High-resolution direction finding from higher order statistics: The 2q-MUSIC algorithm

IEEE Transactions on Signal Processing

Volumn 54, Issue 8, 2006, Pages 2986-2997

  Chevalier, Pascal ^a   Ferréol, Anne ^a   Albera, Laurent ^b  

^a THALES COMMUNICATIONS   (France)

^b UNIVERSITÉ DE RENNES 1   (France)

Author keywords

2q MUSIC; Direction finding; Higher order; Modeling errors; MUSIC; Resolution; Underdetermined mixtures; Virtual array

Indexed keywords

COMPUTER SIMULATION; ECHO SUPPRESSION; ERRORS; ROBUSTNESS (CONTROL SYSTEMS); WHITE NOISE;

DIRECTION FINDING; HIGHER ORDER; MODELLING ERRORS; MUSIC METHOD; UNDETERMINED MIXTURES; VIRTUAL ARRAY;

SIGNAL INTERFERENCE;

EID: 33746533836     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.877661     Document Type: Article

References (37)

1. P. O. Amblard, M. Gaeta, and J. L. Lacoume, "Statistics for complex variables and signals - Part I and II," Signal Process., vol. 53, no. 1, pp. 1-25, Aug. 1996.
2. 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.
3. Y. Bresler and A. Macovski, "Exact maximum likelihood parameter estimation of superimposed exponential signals in noise," IEEE Trans. Acoust., Speech, Signal Process., vol. 34, no. 5, pp. 1081-1089, Oct. 1986.
4. D. R. Brillinger, "A maximum likelihood approach to frequency wavenumber analysis," IEEE Trans. Acoust., Speech, Signal Process., vol. 33, no. 4, pp. 1076-1085, Oct. 1985.
5. J. P. Burg, "The relationship between maximum entropy spectra and maximum likelihood spectra," Geophys., vol. 37, no. 2, pp. 375-376, Apr. 1972.
6. J. Capon, "High resolution frequency-wavenumber spectrum analysis," Proc. IEEE, vol. 57, pp. 1408-1418, Feb. 1969.
7. J. F. Cardoso, "Localisation et identification par la quadricovariance," Traitement du Signal, vol. 7, no. 5, 1990.
8. 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.
9. 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.
10. 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.
11. H. H. Chiang and C. L. Nikias, "The ESPRIT algorithm with high order statistics," in Proc. Workshop Higher Order Statistics, Vail, Jun. 1989, pp. 163-168.
12. R. T. Compton Jr., Adaptive Antennas - Concepts and Performance. Englewood Cliffs, NJ: Prentice-Hall, 1988, p. 07632.
13. A. V. Dandawate and G. B. Giannakis, "Asymptotic theory of mixed time averages and Kth-order cyclic-moment and cumulant statistics," IEEE Trans. Inf. Theory, vol. 41, no. 1, pp. 216-232, Jan. 1995.
14. C. Demeure and P. Chevalier, "The smart antennas at thomson-CSF communications: Concepts, implementations, performances, applications," Annales des Télécommunications, vol. 53, no. 11-12, pp. 466-482, Nov.-Dec. 1998.
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. 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.
17. A. Ferreol, P. Chevalier, and L. Albera, "Higher order blind separation of non zero-mean cyclostationary sources," in Proc. EUSIPCO 02, Toulouse, France, Sep. 2002, pp. 103-106.
18. 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.
19. A. Ferreol, P. Larzabal, and M. Viberg, "On the asymptotic performance analysis of subspace DOA estimation in the presence of modeling errors: Case of MUSIC," IEEE Trans. Signal Process., vol. 54, no. 3, pp. 907-920, Mar. 2006.
20. B. Friedlander, "A sensitivity analysis of the MUSIC algorithm," IEEE Trans. Acoust. Speech, Signal Process., vol. 3 8, no. 10, pp. 1740-1751, Oct. 1990.
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. Germain, A. Maguer, and L. Kopp, "Comparison of resolving power of array processing methods by using an analytical criterion," in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), Glasgow, U.K., May 1989.
23. M. Kaveh and A. J. Barabell, "The statistical performance of the MUSIC and the minimum norm algorithms in resolving plane waves in noise," IEEE Trans. Acoust., Speech, Signal Process., vol. 34, no. 2, pp. 331-341, Apr. 1986.
24. R. Kumaresan and D. W. Tufts, "Estimating the angles of arrival of multiple plane waves," IEEE Trans. Aerosp. Electron. Syst., vol. 19, no. 1, pp. 134-138, Jan. 1983.
25. F. Li and R. J. Vaccaro, "Sensitivity analysis of DOA estimation algorithms to sensor errors," IEEE Trans. Aerosp. Electron. Syst., vol. 28, no. 3, pp. 708-717, Jul. 1992.
26. P. M. Cullagh, "Tensor methods in statistics," in Monographs on Statistics and Applied Probability. London, U.K.: Chapman & Hall, 1987.
27. A. Paulraj and T. Kailath, "Eigenstructure methods for direction of arrival estimation in the presence of unknown noise field," IEEE Trans. Acoust., Speech, Signal Process., vol. 34, no. 1, pp. 13-20, Feb. 1986.
28. B. Picinbono, "On circularity," IEEE Trans. Signal Process., vol. 42, no. 12, pp. 3473-3482, Dec. 1994.
29. B. Porat and B. Friedlander, "Analysis of the asymptotic relative efficiency of the MUSIC algorithm," IEEE Trans. Acoust. Speech. Signal Process., vol. 36, no. 4, pp. 532-544, Apr. 1988.
30. 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.
31. R. Roy, A. Paulraj, and T. Kailath, "ESPRIT - A subspace rotation approach to estimation of parameters of cisoids in noise," IEEE Trans. Acoust., Speech, Signal Process., vol. 34, no. 5, pp. 1340-1342, Oct. 1986.
32. R. O. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag., vol. 34, no. 3, pp. 276-280, Mar. 1986.
33. S. Shamsunder and G. B. Giannakis, "Modeling of non-Gaussian array data using cumulants: DOA estimation of more sources with less sensors," Signal Process., vol. 30, no. 3, pp. 279-297, Feb. 1993.
34. P. Stoica and A. Nehorai, "MUSIC, maximum likelihood and Cramer Rao bound," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 12, pp. 720-741, May 1989.
35. P. Stoica and A. Nehorai, "MUSIC, maximum likelihood and Cramer Rao bound: Further results and comparisons," IEEE Trans. Acoust., Speech, Signal Process., vol. 38, no. 12, pp. 2140-2150, Dec. 1990.
36. 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. 7, pp. 1758-1773, Jul. 1992.
37. M. Viberg and B. Ottersten, "Sensor array processing based on subspace fitting," IEEE Trans. Acoust., Speech, Signal Process., vol. 39, no. 5, pp. 1110-1121, May 1991.