Detection and Estimation in Sensor Arrays Using Weighted Subspace Fitting

IEEE Transactions on Signal Processing

Volumn 39, Issue 11, 1991, Pages 2436-2449

  Viberg, Mats ^a   Ottersten, Björn ^a   Kailath, Thomas ^b  

^a LINKÖPING UNIVERSITY   (Sweden)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - ESTIMATION; MATHEMATICAL TECHNIQUES - NUMERICAL METHODS; OPTIMIZATION; SIGNAL DETECTION;

ARRAY PROCESSING; GAUSS-NEWTON METHOD; PARAMETER ESTIMATION; SPECTRAL ESTIMATION; WEIGHTED SUBSPACE FITTING;

DIRECTION FINDING SYSTEMS;

EID: 0026254939     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.97999     Document Type: Article

References (45)

1. J. P. Burg, “Maximum entropy spectral analysis,” in Proc. 37th Annu. Int. SEG Meeting (Oklahoma City, OK), 1967.
2. 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, Sept. 1982.
3. R. O. Schmidt, “Multiple emitter location and signal parameter estimation,” in Proc. RADC Spectrum Estimation Workshop (Rome, NY), 1979, pp. 243-258.
4. G. Bienvenu and L. Kopp, “Principle de la goniometrie passive adaptive,” in Proc. 7'eme Colloque GRESIT (Nice, France), 1979, pp. 106/1-106/10.
5. W. J. Bangs, “Array processing with generalized beamformers,” Ph.D. dissertation, Yale Univ., New Haven, CT, 1971.
6. R. O. Schmidt, “A signal subspace approach to multiple emitter location and spectral estimation,” Ph.D. dissertation, Stanford Univ., Stanford, CA, Nov. 1981.
7. J. F. Bohme, “Estimation of source parameters by maximum likelihood and nonlinear regression,” in Proc. ICASSP 84, 1984, pp. 7.3.1-7.3.4.
8. J. F. Bohme, “Estimation of spectral parameters of correlated signals in wavefields,” Signal Processing, vol. 10, pp. 329-337, 1986.
9. M. Feder and E. Weinstein, “Parameter estimation of superimposed signals using the EM algorithm,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-36, pp. 477-489, Apr. 1988.
10. F. C. Schweppe, “Sensor array data processing for multiple signal sources,” IEEE Trans. Inform. Theory, vol. IT-14, pp. 294-305, 1968.
11. M. Wax, “Detection and estimation of superimposed signals,” Ph.D. dissertation, Stanford Univ., Stanford, CA, Mar. 1985.
12. 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.
13. 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, Oct. 1988.
14. K. Sharman, “Maximum likelihood estimation by simulated annealing,” in Proc. ICASSP 88 Conf. (New York), Apr. 1988, pp. 2741-2744.
15. K. Sharman and G. D. McClurkin, “Genetic algorithms for maximum likelihood parameter estimation,” in Proc. ICASSP 89 Conf. (Glasgow, Scotland), May 1989, pp. 2716-2719.
16. B. Ottersten and M. Viberg, “Asymptotic results for multidimensional sensor array processing,” in Proc. 22nd Asilomar Conf. Signals, Syst., Comput. (Monterey, CA), Nov. 1988, pp. 833-837.
17. B. Ottersten and M. Viberg, “Analysis of subspace fitting based methods for sensor array processing,” in Proc. ICASSP 89 (Glasgow, Scotland), May 1989, pp. 2807-2810.
18. M. Viberg and B. Ottersten, “Sensor array processing based on subspace fitting,” IEEE Trans. Signal Processing, vol. 39, no. 5, pp. 1110-1121, May 1991.
19. 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.
20. B. Ottersten, B. Wahlberg, M. Viberg, and T. Kailath, “Stochastic maximum likelihood estimation in sensor arrays by weighted subspace fitting,” in Proc. 23rd Asilomar Conf. Signals, Syst., Comput., (Monterey, CA), Nov. 1989, pp. 599-603.
21. Y. Bresler and A. Macovski, “On the number of signals resolvable by a uniform linear array,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, pp. 1361-1375, Oct. 1986.
22. M. Wax and I. Ziskind, “On unique localization of multiple sources by passive sensor arrays,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 7, pp. 996-1000, July 1989.
23. J. A. Cadzow, “A high resolution direction-of-arrival algorithm for narrow-band coherent and incoherent sources,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-36, pp. 965-979, July 1988.
24. T. W. Anderson, “Asymptotic theory for principal component analysis,” Ann. Math. Statist., vol. 34, pp. 122-148, 1963.
25. D. J. Jeffries and D. R. Farrier, “Asymptotic results for eigenvector methods,” Proc. Inst. Elec. Eng. F, vol. 132, no. 7, pp. 589-594, June 1985.
26. 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 Processing, vol. ASSP-34, pp. 331-341, Apr. 1986.
27. L. Kaufman, “A variable projection method for solving separable nonlinear least squares problems,” BIT, vol. 15, pp. 49-57, 1975.
28. A. Ruhe and P. A. Wedin, “Algorithms for separable nonlinear least squares problems,” SIAM Rev., vol. 22, pp. 318-327, July 1980.
29. G. Golub and V. Pereyra, “The differentiation of pseudoinverses and nonlinear least squares problems whose variables separate,” SIAM J. Numer. Anal., vol. 10, pp. 413-432, 1973.
30. P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization. London: Academic, 1981.
31. J. E. Dennis and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Englewood Cliffs, NJ: Prentice-Hall. 1983.
32. R. H. Roy, “ESPRIT, estimation of signal parameters via rotational invariance techniques,” Ph.D. dissertation, Stanford Univ., Stanford, CA, Aug. 1987.
33. R. Roy and T. Kailath, “ESPRIT—-estimation of signal parameters via rotational invariance techniques,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 7, pp. 984-995, July 1989.
34. 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.
35. 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.
36. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore, MD: Johns Hopkins University Press, 1983.
37. M. Wax and T. Kailath, “Detection of signals by information theoretic criteria,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, no. 2, pp. 387-392, Apr. 1985.
38. J. Rissanen, “Modeling by shortest data description,” Automatica, vol. 14, pp. 465-471, 1978.
39. L. C. Zhao, P. R. Krishnaiah, and Z. D. Bai, “On detection of the number of signals in the presence of white noise,” J. Multivariate Anal., vol. 20, no. 1, pp. 1-25, 1986.
40. M. Wax and I. Ziskind, “Detection of the number of coherent signals by the MDL principle,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 8, pp. 1190-1196, Aug. 1989.
41. P. Stoica, R. L. Moses, B. Friedlander, and T. Söderström, “Maximum likelihood estimation of the parameters of multiple sinusoids from noisy measurements,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 378-392, Mar. 1989.
42. K. V. Mardia, J. T. Kent, and J. M. Bibby, Multivariate Analysis. London: Academic, 1979.
43. W. F. Stout, Almost Sure Convergence. New York: Academic, 1974.
44. J. H. Wilkinson, The Algebraic Eigenvalue Problem. Oxford, U.K.: Clarendon, 1965.
45. G. W. Stewart, “Error and perturbation bounds for subspaces associated with certain eigenvalue problems,” SIAM Rev., vol. 15, pp. 727-764, 1973.