Oblique projections for direction-of-arrival estimation with prior knowledge

IEEE Transactions on Signal Processing

Volumn 56, Issue 4, 2008, Pages 1374-1387

  Boyer, Rémy ^a   Bouleux, Guillaume ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

Cram r Rao bound; MUSIC algorithm; Orthogonal and oblique projectors; Prior knowledge of DOA

Indexed keywords

ALGORITHMS; CRAMER-RAO BOUNDS; ESTIMATION; MATHEMATICAL MODELS; SIGNAL TO NOISE RATIO;

MUSIC ALGORITHM; OBLIQUE PROJECTOR; ORTHOGONAL PROJECTOR; PRIOR KNOWLEDGE;

DIRECTION OF ARRIVAL;

EID: 41849113475     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.909348     Document Type: Article

References (28)

1. R. T. Behrens and L. L. Scharf, "Signal processing applications of oblique projection operators," IEEE Trans. Signal Process., vol. 42, no. 6, pp. 1413-1424, Jun. 1994.
2. Y. Bistritz, "Zero location with respect to the unit circle of discrete-time linear system polnomials," Proc. IEEE, vol. 72, no. 9, pp. 1131-1142, Sep. 1984.
3. G. Bouleux and R. Boyer, "Zero-forcing based sequential MUSIC algorithm," in Proc. 32nd IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP'07), 2007, vol. 3, pp. 1017-1020.
4. R. Boyer and G. Bouleux, "Cramér-Rao lower bound for prior-subspace estimation," in Proc. IEEE Sens. Array Multi-channel Process. (SAM 2006), 2006, pp. 394-398.
5. H. Chen, S. Van Huffel, D. van Ormondt, and R. de Beer, "Parameter estimation with prior knowledge of known signal poles for the quantification of NMR spectroscopy data in the time domain," J. Magnet. Reson., ser. A, Vol. 119, no. 2, pp. 225-234, Apr. 1996.
6. R. D. DeGroat, E. M. Dowling, and D. A. Linebarger, "The constrained MUSIC problem," IEEE Trans. Signal Process., Vol. 41, no. 3, pp. 1445-1449, Mar. 1993.
7. Y. Ephraim, N. Merhav, and H. L. Van Trees, "Min-norm interpretations and consistency of MUSIC, MODE and ML," IEEE Trans. Signal Process. vol. 43, no. 12, pp. 2937-2942, Dec. 1995.
8. P. C. Hansen and S. H. Jensen, "Prewhitening for rank-deficient noise in subspace methods for noise reduction," IEEE Trans. Signal Process., vol. 53, no. 10, pt. 1, pp. 3718-3726, Oct. 2005.
9. S. Kayalar and H. L. Weinert, "Oblique projections: Formulas, algorithms and error bounds," Math. Contr. Signals Syst., Vol. 2, no. 1, pp. 33-45, 1989.
10. H. Krim and M. Viberg, "Two decades of array signal processing research: The parametric approach," IEEE Signal Process. Mag., Vol. 13, no. 4, pp. 67-94, Jul. 1996.
11. D. A. Linebarger, R. D. DeGroat, E. M. Dowling, P. Stoica, and G. L. Fudge, "Incorporating a priori information into MUSIC-algorithms and analysis," Signal Process., Vol. 46, no. 1, pp. 84-105, Sep. 1995.
12. M. L. McCloud and L. L. Scharf, "A new subspace identification algorithm for high-resolution DOA estimation," IEEE Trans. Antennas Propag., Vol. 50, no. 10, pp. 1382-1390, Oct. 2002.
13. 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.
14. 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, no. 1, pp. 457-463, Jan. 1993.
15. B. D. Rao and K. V. S. Hari, "Performance analysis of root-music," IEEE Trans. Signal Process., Vol. 37, no. 12, pp. 1939-1949, Dec. 1989.
16. R. O. Schmidt, "A signal subspace approach to multiple emitter location and spectral estimation," Ph.D. dissertation, Stanford Univ., Stanford, CA, 1981.
17. A. A. Shah and D. W. Tufts, "Determination of the dimension of a signal subspace from short data records," IEEE Trans. Signal Process., vol. 42, no. 9, pp. 2531-2535, Sep. 1994.
18. P. Stoica and R. L. Moses, Spectral Analysis of Signals. Englewood Cliffs, NJ: Prentice-Hall, 2005.
19. P. Stoica and A. Nehorai, "Performance comparison of subspace rotation and MUSIC methods for direction estimation," IEEE Trans. Signal Process., Vol. 39, no. 2, pp. 446-453, Feb. 1991.
20. P. Stoica and A. Nehorai, "Comparative performance study of element-space and beamspace MUSIC estimators," Circuits, Syst. Signal Process., vol. 10, no. 3, pp. 285-292, 1991.
21. P. Stoica and A. Nehorai, "MUSIC, maximum likelihood, and Cramer-Rao bound," IEEE Trans. Signal Process., vol. 37, no. 5, pp. 720-741, May 1989.
22. P. Stoica, Y. Selen, N. Sandgren, and S. Van Huffel, "Using prior knowledge in SVD-based parameter estimation for magnetic resonance spectroscopy - the ATP example," IEEE Trans. Biomed. Eng., Vol. 51, no. 9, pp. 1568-1578, Sep. 2004.
23. D. Tbubert and L. Kopp, "Measurement accuracy and resolving power of high resolution passive methods," Proc. EURASIP, vol. 86, pp 1037-1040, 1986.
24. P. Vandaele and M. Moonen, "Two deterministic blind channel estimation algorithms based on oblique projections," Signal Process., vol. 80 no. 3, pp. 481-495, Mar. 2000.
25. A.-J. Van Der Veen, E. F. Deprettere, and A. L. Swindlehurst, "Sub-space-based signal analysis using singular value decomposition," Proc. IEEE, vol. 81, no. 9, pp. 1277-1308, Sep. 1993.
26. M. Viberg and B. Ottersten, "Sensor array processing based on subspace fitting," IEEE Trans. Signal Process., vol. 39, no. 5, pp 1110-1121, May 1991.
27. P. Wirawan, K. Abed-Meraim, H. Maitre, and P. Duhamel, "Blind multichannel image restoration using oblique projections," in Proc. IEEE Sens. Array Multichannel Process. (SAM2002), 2002, pp. 125-129.
28. X. Yu and L. Tong, "Joint channel and symbol estimation by oblique projections," IEEE Trans. Signal Process., vol. 49, no. 12, pp 3074-3083, Dec. 2001.