An extended target CPHD filter and a gamma gaussian inverse wishart implementation

IEEE Journal on Selected Topics in Signal Processing

Volumn 7, Issue 3, 2013, Pages 472-483

  Lundquist, Christian ^a   Granstrom, Karl ^a   Orguner, Umut ^b  

^a LINKÖPING UNIVERSITY   (Sweden)

^b MIDDLE EAST TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Cardinalized; CPHD; extended targets; inverse Wishart; multiple target tracking; PHD; probability hypothesis density; random matrices; random sets

Indexed keywords

CARDINALIZED; CPHD; EXTENDED TARGETS; MULTIPLE TARGET TRACKING; PHD; PROBABILITY HYPOTHESIS DENSITY; RANDOM MATRICES; RANDOM SET; WISHART;

PROBABILITY;

ESTIMATION;

EID: 84877887986     PISSN: 19324553     EISSN: None     Source Type: Journal    
DOI: 10.1109/JSTSP.2013.2245632     Document Type: Article

References (42)

1. Y. Bar-Shalom and T. E. Fortmann, Tracking and Data Association, ser. Mathematics in Science and Engineering. San Diego, CA, USA: Academic, 1987, vol. 179.
2. K. Gilholm and D. Salmond, "Spatial distribution model for tracking extended objects," IEE Proc. Radar, Sonar, Nav., vol. 152, no. 5, pp. 364-371, Oct. 2005. (Pubitemid 41497511)
3. K. Gilholm, S. Godsill, S. Maskell, and D. Salmond, "Poisson models for extended target and group tracking," in Proc. Signal and Data Process. of Small Targets, San Diego, CA, USA, Aug. 2005, vol. 5913, pp. 230-241, SPIE.
4. J.W. Koch, "Bayesian approach to extended object and cluster tracking using random matrices," IEEE Trans. Aerosp. Electron. Syst., vol. 44, no. 3, pp. 1042-1059, Jul. 2008.
5. J.W. Koch andM. Feldmann, "Cluster tracking under kinematical constraints using random matrices," Robot. Autonom. Syst., vol. 57, no. 3, pp. 296-309, Mar. 2009.
6. M. Feldmann, D. Fränken, and J. W. Koch, "Tracking of extended objects and group targets using random matrices," IEEE Trans. Signal Process., vol. 59, no. 4, pp. 1409-1420, Apr. 2011.
7. W. Wieneke and J. W. Koch, "Probabilistic tracking of multiple extended targets using random matrices," in Proc. SPIE Signal and Data Process. of Small Targets, Orlando, FL, USA, Apr. 2010.
8. M. Baum and U. D. Hanebeck, "Random hypersurface models for extended object tracking," in Proc. IEEE Int. Symp. Signal Process. Inf. Technol. (ISSPIT), Ajman, United Arab Emirates, Dec. 2009, pp. 178-183.
9. M. Baum, B. Noack, and U. D. Hanebeck, "Extended object and group tracking with elliptic random hypersurface models," in Proc. Int. Conf. Inf. Fusion, Edinburgh, U.K., Jul. 2010.
10. K. Granström, C. Lundquist, and U. Orguner, "Tracking rectangular and elliptical extended targets using laser measurements," in Proc. Int. Conf. Inf. Fusion, Chicago, IL, USA, Jul. 2011, pp. 592-599.
11. C. Lundquist, K. Granström, and U. Orguner, "Estimating the shape of targets with a PHD filter," in Proc. Int. Conf. Inf. Fusion, Chicago, IL, USA, Jul. 2011, pp. 49-56.
12. M. Baum and U.D.Hanebeck, "Shape tracking of extended objects and group targets with star-convex RHMs," in Proc. Int. Conf. Inf. Fusion, Chicago, IL, USA, Jul. 2011, pp. 338-345.
13. H. Zhu, C. Han, and C. Li, "An extended target tracking method with random finite set observations," in Proc. Int. Conf. Inf. Fusion, Chicago, IL, USA, Jul. 2011, pp. 73-78.
14. R. Mahler, Statist. Multisource-Multitarget Inf. Fusion. Norwood, MA, USA: Artech House, 2007.
15. R. Mahler, "Multitarget Bayes filtering via first-order multi target moments," IEEE Trans. Aerosp. Electron. Syst., vol. 39, no. 4, pp. 1152-1178, Oct. 2003.
16. 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. (Pubitemid 44637744)
17. D. E. Clark and B.-N. Vo, "Convergence analysis of the Gaussian mixture PHD filter," IEEE Trans. Signal Process., vol. 55, no. 4, pp. 1204-1212, Apr. 2007. (Pubitemid 46563148)
18. B.-N. Vo, S. Singh, and A. Doucet, "Sequential Monte Carlo methods for multitarget filtering with random finite sets," IEEE Trans. Aerosp. Electron. Syst., vol. 41, no. 4, pp. 1224-1245, Oct. 2005. (Pubitemid 43033914)
19. D. E. Clark and J. Bell, "Convergence results for the particle PHD filter," IEEE Trans. Signal Process., vol. 54, no. 7, pp. 2652-2661, Jul. 2006.
20. A. Johansen, S. Singh, A. Doucet, and B.-N. Vo, "Convergence of the SMC implementation of the PHD filter," Methodol. Comput. Appl. Probab., vol. 8, no. 2, pp. 265-291, 2006. (Pubitemid 44210234)
21. R. Mahler, "PHD filters for nonstandard targets, I: Extended targets," in Proc. Int. Conf. Inf. Fusion, Seattle,WA, USA, Jul. 2009, pp. 915-921.
22. K. Granström, C. Lundquist, andU.Orguner, "Extended target tracking using a Gaussian mixture PHD filter," IEEE Trans. Aerosp. Electron. Syst., vol. 48, no. 4, pp. 3268-3286, Oct. 2012.
23. K. Granström, C. Lundquist, and U. Orguner, "A Gaussian mixture PHD filter for extended target tracking," in Proc. Int. Conf. Inf. Fusion, Edinburgh, U.K., May 2010.
24. K. Granström and U. Orguner, "A PHD filter for tracking multiple extended targets using random matrices," IEEE Trans. Signal Process., vol. 60, no. 11, pp. 5657-5671, Nov. 2012.
25. A. Swain and D. Clark, "The PHD filter for extended target tracking with estimable shape parameters of varying size," in Proc. Int. Conf. Inf. Fusion, Singapore, Jul. 2012.
26. A. Carmi, F. Septier, and S. J. Godsill, "The Gaussian mixtureMCMC particle algorithm for dynamic cluster tracking," Automatica, vol. 48, no. 10, pp. 2454-2467, Oct. 2012.
27. D. E. Clark and S. J. Godsill, "Group target tracking with the Gaussian mixture probability hypothesis density filter," in Proc. Int. Conf. Intell. Sens., Sens. Netw., Inf. (ISSNIP), Melbourne, Australia, Dec. 2007, pp. 149-154.
28. B.-T. Vo, B.-N. Vo, and A. Cantoni, "Bayesian filtering with random finite set observations," IEEE Trans. Signal Process., vol. 56, no. 4, pp. 1313-1326, Apr. 2008. (Pubitemid 351493829)
29. O. Erdinc, P.Willett, and Y. Bar-Shalom, "Probability hypothesis density filter for multitarget multisensor tracking," in Proc. Int. Conf. Inf. Fusion, Philadelphia, CA, USA, Jul. 2005, pp. 146-153. (Pubitemid 46276202)
30. R. Mahler, "PHD filters of higher order in target number," IEEE Trans. Aerosp. Electron. Syst., vol. 43, no. 4, pp. 1523-1543, Oct. 2007. (Pubitemid 351344373)
31. B.-T. Vo, B.-N. Vo, and A. Cantoni, "Analytic implementations of the cardinalized probability hypothesis density filter," IEEE Trans. Signal Process., vol. 55, no. 7, pp. 3553-3567, Jul. 2007. (Pubitemid 47018838)
32. A. Swain and D. Clark, "Extended object filtering using spatial independent cluster processes," in Proc. Int. Conf. Inf. Fusion, Edinburgh, U.K., Jul. 2010.
33. F. Lian, C. Han, W. Liu, J. Liu, and J. Sun, "Unified cardinalized probability hypothesis density filters for extended targets and unresolved targets," Signal Process., vol. 92, no. 7, pp. 1729-1744, 2012.
34. U. Orguner, C. Lundquist, andK.Granström, "Extended target tracking with a cardinalized probability hypothesis density filter," in Proc. Int. Conf. Inf. Fusion, Chicago, IL, USA, Jul. 2011, pp. 65-72.
35. U. Orguner, C. Lundquist, and K. Granström, "Extended target tracking with a cardinalized probability hypothesis density filter," Dept. of Elect. Eng., Linköping Univ., SE-581 83 Linköping, Sweden, Tech. Rep. LiTH-ISY-R-2999, Mar. 2011 [Online]. Available: http://www.control.isy.liu. se/research/reports/2011/2999.pdf
36. A. K. Gupta and D. K. Nagar, Matrix Variate Distributions, ser. Chapman & Hall/CRC monographs and surveys in pure and applied mathematics. London, U.K.: Chapman & Hall, 2000.
37. K. Granström and U. Orguner, "Estimation and maintenance of measurement rates for multiple extended target tracking," in Proc. Int. Conf. Inf. Fusion, Singapore, Jul. 2012.
38. K. Granström and U. Orguner, "On the reduction of Gaussian inverse Wishartmixtures," in Proc. Int. Conf. Inf. Fusion, Singapore, Jul. 2012.
39. U. Orguner, CPHD Filter Derivation for Extended Targets Nov. 2010 [Online]. Available: http://arxiv.org/abs/1011.1512v2, ArXiv:1011.1512v2.
40. D. E. Clark, K. Panta, and B.-N. Vo, "The GM-PHD filter multiple target tracker," in Proc. Int. Conf. Inf. Fusion, Florence, Italy, Jul. 2006.
41. K. Panta, D. Clark, and B.-N. Vo, "Data association and track management for the Gaussian mixture probability hypothesis density filter," IEEE Trans. Aerosp. Electron. Syst., vol. 45, no. 3, pp. 1003-1016, Jul. 2009.
42. D. Schuhmacher, B.-T. Vo, and B.-N. Vo, "A consistent metric for performance evaluation of multi-object filters," IEEE Trans. Signal Process., vol. 56, no. 8, pp. 3447-3457, Aug. 2008.