Maximum-Likelihood Narrow-Band Direction Finding and the EM Algorithm

IEEE Transactions on Acoustics, Speech, and Signal Processing

Volumn 38, Issue 9, 1990, Pages 1560-1577

  Miller, Michael I ^a   Fuhrmann, Daniel R ^a  

^a WASHINGTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANTENNAS--ARRAYS; SIGNAL FILTERING AND PREDICTION;

DIRECTION FINDING TECHNIQUES; EXPECTATION-MAXIMIZATION (EM) ALGORITHMS; STOCHASTIC SIGNAL MODELS;

SIGNAL PROCESSING;

EID: 0025488579     PISSN: 00963518     EISSN: None     Source Type: Journal    
DOI: 10.1109/29.60075     Document Type: Article

References (22)

1. A. Ksienski and R. McGhee, “A decision theoretic approach to the angular resolution and parameter estimation problem for multiple targets,” IEEE Trans. Aerosp. Electron. Syst., vol. AES-4, 1968.
2. R. Fisher, “On the mathematical foundations of theoretical statistics,” Phil. Trans. Roy. Soc., vol. 222, p. 309, 1922.
3. C. F. Gauss, Theoria Motus Corporation Coelestium. Hamburg: Perthes, 1809.
4. A. M. Legendre, Nouvetles Methodes pour la Determination des Orbites des Cometes. Paris, 1805.
5. J. Capon, “High-resolution frequency-wavenumber spectrum analysis,” Proc. IEEE, vol. 57, p. 1408, 1969.
6. N. Owsley, “Sonar array processing,” in Array Signal Processing, Simon Haykin, Ed. Englewood Clilfs, NJ: Prentice-Hall, 1985.
7. D. W. Tufts and R. Kumaresan, “Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihood,” Proc. IEEE, vol. 70, pp. 975–989, 1982.
8. M. Feder and E. Weinstein, “Parameter estimation of superimposed signals using the EM algorithm,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 1762–1765, 1988.
9. A. G. Jaffer, “Maximum likelihood angular resolution of multiple sources,” presented at the 19th Annu. Asilomar Conf., Pacific Grove, CA, 1985.
10. I. Ziskind and M. Wax, “Maximum likelihood localization of multiple sources by alternating projection,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-36, pp. 1553–1560, 1988.
11. A. D. Dempster, N. M. Laird, and D. B. Rubin, “Maximum likelihood from incomplete data via the EM algorithm,” J. Roy. Stat. Soc., vol. B-39, pp. 1–37, 1977.
12. R. Schmidt, “A signal subspace approach to multiple emitter location and spectral estimation,” Ph.D. dissertation, Stanford University, Palo Alto, CA, Nov. 1981.
13. A. Barabell, “Performance comparison of superresolution array processing algorithms,” M.I.T. Lincoln Lab., Project Rep., vol. TST-72, 1984.
14. P. Stoica and A. Nehorai, “MUSIC, maximum likelihood, and the Cramer-Rao bound,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 720–741, 1989.
15. M. Wax and T. Kailath, “Detection of signals by information theoretic criteria,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, pp. 387–392, 1985.
16. J. Rissanen, “Modeling by shortest data description,” Automatica, vol. 14, pp. 465–471, 1978.
17. Q. Wu and D. Fuhrmann, “A parametric model for determining the number of signals,” in Proc. 26th Allerton Conf. Commun., Contr., Computing (University of Illinois), Sept. 1988.
18. N. Goodman, “Statistical analysis based on a certain multivariate complex Gaussian distribution,” Ann. Math. Stat., vol. 34, pp. 152–177, 1963.
19. I. B. Rhodes, “A tutorial introduction to estimation and filtering,” IEEE Trans. Automat. Contr., vol. AC-16, no. 6, pp. 688–706, 1971.
20. C. Helstrom, Probability and Stochastic Processes for Engineers. New York: Macmillan, 1984.
21. J. P. Burg, D. Luenberger, and D. L. Wenger, “Estimation of structured covariance matrices,” Proc. IEEE, vol. 70, no. 9, pp. 963–974, Sept. 1982.
22. T. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice-Hall, 1980.