Bayesian filtering with random finite set observations

IEEE Transactions on Signal Processing

Volumn 56, Issue 4, 2008, Pages 1313-1326

  Vo, Ba Tuong ^a   Vo, Ba Ngu ^b   Cantoni, Antonio ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Bayesian filtering; CPHD filter; Gaussian sum filter; Kalman filter; Particle filter; PHD filter; Point processes; Random finite sets; Target tracking

Indexed keywords

BAYESIAN NETWORKS; KALMAN FILTERS; LINEARIZATION; PROBABILITY DENSITY FUNCTION; SET THEORY; TARGET TRACKING;

BAYESIAN FILTERING; CARDINALIZED PROBABILITY HYPOTHESIS DENSITY FILTER; GAUSSIAN SUM FILTER; PARTICLE FILTER; RANDOM FINITE SETS;

SIGNAL FILTERING AND PREDICTION;

EID: 41849146784     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.908968     Document Type: Article

References (35)

1. D. Reid, "An algorithm for tracking multiple targets," IEEE Trans. Autom. Control, vol. AC-24, no. 6, pp. 843-854, Dec. 1979.
2. S. Blackman, Multiple Target Tracking With Radar Applications. Norwood, MA: Artech House, 1986.
3. Y. Bar-Shalom and T. E. Fortmann, Tracking and Data Association. San Diego, CA: Academic, 1988.
4. D. Salmond, "Mixture reduction algorithms for target tracking in clutter," in Proc. SPIE Signal and Data Processing of Small Targets 1990, vol. 1305, pp. 434-445.
5. D. Musicki, R. Evans, and S. Stankovic, "Integrated probabilistic data association," IEEE Trans. Autom. Control, vol. AC-39, no. 6, pp. 1237-1241, Jun. 1994.
6. S. Mori, C. Y. Chong, E. Tse, and R. Wishner, "Tracking and classifying multiple targets without a priori identification," IEEE Trans. Autom. Control, vol. AC-31, no. 5, pp. 401-409, May 1986.
7. R. Washburn, "A random point process approach to multi-object tracking," in Proc. American Control Conf., 1987, vol. 3, pp. 1846-1852.
8. N. Portenko, H. Salehi, and A. Skorokhod, "On optimal filtering of multitarget systems based on point process," Rand. Oper. Stoch. Eq. vol. 5, no. 1, pp. 1-34, 1997.
9. I. Goodman, R. Mahler, and H. Nguyen, Mathematics of Data Fusion. Norwell, MA: Kluwer Academic, 1997.
10. B.-N. Vo, S. Singh, and A. Doucet, "Sequential Monte Carlo methods for multi-target filtering with random finite sets," IEEE Trans. Aerosp. Electron. Syst., vol. 41, no. 4, pp. 1224-1245, Oct. 2005.
11. R. Mahler, Statistical Multisource-Multitarget Information Fusion. Norwood, MA: Artech House, 2007.
12. R. Mahler, "Multi-target Bayes filtering via first-order multi-target moments," IEEE Trans. Aerosp. Electron. Syst., vol. 39, no. 4, pp. 1152-1178, Oct. 2003.
13. B.-N. Vo and W.-K. Ma, "The Gaussian mixture probability hypothesis density filter," IEEE Trans. Signal Process., vol. 54, no. 11, pp. 4091-4104, Nov. 2006.
14. R. Mahler, "PHD filters of higher order in target number," IEEE Trans. Aerosp. Electron. Syst., vol. 43, no. 3, pp. 1523-1543, Oct. 2007.
15. B.-T. Vo, B.-N. Vo, and A. Cantom, "Analytic implementations of the cardinalized probability hypothesis density filter," IEEE Trans. Signal Process., vol. 55, no. 7, pp. 3553-3567, Jul. 2007.
16. S. Challa, B.-N. Vo, and X. Wang, "Bayesian approaches to track existence - IPDA and random sets," presented at the 5th Int. Conf. Information Fusion, Annapolis, MD, May 2002.
17. B.-T. Vo, B.-N. Vo, and A. Cantoni, "A Bayesian approach to target tracking with finite-set-valued observations," presented at the 22nd Int. Symp. Intelligent Control, Singapore, Oct. 2007.
18. B. Ristic, S. Arulampalam, and N. Gordon, Beyond the Kalman Filter: Particle Filters for Tracking Applications. Norwood, MA: Artec House, 2004.
19. A. Doucet, N. de Freitas, and N. Gordon, Sequential Monte Carlo Methods in Practice. New York: Springer-Verlag, 2001.
20. D. Daley and D. Vere-Jones, An Introduction to the Theory of Point Processes. New York: Springer-Verlag, 1988.
21. D. Stoyan, D. Kendall, and J. Mecke, Stochastic Geometry and its Applications. New York: Wiley, 1995.
22. J. Moller and R. Waagepetersen, Statistical Inference and Simulation for Spatial Point Processes. London, U.K.: Chapman & Hall/CRC, 2004.
23. M. N. vanLieshout, Markov Point Processes and Their Applications. London, U.K.: Imperial College Press, 2000.
24. M. Ulmke, O. Erdinc, and P. Willett, "Gaussian mixture cardinalized PHD filter for ground moving target tracking," presented at the 10th Int. Conf. Information Fusion, Quebec, Canada, Jul. 2007.
25. S. Arulampalam, S. Maskell, N. J. Gordon, and T. Clapp, "A tutorial on particle filters for on-line non-linear/non-Gaussian Bayesian tracking," IEEE Trans. Signal Process., vol. 50, no. 2, pp. 174-188, Feb. 2002.
26. D. Crisan and A. Doucet, "A survey of convergence results on particle filtering methods for practitioners," IEEE Trans. Signal Process. vol. 50, no. 3, pp. 736-746, Mar. 2002.
27. P. D. Moral, Feynman-Kac Formulae: Genealogical and Interacting Particle Systems with Applications. New York: Springer-Verlag, 2004.
28. R. Gilks and C. Berzuini, "Following a moving target: Monte Carlo inference for dynamic Bayesian models," J. Roy. Stat. Soc., vol. 63, no. 1, pp. 127-146, 2001.
29. X.-R. Li and V. Jilkov, "Survey of maneuvering target tracking," IEEE Trans. Aerosp. Electron. Syst., vol. 39, no. 4, pp. 1333-1364, 2003.
30. H. W. Sorenson and D. L. Alspach, "Recursive Bayesian estimation using Gaussian sums," Automatica, vol. 7, pp. 465-479, 1971.
31. K. Murphy and S. Russell, "Rao-Blackwellised particle filtering for dynamic Bayesian networks," in Sequential Monte Carlo Methods in Practice, A. Doucet, N. Freitas, and N. Gordon, Eds. New York: Springer-Verlag, 2001, pp. 499-515.
32. A. H. Jazwinski, Stochastic Processes and Filtering Theory. New York: Academic, 1970.
33. B. D. Anderson and J. B. Moore, Optimal Filtering. Englewood Cliffs, NJ: Prentice-Hall, 1979.
34. S. J. Julier and J. K. Uhlmann, "Unscented filtering and nonlinear estimation," Proc. IEEE, vol. 92, no. 3, pp. 401-422, 2004.
35. Y. C. Ho and R. C. K. Lee, "A Bayesian approach to problems in stochastic estimation and control," IEEE Trans. Autom. Control, vol. AC-9, no. 4, pp. 333-339, Oct. 1964.