Conditional-Mean Estimation Via Jump-Diffusion Processes in Multiple Target Tracking/Recognition

IEEE Transactions on Signal Processing

Volumn 43, Issue 11, 1995, Pages 2678-2690

  Miller, M I ^a   Srivastava, A ^a   Grenander, U ^b  

^a WASHINGTON UNIVERSITY   (United States)

^b BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ARRAYS; COMPUTER GRAPHICS; COMPUTER SIMULATION; COMPUTER WORKSTATIONS; DIFFERENTIAL EQUATIONS; ESTIMATION; IMAGING TECHNIQUES; MARKOV PROCESSES; MATHEMATICAL MODELS; PARALLEL PROCESSING SYSTEMS; THREE DIMENSIONAL;

CONDITIONAL MEAN ESTIMATION; JUMP DIFFUSION PROCESSES; MULTIPLE TARGET TRACKING/RECOGNITION; NETWORKED SILICON GRAPHICS WORKSTATION; NEWTONIAN FORCE EQUATIONS; RANDOM SAMPLING ALGORITHM;

OBJECT RECOGNITION;

EID: 0029405830     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.482117     Document Type: Article

References (31)

1. U. Grenander and M. I. Miller, “Representations of knowledge in complex systems,” J. Royal Statist. Soc. B, vol. 56, no. 3, pp. 549-603, 1994.
2. B. Gidas, “Metropolis type Monte-Carlo simulation algorithms and simulated annealing,” in Topics in Contemporary Probability and Its Applications, J. L. Snell, Ed. 1993.
3. J. Besag and P. J. Green, “Spatial statistics and Bayesian computation,” J. Royal Statist. Soc. B, vol. 55, pp. 25-38, 1993.
4. U. Grenander and M. I. Miller, “Jump-diffusion processes for abduction and recognition of biological shapes,” Monograph of the Electronic Signals and Systems Research Laboratory, 1991.
5. Y. Bar-Shalom and E. Tse, “Tracking in cluttered environment with probabilistic data association,” Automatica, vol. 11, pp. 451-460, 1975.
6. Y. Bar-Shalom and T. E. Fortmann. Tracking and Data Association. New York: Academic, 1988.
7. Y. Bar-Shalom, Ed., Multitarget-Multisensor Tracking. Norwood, MA: Artech House, 1990.
8. C. R. Rao, C. R. Sastry, and B. Zhou, “Tracking the direction of arrival of multiple moving targets,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 42, no. 5, May 1994.
9. C. R. Sastry, E. W. Kamen, and M. Simaan, “An efficient algorithm for tracking angles of arrival of moving targets,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 39, no. 1, pp. 242-246, 1991.
10. C. K. Sword, M. Simaan, and E. W. Kamen, “Multiple target angle tracking using using sensor array outputs,” IEEE Trans. Aerosp. Electron. Syst., vol. 26, no. 2, pp. 367-373, 1990.
11. W. Freiberger and U. Grenander, “Computer generated image algebras,” Int. Federation Inform. Processing, vol. 68, pp. 1397-1404, 1969.
12. U. Grenander, “Advances in pattern theory: The 1985 Rietz lecture,” Annals Statist., vol. 17, no. 1, pp. 1-30, 1989.
13. N. Cutaia and Joseph A. O. Sullivan, “Automatic target recognition algorithms using kinematic priors,” Electron. Signals Syst. Res. Lab. Monograph, 1994.
14. Bernard Friedland, Control System Design : An Introduction To State-Space Methods. New York: McGraw-Hill, 1986.
15. K.V. Mardia, Statistics of Directional Data. New York: Academic, 1972.
16. J. Rissanen, “A universal prior for integers and estimation by minimum description length,” Annals Statist., vol. 11, pp. 416-431, 1983.
17. J. Rissanen, “Stochastic complexity and modeling,” Annals Statist., vol. 14, no. 3, pp. 1080-1100, 1986.
18. M. I. Miller and D. R. Fuhrmann, “Maximum likelihood narrow-band direction finding and the EM algorithm,” IEEE Trans. Acoust, Speech, Signal Processing, vol. 38, no. 9, pp. 560-577, 1990.
19. A. Srivastava, M. I. Miller, and U. Grenander, “Jump-diffusion processes for object tracking and direction finding,” in Proc. 29th Annu. Allerton Conf. Commun., Contr. Computing, Univ. of Illinois, Urbana, Champaign, 1991, pp. 563-570.
20. A. Srivastava, N. Cutaia, M. I. Miller, J. A. O’Sullivan, and D. L. Snyder, “Multi-target narrowband direction finding and tracking based on motion dynamics,” in Proc. 30th Annu. Allerton Conf. Commun., Contr. Computing, Univ. of Illinois, Urbana, Champaign, 1992, pp. 563-570.
21. M. I. Miller, R. S. Teichman, A. Srivastava, J. A. O’Sullivan, and D. L. Snyder, “Jump-diffusion processes for automated tracking-target recognition,” in Proc. 27th Annu. Conf Inform. Sci. Syst., Johns Hopkins University, Baltimore, MD, Mar. 24-26, 1993, pp. 617-622.
22. R. Schmidt, “A signal subspace approach to multiple emitter location and spectral estimation,” Ph.D. dissertation, Stanford Univ., Palo Alto, CA., Nov. 1981.
23. D. L. Snyder, J. A. O’Sullivan,’ and M. I. Miller, “The use of maximum-likelihood estimation for forming images of diffuse radar-targets,” in Trans. SPIE Advanced Architectures Algorithms, San Diego, California, 1987.
24. D. L. Snyder, J. A. O’Sullivan,’ and M. I. Miller, “The use of maximum-likelihood estimation for forming images of diffuse radar-targets from delay-Doppler data,” IEEE Trans. Inform. Theory, vol. 35, no. 3, pp. 536-548, 1989.
25. J. A. O’Sullivan, P. Moulin, and D. L. Snyder, “Cramer-Rao bounds for constrained spectrum estimation with application to a problem in radar imaging,” in Proc. 26th Allerton Conf. Commun., Contr., Computing, Champagne, Urbana, Oct. 1988. Urbana, IL.
26. M. I. Miller, D. R. Fuhrmann, J. A. O’Sullivan, and D. L. Snyder, “Maximum-likelihood methods for Toeplitz covariance estimation and radar imaging,” in Advances in Spectrum Estimation, Simon Haykin, Ed. Englewood Cliffs, NJ: Prentice-Hall, 1990, pp. 145-172.
27. P. Moulin, J. A. O’Sullivan, and D. L. Snyder, “A method of sieves for muitiresolution spectrum estimation and radar imaging,” IEEE Trans. Inform. Theory, 1992.
28. J. A. O’Sullivan, K. C. Du, R. S. Teichman, M. I. Miller, D. L. Snyder, and V. C. Vannicola, “Radar target recognition using shape models,” in Proc. 30th Annu. Allerton Conf. on Commun., Contr., Computing, Univ. of Illinois, Urbana, IL, 1992, pp. 515-523.
29. I.I. Gihman and A. Y. Skorohod, Introduction to the Theory of Random Processes. Philadelphia, PA: Saunders, 1965.
30. Y. Amit and M. I. Miller, “Ergodic properties of jump-diffusion processes,” Monograph Electron. Signals Syst. Res. Laboratory, Jan. 1993.
31. A. Srivastava, M. I. Miller, and U. Grenander, “Multi-target direction of arrival tracking,” IEEE Trans. Signal Processing, vol. 43, no. 5, pp. 1282-1285, May 1995.