, L. Albera, and G. Birot, "Higher order direction finding from arrays with diversely polarized antennas: The pd-2qmusic algorithms," IEEE Trans. Signal Process., vol.55, no.11, pp. 5337-5350, Nov. 2007.
13. B. Porat and B. Friedlander, "Direction finding algorithms based on high-order statistics," IEEE Trans. Signal Process., vol.39, no.9, pp. 2016-2024, Sep. 1991.
14. P. Chevalier, A. Ferreol, and L. Albera, "High-resolution direction finding from higher order statistics: The 2q-MUSIC algorithm," IEEE Trans. Signal Process., vol.54, no.8, pp. 2986-2997, Aug. 2006.
15. I. Ziskind and M. Wax, "Maximum likelihood localization of multiple sources by alternating projection," IEEE Trans. Acoust., Speech Signal Process., vol.36, no.10, pp. 1553-1560, Oct. 1988.
16. S. K. Oh and C. K. Un, "A sequential estimation approach for performance improvement of eigenstructure-based methods in array processing," IEEE Trans. Signal Process., vol.41, pp. 457-463, 1993.
17. J. C. Mosher and R. M. Leahy, "Source localization using Recursively Applied and Projected (RAP) MUSIC," IEEE Trans. Signal Process., vol.47, no.2, pp. 332-340, Feb. 1999.
18. P. Stoica, P. Handel, and A. Nehorai, "Improved sequential music," IEEE Trans. Aerosp. Electron. Syst., vol.31, no.4, pp. 1230-1239, Oct. 1995.
19. F. Li and R. Vaccaro, "Sensitivity analysis of DOA estimation algorithms to sensor errors," IEEE Trans. Aerosp. Electron Syst., vol.28, no.3, pp. 708-717, Jul. 1992.
20. A. L. Swindlehurst and T. Kailath, "A performance analysis of subspaced- based methods in the presence of model errors, part I: The MUSIC algorithm," IEEE Trans. Signal Process., vol.40, no.3, pp. 1758-1773, Jul. 1992.
21. P. McCullagh, Tensor Methods in Statistics, ser. Monographs on Statistics and Applied Probability. New York: Chapman and Hall, 1987.
22. P. Amblard, M. Gaeta, and J. Lacoume, "Statistics for complex variables and signals-parts I and II," Signal Process., Elsevier, vol.53, pp. 1-25, Aug. 1996.
23. L. Albera, A. Ferreol, P. Comon, and P. Chevalier, "Blind identification of overcomplete mixtures of sources (BIOME)," Linear Algebra Appl., vol.391C, pp. 3-30, Nov. 2004.
24. P. Chevalier, L. Albera, A. Ferreol, and P. Comon, "On the virtual array concept for higher order array processing," IEEE Trans. Signal Process., vol.53, no.4, pp. 1254-1271, Apr. 2005.
25. 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, Jun. 2000.
26. 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, pp. 845-861, April 2004.
27. C. D. Meyer, Matrix Analysis and Applied Linear Algebra. Philadelphia, PA: SIAM, 2000.
28. H. W. Sorenson, Parameter Estimation: Principles and Problems. New York: Marcel Dekker, 1980.
29. J. G. Proakis, Digital Communications, 3rd ed. New York: McGraw- Hill, 1995.
30. A. Smilde and R. B. P. Geladi, Multi-Way Analysis. NewYork:Wiley, 2004.
31. A. Ferreol and P. Chevalier, "Correction to 'On the behavior of current second and higher order blind source separation methods for cyclostationary sources'," IEEE Trans. Signal Process., vol.50, no.4, p. 990, Apr. 2002.