Converting bearings-only measurements to cartesian coordinates

IEEE Transactions on Aerospace and Electronic Systems

Volumn 45, Issue 1, 2009, Pages 393-404

  Luginbuhl, Tod ^a   Hempel, Christian ^a  

^a NAVAL UNDERSEA WARFARE CENTER   (United States)

Author keywords

Coordinate measuring machines; Covariance matrix; Current measurement; Eigenvalues and eigenfunctions; Probability density function; Sea measurements; Target tracking

Indexed keywords

BEARINGS-ONLY; CARTESIAN COORDINATES; CARTESIANS; COORDINATE CONVERSIONS; CURRENT MEASUREMENT; EIGEN VALUES; INTEGRAL REPRESENTATIONS; PASSIVE MEASUREMENTS; RANGE INFORMATIONS; SEA MEASUREMENTS; SENSOR REGISTRATIONS;

COORDINATE MEASURING MACHINES; COVARIANCE MATRIX; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC CURRENT MEASUREMENT; MEASUREMENTS; SCANNING;

PROBABILITY DENSITY FUNCTION;

EID: 65449131688     PISSN: 00189251     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAES.2009.4805287     Document Type: Article

References (41)

1. Lerro, D., and Bar-Shalom, Y. Tracking with debiased consistent converted measurements versus EKF. IEEE Transactions on Aerospace and Electronic Systems, 29, 3 (July 1993), 1015-1022.
2. Longbin, M., Xiaquan, S., Yiyu, Z., Kang, S. Z., and Bar-Shalom, Y. Unbiased converted measurements for tracking. IEEE Transactions on Aerospace and Electronic Systems, 34, 3 (July 1998), 1023-1027.
3. Duan, Z., Han, C., and Li, X. R. Comments on "Unbiased Converted Measurements for Tracking". IEEE Transactions on Aerospace and Electronic Systems, 40, 4 (Oct. 2004), 1374-1377.
4. Kronhamn, T. R. Bearings-only target motion analysis based on a multihypothesis Kalman filter and adaptive ownship motion control. IEE Proceedings-Radar, Sonar Navigation, 145, 4 (Aug. 1998), 247-252.
5. Streit, R. L. Bearings-only target motion analysis with propagation loss models of uncertain fidelity. In Theoretical and Computational Acoustics '97. Singapore: World Scientific, 1999, 571-584.
6. Streit, R. L., and Walsh, M. J. Augmented bearings-only target motion analysis with propagation loss models of uncertain fidelity. Naval Undersea Warfare Center Division Newport, Newport, RI, Technical Report 11218, Apr. 2000.
7. Streit, R. L., and Walsh, M. J. Bearings-only target motion analysis with acoustic propagation models of uncertain fidelity. IEEE Transactions on Aerospace and Electronic Systems, 38, 4 (Oct. 2002), 1122-1137.
8. Dominijanni, R. Notes on an augmented bearings-only target motion analysis algorithm. Unpublished notes, Sept. 2001.
9. Nardone, S. C., Lindgren, A. G., and Gong, K. F. Fundamental properties and performance of conventional bearings-only target motion analysis. IEEE Transactions on Automatic Control, AC-29, 9 (Sept. 1984), 775-787.
10. Holtsberg, A., and Holst, J. H. A nearly unbiased inherently stable bearings-only tracker. IEEE Journal of Oceanic Engineering, 18 2 (Apr. 1993), 138-141.
11. Nardone, S. C., and Graham, M. L. A closed-form solution to bearings-only target motion analysis. IEEE Journal of Oceanic Engineering, 22, 1 (Jan. 1997), 168-178.
12. Gauvrit, H., Le Cadre, J. P., and Jauffret, C. A formulation of multitarget tracking as an incomplete data problem. IEEE Transactions on Aerospace and Electronic Systems, 33, 4 (Oct. 1992), 1242-1257.
13. Chong, C.-Y., Mori, S., and Chang, K.-C. Distributed multitarget multisensor tracking. In Y. Bar-Shalom (Ed.), Multitarget-Multisensor Tracking: Advanced Applications. Norwood, MA: Artech House, 1990, 247-295.
14. Ting, P., and Iltis, R. A. Multitarget motion analysis in a DSN. IEEE Transactions on Systems, Man and Cybernetics, 21, 5 (Sept./Oct. 1991), 1125-1139.
15. Giannopoulos, E. H., Streit, R. L., and Swaszek, P. Multi-target track segment bearings-only association and ranging. In Proceedings of the Thirty-First Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, Nov. 1997.
16. Iltis, R. A., and Anderson, K. L. A consistent estimation criterion for multisensor bearings-only tracking. IEEE Transactions on Aerospace and Electronic Systems, 32, 1 (Jan. 1996), 108-120.
17. Stone, L. D., Barlow, C. A., and Corwin, T. L. Bayesian Multiple Target Tracking. Norwood, MA: Artech House, 1999.
18. Marrs, A. D. Asynchronous multi-sensor tracking in clutter with uncertain sensor locations using Bayesian sequential Monte Carlo methods. In Proceedings of the 2001 Aerospace Conference, Big Sky, MT, Mar. 2001, 2171-2177.
19. Bréhard, T., and Le Cadre, J.-P. Distributed target tracking for nonlinear systems: Application to bearings-only tracking. In Proceedings of the Seventh International Conference on Information Fusion, 2005, 77-84.
20. Gray, J. E. An exact determination of the probability density function under coordinate transformations. In Proceedings of the First IEEE Regional Conference on Aerospace Control Systems, Apr. 1993, 5-8.
21. Gray, J. E., and Addison, S. R. Computing the characteristic function for sums of sinusoidal random variables. In Proceedings of the Thirty-Eighth Southeastern Symposium on System Theory, Tennessee Technological University, Cooksville, TN, Mar. 2006, 338-454.
22. Gray, J. E., and Alouani, A. T. Characterization of polar to Cartesian coordinates transformation and its effect on target track quality. In S. L. Chodos and W. E. Thompson (Eds.), Proceedings of SPIE: Acquisition, Tracking, Pointing, and Laser Systems Technologies XXI, vol. 6569, May 2007.
23. Julier, S., Uhlmann, J., and Durrant-Whyte, H. F. A new method for the nonlinear transformation of means and covariances in filters and estimators. IEEE Transactions on Automatic Control, 45, 3 (Mar. 2000), 477-482.
24. Ito, K., and Xiong, K. Gaussian filters for filtering problems. IEEE Transactions on Automatic Control, 45, 5 (May 2000), 910-927.
25. Julier, S. The scaled unscented transform. In Proceedings of the American Control Conference, Anchorage, AK, May 2002, 4555-4559.
26. Lerner, U. N. Hybrid Bayesian networks for reasoning about complex systems. Ph.D. dissertation, Stanford University, Oct. 2002.
27. Julier, S. The spherical simplex unscented transform. In Proceedings of the American Control Conference, Denver, CO, June 2003, 2430-2434.
28. Julier, S. J., and Uhlmann, J. K. Unscented filtering and nonlinear estimation. Proceedings of the IEEE, 92, 3 (Mar. 2004), 401-422.
29. Julier, S. J., and Uhlmann, J. K. Corrections to "Unscented filtering and nonlinear estimation". Proceedings of the IEEE, 92, 12 (Dec. 2004), 1958.
30. Wu, Y., Hu, D., Wu, M., and Hu, X. A numerical-integration perspective on Gaussian filters. IEEE Transactions on Signal Processing, 54 8 (Aug. 2006), 2910-2921.
31. Kotz, S., Balakrishnan, N., and Johnson, N. L. Continuous Multivariate Distributions (2nd ed.). vol. 1, Models and Applications (Wiley Series in Probability and Statistics), New York: Wiley, 2000.
32. Muirhead, R. J. Aspects of Multivariate Statistical Theory (Wiley Series in Probability and Mathematical Statistics). New York: Wiley, 1982.
33. Anderson, B. D. O., and Moore, J. B. Optimal Filtering (Prentice Hall Information & Systems Sciences Series). Upper Saddle River, NJ: Prentice Hall, 1979.
34. Blackman, S. Multiple-Target Tracking with Radar Applications. Norwood, MA: Artech House, 1986.
35. Yao, K. A representation theorem and its applications to spherically-invariant random processes. IEEE Transactions on Information Theory, IT-19, 5 (Sept. 1973), 600-608.
36. Liporace, L. A. Maximum likelihood estimation for multivariate observations of Markov sources. IEEE Transactions on Information Theory, IT-28, 5 (Sept. 1982), 729-734.
37. Alecu, T. I., Voloshynovskiy, S., and Pun, T. The Gaussian transform of distributions: Definitions, computation and applications. IEEE Transactions on Signal Processing, 54, 8 (Aug. 2006), 2976-2985.
38. Halgreen, C. Self-decomposability of the generalized inverse Gaussian and hyperbolic distributions. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete, 47 (1979), 13-17.
39. Blaeslid, P. The two-dimensional hyperbolic distribution and related distributions, with an application to Johannsens's bean data. Biometrica, 68, 1 (Apr. 1981), 251-263.
40. Snoussi, H., and Idier, J. Bayesian blind seperation of generalized hyperbolic processes in noisy and underdetermined mixtures. IEEE Transactions on Signal Processing, 54, 9 (Sept. 2006), 3257-3269.
41. Mathai, A. M., and Provost, S. B. Quadratic Forms In Random Variables: Theory and Applications, vol. 126, Series in Statistics: Textbooks and Monographs. New York: Marcel Dekker, 1992.