Lossless linear transformation of sensor data for distributed estimation fusion

IEEE Transactions on Signal Processing

Volumn 59, Issue 1, 2011, Pages 362-372

  Duan, Zhansheng ^a,b   Li, X Rong ^a  

^a UNO College of Engineering   (United States)

^b XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Centralized fusion; distributed fusion; estimation fusion; full rank decomposition; LMMSE; reduced rate communication; singular measurement noise covariance matrix

Indexed keywords

CENTRALIZED FUSION; DISTRIBUTED FUSION; ESTIMATION FUSION; LMMSE; MEASUREMENT NOISE COVARIANCE MATRIX;

ALGORITHMS; COMMUNICATION; COVARIANCE MATRIX; ESTIMATION; LINEAR TRANSFORMATIONS; OPTIMIZATION; SENSORS; SPURIOUS SIGNAL NOISE;

SENSOR DATA FUSION;

EID: 79959552439     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2010.2084574     Document Type: Article

References (36)

1. X.R.Li,Y.M.Zhu,J.Wang, andC.Z.Han,"Optimallinear estimation fusion-Part I: Unied fusion rules," IEEE Trans. Inf. Theory, vol. 49, pp. 2192-2208, Sep. 2003.
2. Z. S. Duan, X. R. Li, and M. Yang, "Why are more sensors better in estimationfusion,"in Proc.2007 Int. ColloquiumInformation Fusion, Xi'an, China, Aug. 22-25, 2007, pp. 173-179.
3. X. R. Li, "Introduction to Information Fusion," Course Notes, Univ. of New Orleans, New Orleans, LA, 2008.
4. C. Y. Chong, "Hierarchical estimation," presented at the MIT/ONR Workshop on C3, Monterey, CA, 1979.
5. H. R. Hashemipour, S. Roy, and A. J. Laub, "Decentralized structures for parallel Kalman ltering," IEEE Trans. Autom. Control, vol. 33, pp. 88-94, Jan. 1988.
6. K. C. Chang, Z. Tian, and R. K. Saha, "Performance evaluation of track fusion with information matrix lter," IEEE Trans. Aerosp. Electron. Syst., vol. 38, pp. 455-466, Apr. 2002.
7. E. B. Song, Y. M. Zhu, J. Zhou, and Z. S. You, "Optimal Kalman l- tering fusion with cross-correlated sensor noises," Automatica, vol. 43, no. 8, pp. 1450-1456, Aug. 2007.
8. Z. S. Duan and X. R. Li, "The optimality of a class of distributed esti- mation fusion algorithm," in Proc. 11th Int. Conf. Information Fusion, Cologne, Germany, 2008, pp. 1285-1290.
9. Z. S. Duan and X. R. Li, "Optimal distributed estimation fusion with compressed data," in Proc. 12th Int. Conf. Information Fusion, Seattle, WA, Jul. 6-9, 2009, pp. 563-570.
10. Y.Bar-ShalomandL.Campo,"Theeffectofthecommonprocessnoise on the two-sensor fused-track covariance," IEEE Trans. Aerosp. Elec- tron. Syst., vol. 22, pp. 803-805, Nov. 1986.
11. K. H. Kim, "Development of track to track fusion algorithms," in Proc. 1994 Amer. Control Conf., Baltimore, MD, Jun. 1994, pp. 1037-1041.
12. K. C. Chang, R. K. Saha, and Y. Bar-Shalom, "On optimal track-to-track fusion," IEEE Trans. Aerosp. Electron. Syst., vol. 33, pp. 1271-1276, Oct. 1997.
13. H. M. Chen, T. Kirubarajan, and Y. Bar-Shalom, "Performance limits of track-to-track fusion versus centralized estimation: Theory and ap- plication," IEEE Trans. Aerosp. Electron. Syst., vol. 39, pp. 386-400, Apr. 2003.
14. K. C. Chang, Z. Tian, and S. Mori, "Performance evaluation for MAP state estimate fusion," IEEE Trans. Aerosp. Electron. Syst., vol. 40, pp. 706-714, Apr. 2004.
15. X. Tian and Y. Bar-Shalom, "Exact algorithms for four track-to-track fusion congurations: All you wanted to know but were afraid to ask," in Proc. 12th Int. Conf. Information Fusion, Seattle, WA, Jul. 6-9, 2009, pp. 537-544.
16. K. S. Zhang, X. R. Li, P. Zhang, and H. F. Li, "Optimal linear esti- mation fusion-Part VI: Sensor data compression," in Proc. 6th Int. Conf. Information Fusion, Cairns, Queensland, Australia, Jul. 2003, pp. 221-228.
17. Y.M.Zhu,E.B.Song,J.Zhou,andZ.S.You,"Optimaldimensionality reduction of sensor data in multisensor estimation fusion," IEEE Trans. Signal Process., vol. 53, no. 5, pp. 1631-1639, May 2005.
18. E. B. Song, Y. M. Zhu, and J. Zhou, "Sensors' optimal dimensionality compression matrix in estimation fusion," Automatica, vol. 41, no. 12, pp. 2131-2139, Dec. 2005.
19. I. D. Schizas, G. B. Giannakis, and Z. Q. Luo, "Distributed estima- tion using reduced-dimensionality sensor observations," IEEE Trans. Signal Process., vol. 55, no. 8, pp. 4284-4299, Aug. 2007.
20. Z. S. Duan and X. R. Li, "Optimal distributed estimation fusion with transformed data," in Proc. 11th Int. Conf. Information Fusion, Cologne, Germany, 2008, pp. 1291-1297.
21. X. R. Li and K. S. Zhang, "Optimal linear estimation fusion-Part IV: Optimality and efciency of distributed fusion," in Proc. 4th Int. Conf. Information Fusion, Montreal, QC, Canada, Aug. 2001, pp. WeB1-19-WeB1-26.
22. Y. Bar-Shalom and X. R. Li, Multitarget-Multisensor Tracking: Prin- ciples and Techniques. Storrs, CT: YBS Publishing, 1995.
23. C. Y. Chong, S. Mori, W. H. Barker, and K. C. Chang, "Architectures and algorithms for track association and fusion," IEEE Aerosp. Elec- tron. Syst. Mag., vol. 15, no. 1, pp. 5-13, Jan. 2000.
24. S. Mori, W. H. Barker, C. Chong, and K. C. Chang, "Track association and track fusion with nondeterministic target dynamics," IEEE Trans. Aerosp. Electron. Syst., vol. 38, pp. 659-668, Apr. 2002.
25. Y. Bar-Shalom, "On the track-to-track correlation problem," IEEE Trans. Autom. Control, vol. 26, pp. 571-572, Apr. 1981.
26. R. Piziak and P. L. Odell, "Full rank factorization of matrices," Math. Mag., vol. 72, no. 3, pp. 193-201, Jun. 1999.
27. X. R. Li, "Applied Estimation and Filtering," Course Notes, Univ. of New Orleans, New Orleans, LA, 2006.
28. X. R. Li, "Recursibility and optimal linear estimation and ltering," in Proc. 43rd IEEE Conf. Decision and Control, Atlantis, Paradise Island, Bahamas, Dec. 14-17, 2004, pp. 1761-1766.
29. A. T. Alouani, J. E. Gray, and D. H. McCabe, "Theory of distributed estimation using multiple asynchronous sensors," IEEE Trans. Aerosp. Electron. Syst., vol. 41, pp. 717-722, Apr. 2005.
30. X. D. Lin, Y. Bar-Shalom, and T. Kirubarajan, "Multisensor multi- target bias estimation for general asynchronous sensors," IEEE Trans. Aerosp. Electron. Syst., vol. 41, pp. 899-921, Apr. 2005.
31. T. Li, A. Ekpenyong, and Y. F. Huang, "Source localization and tracking using distributed asynchronous sensors," IEEE Trans. Signal Process., vol. 54, no. 10, pp. 3991-4003, Oct. 2006.
32. L. P. Yan, B. S. Liu, and D. H. Zhou, "Asynchronous multirate mul- tisensor information fusion algorithm," IEEE Trans. Aerosp. Electron. Syst., vol. 43, pp. 1135-1146, Jul. 2007.
33. D. Musicki, "Multi-target tracking using multiple passive bearings- only asynchronous sensors," IEEE Trans. Aerosp. Electron. Syst., vol. 44, pp. 1151-1160, Jul. 2008.
34. Y. Y. Hu, Z. S. Duan, and C. Z. Han, "Optimal batch asynchronous fusion algorithm," in Proc. 2005 IEEE Int. Conf. Vehicular Electronics Safety, Xi'an, China, Oct. 14-16, 2005, pp. 237-240.
35. X. R. Li, "Optimal linear estimation fusion-Part VII: Dynamic sys- tems," in Proc. 6th Int. Conf. Information Fusion, Cairns, Australia, Jul. 2003, pp. 455-462.
36. O. E. Drummond, "Feedback in track fusion without process noise," in Proc. 1995 SPIE Conf. Signal and Data Processing of Small Targets, Orlando, FL, Sep. 1995, vol. 2561, pp. 369-383.