Generalised covariance union: a unified approach to hypothesis merging in tracking

IEEE Transactions on Aerospace and Electronic Systems

Volumn 46, Issue 1, 2010, Pages 207-221

  Reece, Steven ^a   Roberts, Stephen ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COSTS; COVARIANCE UNIONS; LIMITING CASE; MULTI-HYPOTHESIS TRACKING; NEW APPROACHES; NEW THEORY; SATELLITE SIGNALS; TIME DELAYED; TRACKING APPLICATION; UNIFIED APPROACH;

GLOBAL POSITIONING SYSTEM; SMALL NUCLEAR REACTORS;

MERGING;

EID: 77649170733     PISSN: 00189251     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAES.2010.5417157     Document Type: Article

References (25)

1. Bar-Shalom, Y., and Fortmann, T. E. Tracking and Data Association. Burlington, MA: Academic Press, 1988.
2. Williams, J. L., and Maybeck, P. S. Cost-function-based hypothesis control techniques for multiple hypothesis tracking. Mathematical and Computer Modeling, 43, 9-10 (2006), 976-989.
3. Julier, S. J., and Uhlmann, J. K. Fusion of time delayed measurements with uncertain time delays. In Proceedings of the American Control Conference, 2005, 4028-4033.
4. Blackman, S. S. Multiple-Target Tracking with Radar Applications. Norwood, MA: Artech House, 1986.
5. Salmond, D. J. Mixture reduction algorithms for target tracking in clutter. In O. E. Drummond (Ed.) Signal and Data Processing of Small Targets, SPIE 1305, 1990, 434-445.
6. Julier, S. J., Uhlmann, J. K., and Nicholson, D. A method for dealing with assignment ambiguity. In Proceedings of the American Control Conference, 2004, 4102-4107.
7. Berleant, D., and Zhang, J. Representation and problem solving with distribution envelope determination (denv). Reliability Engineering and System Safety, 85, 1-3 (2004), 153-168.
8. Vermeesch, P. Statistical uncertainty associated with histograms in the earth sciences. Journal of Geophysical Research - Solid Earth, 110, B2 (2005).
9. Cooper, J. A., Ferson, S., and Ginzburg, L. R. Hybrid processing of stochastic and subjective uncertainty data. Risk Analysis, 16, 6 (1996), 785-791.
10. Liu, C-L., and Wellman, M. P. Using qualitative relationships for bounding probability distributions. In Proceedings of the Fourteenth Conference on Uncertainty in Artificial Intelligence (UAI-98), Madison, WI, July 1998, 346-353.
11. Dana, P. H. Global positioning system (GPS) time dissemination for real-time applications. Real-Time Systems, 12 (1980), 9-40.
12. Ferson, S., and Hajagos, J. G. Varying correlation coefficients can underestimate uncertainty in probabilistic models. Reliability Engineering and System Safety, 91 (2006), 1461-1567.
13. Manski, C. F. Partial Identification of Probability Distributions. New York: Springer-Verlag, 2003.
14. Uhlmann, J. K. Covariance consistency methods for fault-tolerant distributed data fusion. Information Fusion, 4 (2003), 201-215.
15. Yee, J. C., Bresler, Y., and Moulin, P. Asymptotic global confidence regions in parametric shape estimation problems. IEEE Transactions on Information Theory, 46, 5 (2000), 1881-1895.
16. Comanor, K., Vandenberghe, L., and Boyd, S. Semidefinite programming and multivariate Chebyshev bounds. In Proceedings of the 5th lFAC Symposium on Robust Control Design, Toulouse, France, July 5-7, 2006, 346-353.
17. Vysochanskiï, D. F., and Petunin, Y. L. Justification of the 3σ rule for unimodal distributions. Theory of Probability and Mathematical Statistics, 21 (1980), 25-36.
18. Sorenson, H. W. Least-squares estimation: from Gauss to Kalman. IEEE Spectrum, 7 (July 1970), 63-68.
19. Maryak, J. L., Spall, J. C., and Heydon, B. D. Use of the Kalman filter for inference in state-space models with unknown noise distributions. IEEE Transactions on Automatic Control, 49, 1 (2004), 87-90.
20. Bochardt, O., Calhoun, R., Uhlmann, J. K., and Julier, S. J. Generalized information representation and compression using covariance union. In Proceedings of the 2006 FUSION Conference, Florence, Italy, July 10-13, 2006.
21. Golub, G. H., and van Loan, C. F. Matrix Computations (2nd ed.). Baltimore, MD: The John Hopkins University Press, 1989.
22. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. Numerical Recipes in C (2nd ed.). New York: Cambridge University Press, 1988.
23. Jakowski, N., Sardon, E., Engler, E., Jungstand, A., and Klähn, D. Relationships between GPS-signal propagation errors and eiscat observations. Annals of Geophysicae, 14 (1996), 1429-1436.
24. Sardón, E., Rius, A., and Zarraoa, N. Estimation of the transmitter and receiver differential biases and the ionospheric total electron content from global positioning system observations. Radio Science, 29, 3 (June 1994), 577-586.
25. Clopper, C., and Pearson, S. The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika, 26 (1934), 404-413.