Analysis of set-theoretic and stochastic models for fusion under unknown correlations

Fusion 2011 - 14th International Conference on Information Fusion

Volumn , Issue , 2011, Pages

  Reinhardt, Marc ^a   Noack, Benjamin ^a   Baum, Marcus ^a   Hanebeck, Uwe D ^a  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

Bayesian; Correlation coefficient; Estimation; Filtering; Fusion

Indexed keywords

BAYESIAN; CORRELATION COEFFICIENT; COVARIANCE INTERSECTION; DATA FUSION THEORY; MULTI-DIMENSIONAL STATE; MULTIPLE ESTIMATES; OPTIMAL RESULTS; OPTIMIZATION CRITERIA; STATE SPACE; UNIFORM MODEL;

DATA FUSION; ESTIMATION; INFORMATION FUSION; OPTIMIZATION; RANDOM VARIABLES; STOCHASTIC SYSTEMS;

STOCHASTIC MODELS;

EID: 80052549728     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (22)

1. M. E. Liggins, D. L. Hall, and J. Llinas, Eds., Handbook of Multisensor Data Fusion: Theory and Practice, 2nd ed., ser. The Electrical Engineering and Applied Signal Processing Series. CRC Press, 2009.
2. S. Grime and H. Durrant-Whyte, "Data Fusion in Decentralized Sensor Networks," Control Engineering Practice, vol. 2, no. 5, pp. 849-863, 1994.
3. C.-Y. Chong and S. Mori, "Graphical Models for Nonlinear Distributed Estimation," in Proceedings of the 7th International Conference on Information Fusion (Fusion 2004), Stockholm, Sweden, Jun. 2004.
4. M. E. Liggins, C.-Y. Chong, I. Kadar, M. G. Alford, V. Vannicola, and S. Thomopoulis, "Distributed Fusion Architectures and Algorithms for Target Tracking," in Proceedings of the IEEE, vol. 85, no. 1, 1997.
5. S. J. Julier and J. K. Uhlmann, "A Non-divergent Estimation Algorithm in the Presence of Unknown Correlations," in Proceedings of the IEEE American Control Conference (ACC 1997), vol. 4, Albuquerque, New Mexico, USA, Jun. 1997, pp. 2369-2373.
6. -, Handbook of Multisensor Data Fusion: Theory and Practice, 2nd ed. CRC Press, 2009, ch. General Decentralized Data Fusion with Covariance Intersection, pp. 319-343.
7. Y. Bar-Shalom and L. Campo, "The Effect of the Common Process Noise on the Two-Sensor Fused-Track Covariance," IEEE Transactions on Aerospace and Electronic Systems, vol. 22, no. 6, pp. 803-805, Nov. 1986. (Pubitemid 17549458)
8. Y. L. Vladimir Shin and and T.-S. Choi, "Generalized Millman's Formula and its Application for Estimation Problems," vol. 86, pp. 257-266, 2006.
9. J. K. Uhlmann, "General Data Fusion for Estimates with Unknown Cross Covariances," in Proceedings of SPIE Aerosense Conference, vol. 2755, 1996, pp. 536-547.
10. U. D. Hanebeck and K. Briechle, "New Results for Stochastic Prediction and Filtering with Unknown Correlations," in Proceedings of the 2001 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI 2001), Baden-Baden, Germany, Aug. 2001, pp. 147-152. (Pubitemid 34773108)
11. U. D. Hanebeck, K. Briechle, and J. Horn, "A Tight Bound for the Joint Covariance of Two Random Vectors with Unknown but Constrained Cross-Correlation," in Proceedings of the 2001 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI 2001), Baden-Baden, Germany, Aug. 2001, pp. 85-90. (Pubitemid 34773098)
12. L. Chen, P. O. Arambel, and R. K. Mehra, "Fusion under Unknown Correlation - Covariance Intersection as a Special Case," in Proceedings of the 5th International Conference on Information Fusion (Fusion 2002), Annapolis, Maryland, USA, Jul. 2002.
13. W. Niehsen, "Information Fusion based on Fast Covariance Intersection Filtering," in Proceedings of the 5th International Conference on Information Fusion (Fusion 2002), Annapolis, Maryland, USA, Jul. 2002.
14. D. Fränken and A. Hüpper, "Improved Fast Covariance Intersection for Distributed Data Fusion," in Proceedings of the 8th International Conference on Information Fusion (Fusion 2005), Philadelphia, Pennsylvania, USA, Jul. 2005.
15. M. B. Hurley, "An Information Theoretic Justification for Covariance Intersection and its Generalization," in Proceedings of the 5th International Conference on Information Fusion (Fusion 2002), Annapolis, Maryland, USA, Jul. 2002.
16. Y. Wang and X. R. Li, "A Fast and Fault-Tolerant Convex Combination Fusion Algorithm under Unknown Cross-Correlation," in Proceedings of 12th International Conference on Information Fusion (Fusion 2009), Seattle, Washington, USA, Jul. 2009.
17. C.-Y. Chong and S. Mori, "Convex Combination and Covariance Intersection Algorithms in Distributed Fusion," in Proceedings of the 4th International Conference on Information Fusion (Fusion 2001), Montréal, Quebec, Canada, Aug. 2001.
18. Y. Wang and X. R. Li, "Distributed Estimation Fusion under Unknown Cross-correlation: An Analytic Center Approach," in Proceedings of the 13th International Conference on Information Fusion (Fusion 2010), Edinburgh, United Kingdom, Jul. 2010.
19. B. Noack, V. Klumpp, D. Brunn, and U. D. Hanebeck, "Nonlinear Bayesian Estimation with Convex Sets of Probability Densities," in Proceedings of the 11th International Conference on Information Fusion (Fusion 2008), Cologne, Germany, Jul. 2008, pp. 1-8.
20. V. Klumpp and U. D. Hanebeck, "Bayesian estimation with uncertain parameters of probability density functions," in Proc. 12th Int. Conf. Information Fusion FUSION '09, 2009, pp. 1759-1766.
21. G. T. Gilber, "Positive Definite Matrices and Sylvester's Criterion," American Mathematical Monthly, vol. 98, 1991.
22. J. Sijs, M. Lazar, and P. P. J. van den Bosch, "State-Fusion with Unknown Correlation: Ellipsoidal Intersection," in Proceedings of the 2010 American Control Conference (ACC 2010), Baltimore, Maryland, USA, Jun. 2010.