Pseudo-randomly generated estimator banks: A new tool for improving the threshold performance of direction finding

IEEE Transactions on Signal Processing

Volumn 46, Issue 5, 1998, Pages 1351-1364

  Gershman, Alex B ^a,b  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

Author keywords

Direction finding; Eigenstructure methods; Estimator bank

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; RANDOM PROCESSES; SENSORS; STATISTICAL METHODS;

JOINT ESTIMATION STRATEGY (JES); PSEUDO RANDOMLY GENERATED ESTIMATOR BANKS; SIGNAL DIRECTION FINDING;

SIGNAL DETECTION;

EID: 0032070065     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.668797     Document Type: Article

References (44)

1. R. O. Schmidt, "Multiple emitter location and signal parameter estimation," in Proc. RADC Spectral Estimation Workshop, Rome, NY, 1979, pp. 234-258.
2. S. S. Reddi, "Multiple source location-A digital approach," IEEE Trans. Aerosp. Electron. Syst., vol. AES-15, pp. 95-105, Jan. 1979.
3. D. H. Johnson and S. R. DeGraaf, "Improving the resolution of bearing in passive sensor arrays by eigenvalue analysis," IEEE Trans. Acoust., Speech, Signal Processing, vol. 30, pp. 638-647, Aug. 1982.
4. J. F. Böhme, "Estimation of spectral parameters of correlated signals in wavefields," Signal Process., vol. 10, pp. 329-337, 1986.
5. "Source parameter estimation by approximate maximum likelihood and nonlinear regression," IEEE J. Oceanic Eng., vol. 10, pp. 206-212, 1985.
6. M. Wax, "Detection and estimation of superimposed signals," Ph.D. dissertation, Stanford Univ., Stanford, CA, Mar. 1985.
7. P. Stoica and A. Nehorai, "MUSIC, maximum likelihood and Cramer-Rao bound," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 720-741, May 1989.
8. M. Viberg and B. Ottersten, "Sensor array processing based on subspace fitting," IEEE Trans. Signal Processing, vol. 39, pp. 1110-1121, May 1991.
9. B. Ottersten, M. Viberg, and T. Kailath, "Analysis of subspace fitting and ML techniques for parameter estimation from sensor array data," IEEE Trans. Signal Processing, vol. 40, pp. 590-600, Mar. 1992.
10. B. D. Rao, "Lowering the threshold SNR of singular value decomposition based methods," in P roc. ICASSP, New York, Apr. 1988, pp. 2472-2475.
11. M. Kaveh and A. J. Barabell, "The statistical performance of the MUSIC and minimum-norm algorithms in resolving plane waves in noise," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, pp. 331-341, Feb. 1986.
12. M. Feder and E. Weinstein, "Parameter estimation of superimposed signals using the EM algorithm," IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 47789, Apr. 1988.
13. Y. Bresler and A. Macovski, "Exact maximum likelihood parameter estimation of superimposed exponential signals in noise," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, pp. 1081-1089, Oct. 1986.
14. I. Ziskind and M. Wax, "Maximum likelihood localization of multiple sources by alternating projection," IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 1553-1560, Oct. 1988.
15. K. C. Sharman, "Maximum likelihood estimation by simulated annealing," in Proc. ICASSP, New York, Apr. 1988, pp. 2741-2744.
16. K. C. Sharman and G. D. McClurkin, "Genetic algorithms for maximum likelihood parameter estimation," in Proc. ICASSP'89, Glasgow, U.K., May 1989, pp. 2716-2719.
17. A. B. Gershman, C. F. Mecklenbräuker, and J. F. Böhme, "Matrix fitting approach to direction of arrival estimation with imperfect spatial coherence of wavefronts," IEEE Trans. Signal Processing, vol. 45, pp. 1894-1899, July 1997.
18. C. F. Mecklenbräuker, A. B. Gershman, and J. F. Böhme, "MLestimation of environmental parameters in shallow ocean using unknown broadband sources," Proc. ICNNSP, Nanjing, China, Dec. 1995, pp. 1091-1094, invited paper.
19. P. Stoica and K. C. Sharman, "Novel eigenanalysis method for direction estimation," in Proc. Inst. Elec. Eng. F, pp. 19-26, Feb. 1990.
20. "Maximum likelihood methods for direction-of-arrival estimation," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1132-1143, July 1990.
21. R. Kumaresan and D. W. Tufts, "Estimating the angles of arrival of multiple plane waves," IEEE Trans. Aerosp. Electron. Syst., vol. AES-19, pp. 134-139, Jan. 1983.
22. R. Roy and T. Kailath, "ESPRIT-Estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 984-995, July 1989.
23. A. J. Barabell, "Improving the resolution performance of eigenstructurebased direction finding algorithms," in Proc. ICASSP, Boston, MA, 1983, pp. 336-339.
24. R. Pan and C. Nikias, "Harmonic decomposition in cumulant domains," in Proc. ICASSP, New York, Apr. 1988, pp. 2356-2359.
25. B. Porat and B. Friedlander, "Direction finding algorithms based on high-order statistics," IEEE Trans. Signal Processing, vol. 39, pp. 2016-2023, Sept. 1991.
26. J.-F. Cardoso and E. Moulines, "Asymptotic performance analysis of direction-finding algorithms based on fourth-order cumulants," IEEE Trans. Signal Processing, vol. 43, pp. 214-224, Jan. 1995.
27. K. M. Buckley and X.-L. Xu, "Spatial-spectrum estimation in a location sector," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1842-1852, Nov. 1990.
28. S. K. Oh and C. K. Un, "A sequential estimation approach for performance improvement of eigenstructure-based methods in array processing," IEEE Trans. Signal Processing, vol. 41, pp. 457163, Jan. 1993.
29. A. B. Gershman, "High-resolution direction finding using eigendecomposition-based estimators and joint estimation strategy," IEE Electron. Lett., vol. 27, no. 25, pp. 2308-2309, 1991.
30. A. B. Gershman and J. F. Böhme, "Joint estimation strategy with application to eigenstructure methods," in Proc. 8th IEEE Workshop Stat. Signal Array Process., Corfu, Greece, June 1996, pp. 530-533.
31. "Improved DOA estimation via pseudo-random resampling of spatial spectrum," IEEE Signal Processing Lett., vol. 4, pp. 54-57, Feb. 1997.
32. F. Li and R. J. Vaccaro, "Performance degradation of DOA estimators due to unknown noise fields," IEEE Trans. Signal Processing, vol. 40, pp. 686-689, Mar. 1992.
33. M. Wax and T. Kailath, "Detection of signals by information theoretic criteria," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, pp. 387-392, Apr. 1985.
34. Y. P. Yin and P. R. Krishnaiah, "On some nonparametric methods for detection of the number of signals," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, pp. 1533-1538, Nov. 1987.
35. P. Stoica and A. Nehorai, "MUSIC, maximum likelihood, and Cramer-Rao bound: Further results and comparisons,"IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 2140-2150, Dec. 1990.
36. Y. I. Abramovich, D. A. Gray, A. Y. Gorokhov, and N. K. Spenser, "Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays-Part I: Fully augmentable arrays," submitted for publication.
37. V. T. Ermolaev and A. B. Gershman, "Fast algorithm for minimum-norm direction of arrival estimation," IEEE Trans. Signal Processing, vol. 42, pp. 2389-2394, Sept. 1994.
38. S. Anderson, "On optimal dimension reduction for sensor array signal processing," Signal Process., vol. 30, pp. 245-256, Jan. 1993.
39. H. Wang and M. Kaveh, "Coherent signal-subspace processing for the detection and estimation of angles of arrival of multiple wide-band sources," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, pp. 823-831, Aug. 1985.
40. B. Friedlander, "The root-MUSIC algorithm for direction finding with interpolated arrays," Signal Process., vol. 30, pp. 15-25, 1993.
41. A. Paulraj, V. U. Reddy, and T. Kailath, "Analysis of signal cancellation due to multipath in optimum beamformers for moving arrays," IEEE J. Oceanic Eng., vol. OE-12, pp. 163-172, Jan. 1987.
42. R. J. Kozick and S. A. Kassam, "A unified approach to coherent source decorrelation by autocorrelation matrix smoothing," Signal Process., vol. 45, pp. 115-130, July 1995.
43. T. J. Shan, M. Wax, and T. Kailath, "On spatial smoothing for direction-of-arrival estimation of coherent signals," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, pp. 806-811, Aug. 1985.
44. H. Lee and F. Li, "Quantification of the difference between detection and resolution thresholds for multiple closely spaced emitters," IEEE Trans. Signal Processing, vol. 41, pp. 2274-2277, June 1993.