Bayesian beamforming for DOA uncertainty: Theory and implementation

IEEE Transactions on Signal Processing

Volumn 54, Issue 11, 2006, Pages 4435-4445

  Lam, Chunwei J ^a   Singer, Andrew C ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Adaptive beamforming; Bayesian model; Direction of arrival (DOA) uncertainty; Minimum mean square error (MMSE) estimation

Indexed keywords

COMPUTER SIMULATION; FAST FOURIER TRANSFORMS; MATHEMATICAL MODELS; PARALLEL PROCESSING SYSTEMS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SIGNAL TO NOISE RATIO; UNCERTAIN SYSTEMS;

ADAPTIVE NARROWBAND BEAMFORMING; BAYESIAN MODEL; DIRECTION-OF-ARRIVAL (DOA); GAUSSIAN DISTRIBUTION; MINIMUM MEAN-SQUARE ERROR (MMSE) ESTIMATION; UNIFORM LINEAR ARRAY;

COMMUNICATION CHANNELS (INFORMATION THEORY);

EID: 33750402826     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.880257     Document Type: Article

References (37)

1. H. L. Van Trees, Optimum Array Processing. New York, NY: Wiley Interscience, 2002.
2. B. D. Van Veen and K. M. Buckley, "Beamforming: A versatile approach to spatial filtering," IEEE Acoust., Speech, Signal Process. Mag., vol. 5, no. 2, pp. 4-24, Apr. 1988.
3. J. E. Hudson, Adaptive Array Principles. London, U.K.: Peregrinus, 1981.
4. L. E. Brennan, J. D. Mallet, and I. S. Reed, "Adaptive arrays in airborne MTI radar," IEEE Trans. Antennas Propag., vol. 24, pp. 607-615, Sep. 1976.
5. A. B. Gershman, E. Neheth, and J. F. Böhme, "Experimental performance of adaptive beamforming in a sonar environment with a towed array and moving interfering sources," IEEE Trans. Signal Process., vol. 48, no. 1, pp. 246-250, Jan. 2000.
6. J. Capon, R. J. Greenfield, and R. J. Kolker, "Multidimensional maximum-likelihood processing for a large aperture seismic array," Proc. IEEE, vol. 55, pp. 192-211, Feb. 1967.
7. S. Gannot, D. Burshtein, and E. Weinstein, "Signal enhancement using beamforming and nonstationarity with applications to speech," IEEE Trans. Signal Process., vol. 49, no. 8, pp. 1614-1626, Aug. 2001.
8. B. D. Steinberg, "Digital beamforming in ultrasound," IEEE Trans. Ultrason., Ferroelectr., Freq. Control, vol. 39, pp. 716-721, Nov. 1992.
9. L. C. Godara, "Application of antenna arrays to mobile communications. II. Beam-forming and direction-of-arrival considerations," Proc. IEEE, vol. 85, pp. 1195-1245, Aug. 1997.
10. C. L. Zahm, "Effects of errors in the direction of incidence on the performance of an adaptive array," Proc. IEEE, vol. 60, pp. 1068-1069, Aug. 1972.
11. L. C. Godara, "Error analysis of the optimal antenna array processors," IEEE Trans. Aerosp. Electron. Syst., vol. 22, pp. 395-409, Jul. 1986.
12. H. Cox, R. M. Zeskind, and M. H. Own, "Effects of amplitude and phase errors on linear predictive array processors," IEEE Trans. Acoust., Speech, Signal Process., vol. 36, pp. 10-19, Jan. 1988.
13. M. Viberg and A. Swindlehurst, "Analysis of the combined effects of finite samples and model errors on array processing performance," IEEE Trans. Signal Process., vol. 42, no. 11, pp. 3073-3083, Nov. 1994.
14. M. Wax and Y. Anu, "Performance analysis of the minimum variance beamformer," IEEE Trans. Signal Process., vol. 44, no. 4, pp. 928-937, Apr. 1996.
15. M. Wax and Y. Anu, "Performance analysis of the minimum variance beamformer in the presence of steering vector errors," IEEE Trans. Signal Process., vol. 44, no. 4, pp. 938-947, Apr. 1996.
16. R. O. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag., vol. 34, pp. 276-280, Mar. 1986.
17. R. Roy and T. Kailath, "ESPRIT: Estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, pp. 984-995, Jul. 1989.
18. B. D. Rao and K. V. S. Hari, "Performance analysis of Root-MUSIC," IEEE Trans. Acoustics, Speech, Signal Process., vol. 43, pp. 1939-1949, Dec. 1989.
19. B. D. Rao and K. V. S. Hari, "Performance analysis of ESPRIT and TAM in determining the direction of arrival of plane waves in noise," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, pp. 1990-1994, Dec. 1989.
20. B. Carlson, "Covariance matrix estimation errors and diagonal loading in adaptive arrays," IEEE Trans. Aerosp. Electron. Syst., vol. 24, pp. 397-401, Jul. 1988.
21. I. O. L. Frost, "An algorithm for linearly constrained adaptive processing," Proc. IEEE, vol. 60, pp. 926-935, Aug. 1972.
22. J. R. Guerci, "Theory and application of covariance matrix tapers for robust adaptive beamforming," IEEE Trans. Signal Process., vol. 47, no. 4, pp. 977-985, Apr. 1999.
23. M. H. Er and B. C. Ng, "A new approach to robust beamforming in the presence of steering vector errors," IEEE Trans. Signal Process., vol. 42, no. 7, pp. 1826-1829, Jul. 1994.
24. J. Riba, J. Goldberg, and G. Vazquez, "Robust beamforming for interference rejection in mobile communications," IEEE Trans. Signal Process., vol. 45, no. 1, pp. 271-275, Jan. 1997.
25. S. Shahbazpanahi, Z.-Q. L. A. B. Gershman, and K. M. Wong, "Robust adaptive beamforming for general-rank signal models," IEEE Trans. Signal Process., vol. 51, no. 9, pp. 2257-2269, Sep. 2003.
26. P. S. J. Li and Z. Wang, "Robust capon beamforming and diagonal loading," IEEE Trans. Signal Process., vol. 51, no. 7, pp. 172-1715, Jul. 2003.
27. S. Vorobyov, A. B. Gershman, and Z.-Q. Luo, "Robust adaptive beamforming using worst-case performance optimization: A solution to the signal mismatch problem," IEEE Trans. Signal Process., vol. 51, no. 2, pp. 313-324, Feb. 2003.
28. R. G. Lorenz and P. Boyd, "Robust minimum variance beamforming," IEEE Trans. Signal Process., vol. 53, no. 5, pp. 1684-1696, May 2005.
29. C. J. Lam and A. C. Singer, "Adaptive Bayesian beamforming for steering vector uncertainties under order recursive implementation," presented at the IEEE Conf. Acoustics, Speech, Signal Processing, Toulouse, France, May 2006.
30. K. L. Bell, Y. Ephraim, and H. L. Van Trees, "A Bayesian approach to robust adaptive beamforming," IEEE Trans. Signal Process., vol. 48, no. 2, pp. 386-398, Feb. 2000.
31. O. Besson, A. A. Monakov, and C. Chalus, "Signal waveform estimation in the presence of uncertainties about the steering vector," IEEE Trans. Signal Process., vol. 52, no. 9, pp. 2432-2440, Sep. 2004.
32. A. M. Walker, "On the asymptotic behaviour of posterior distributions," J. Roy. Stat. Soc., Ser. B, no. 3, pp. 80-88, May 1967.
33. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley Interscience, 2002.
34. L. Liporace, "Variance of Bayes estimates," IEEE Trans. Inf. Theory, vol. 17, pp. 665-669, Nov. 1971.
35. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1989.
36. D. P. Bertsekas, Nonlinear Programming. Belmont, MA: Athena Scientific, 1999.
37. W. Rudin, Principles of Mathematical Analysis. New York: McGraw-Hill, 1964.