Distributed sequential Bayesian estimation of a diffusive source in wireless sensor networks

IEEE Transactions on Signal Processing

Volumn 55, Issue 4, 2007, Pages 1511-1524

  Zhao, Tong ^a   Nehorai, Arye ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

Diffusive source; Distributed estimation; Sensor node scheduling; Sequential Bayesian method; Wireless sensor networks

Indexed keywords

BAYESIAN NETWORKS; GAUSSIAN DISTRIBUTION; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION;

DIFFUSIVE SOURCE; DISTRIBUTED ESTIMATION; SENSOR NODE SCHEDULING;

WIRELESS SENSOR NETWORKS;

EID: 34147175951     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.889975     Document Type: Article

References (27)

1. S. Kumar, F. Zhao, and D. Shepherd, Eds., "Special issue on collaborative signal and information processing in microsensor networks," IEEE Signal Process. Mag., vol. 19, no. 2, Mar. 2002.
2. F. Zhao and L. J. Guibas, Wireless Sensor Networks: An Information Processing Approach. San Francisco, CA: Morgan Kaufmann, 2004.
3. A. Nehorai, B. Porat, and E. Paldi, "Detection and localization of vapor-emitting sources," IEEE Trans. Signal Process., vol. SP-43, pp. 243-253, Jan. 1995.
4. B. Porat and A. Nehorai, "Localizing vapor-emitting sources by moving sensors," IEEE Trans. Signal Process., vol. SP-44, pp. 1018-1021, Apr. 1996.
5. A. Jerimić and A. Nehorai, "Design of chemical sensor arrays for monitoring disposal sites on the ocean floor," IEEE J. Ocean. Eng. vol. 23, pp. 334-343, Oct. 1998.
6. A. Jerimić and A. Nehorai, "Landmine detection and localization using chemical sensor array processing," IEEE Trans. Signal Process. vol. SP-48, pp. 1295-1265, May 2000.
7. T. Zhao and A. Nehorai, "Detecting and estimating biochemical dispersion of a moving source in a semi-infinite medium," IEEE Trans. Signal Process., vol. 54, no. 6, pt. 1, pp. 2213-2225, Jun. 2006.
8. F. Zhao, J. Shin, and J. Reich, "Information-driven dynamic sensor collaboration," IEEE Signal Process. Mag., vol. 19, no. 2, pp. 61-72, March 2002.
9. M. Chu, H. Haussecker, and F. Zhao, "Scalable information-driven sensor querying and routing for ad hoc heterogeneous sensor networks," Int. J. High-Perform. Comput. Applicat., vol. 16, no. 3, pp. 90-110, 2002.
10. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Englewood Cliffs, NJ: Prentice-Hall, 1993.
11. A. Mutambara, Decentralized Estimation and Control for Multisensor Systems. Boca Raton, FL: CRC, 1998.
12. B. D. Anderson and J. B. Moore, Optimal Filtering. Englewood Cliffs, NJ: Prentice-Hall, 1979.
13. R. S. Busy and K. D. Senne, "Digital synthesis of nonlinear filters," Automatica, vol. 7, pp. 287-298, 1971.
14. A. Doucet, N. de Freitas, and N. J. Gordon, Eds., Sequential Monte Carlo Methods in Practice, ser. Series: Statistics for Eng. Inf. Sci.. New York: Springer-Verlag, 2001.
15. M. Coates, "Distributed particle filters for sensor networks," in 3rd Int. Symp. Inf. Process. Sensor Netw., Apr. 26-27, 2004, pp. 93-107.
16. M. Rosencrantz, G. Gordon, and S. Thrun, "Decentralized sensor fusion with distributed particle filters," in Prof. Conf. Uncertainty in Artif. Intell., Acapulco, Mexico, Aug. 2003.
17. X. Sheng, Y.-H. Hu, and P. Ramanathan, "Distributed particle filter with GMM approximation for multiple targets localization and tracking in wireless sensor network," in Proc. 4th Int. Symp. Inf. Process. Sensor Netw., Apr. 15, 2005, pp. 181-188.
18. J. Crank, The Mathematics of Diffusion, 2nd ed. Oxford: Oxford Univ. Press, 1975.
19. W. Jost, Diffusion in Solids, Liquids, Gases. New York: Academic, 1952.
20. J. M. Bernardo and A. F. M. Smith, Bayesian Theory. New York: Wiley, 1994.
21. A. Azevedo-Filho and R. D. Shachter, "Laplace's method approximations for probabilistic inference in belief networks with continuous variables," in Proc. 10th Conf. Uncertainty in Artif. Intell., San Mateo, CA, 1994, pp. 28-36.
22. E. Paldi and A. Nehorai, "Exact nonlinear filtering via Gauss transform eigenfunctions," in Proc. Int. Conf. Acoust., Speech, Signal Process., Apr. 1991, vol. 5, pp. 3389-3392.
23. H. W. Sorenson and D. L. Alspach, "Recursive Bayesian estimation using Gaussian sums," Automatica, vol. 7, pp. 465-479, 1971.
24. D. L. Alspach and H. W. Sorenson, "Nonlinear Bayesian estimation using Gaussian sum approximations," IEEE Trans. Autom. Control, vol. 17, no. 4, Aug. 1972.
25. C. S. Withers, "A simple expression for the multivariate Hermite polynomials," Stat. Probab. Lett., vol. 47, pp. 165-169, 2000.
26. C. S. Withers, "The moments of the multivariate normal," Bull. Austral. Math. Soc., vol. 32, pp. 103-107, 1985.
27. P. Tichavský, C. H. Muravchik, and A. Nehorai, "Posterior Cramér-Rao bounds for discrete-time nonlinear filtering," IEEE Trans. Signal Process., vol. 46, no. 5, May 1998.