How dense should a sensor network be for detection with correlated observations?

IEEE Transactions on Information Theory

Volumn 52, Issue 11, 2006, Pages 5099-5106

  Chamberland, Jean François ^a   Veeravalli, Venugopal V ^b  

^a Texas AandM University   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Decentralized detection; Decision making; Distributed detection; Multisensor systems; Sensor network; Wireless sensors

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); CORRELATION DETECTORS; DECISION MAKING; GAUSSIAN NOISE (ELECTRONIC); RANDOM PROCESSES; SIGNAL DETECTION;

DECENTRALIZED DETECTION; DISTRIBUTED DETECTION; SENSOR NETWORK; WIRELESS SENSORS;

SENSOR DATA FUSION;

EID: 33750590109     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2006.883551     Document Type: Article

References (36)

1. Z. Chair and P. K. Varshney, "Distributed Bayesian hypothesis testing with distributed data fusion," IEEE Trans. Syst., Man, Cybern., vol. 18, pp. 695-699, Sep. 1988.
2. J. N. Tsitsiklis, "Decentralized detection," Adv. Stat. Signal Process., vol. 2, pp. 297-344, 1993.
3. R. Viswanathan and P. K. Varshney, "Distributed detection with multiple sensors: Part I - Fundamentals," Proc. IEEE, vol. 85, pp. 54-63, Jan. 1997.
4. R. S. Blum, S. A. Kassam, and H. V. Poor, "Distributed detection with multiple sensors: Part II - Advanced topics," Proc. IEEE, vol. 85, pp. 64-79, Jan. 1997.
5. P. Willett, P. F. Swaszek, and R. S. Blum, "The good, bad, and ugly: Distributed detection of a known signal in dependent Gaussian noise," IEEE Trans. Signal Process., vol. 48, pp. 3266-3279, Dec. 2000.
6. M. Kam, Q. Zhu, and W. S. Gray, "Optimal data fusion of correlated local decisions in multiple sensor detection systems," IEEE Trans. Aerosp. Electron. Syst., vol. 28, pp. 916-120, Jul. 1992.
7. J.-G. Chen and N. Ansari, "Adaptive fusion of correlated local decisions," IEEE Trans. Syst., Man, Cybern., Part C, vol. 28, no. 2, pp. 276-281, May 1998.
8. V. Aalo and R. Viswanathan, "On distributed detection with correlated sensors: Two examples," IEEE Trans. Aerosp. Electron. Syst., vol. 25, pp. 414-421, May 1989.
9. E. Drakopoulos and C.-C. Lee, "Optimum multisensor fusion of correlated local decisions," IEEE Trans. Aerosp. Electron. Syst., vol. 27, pp. 5-14, Jul. 1991.
10. J.-F. Chamberland and V. V. Veeravalli, "Decentralized detection in sensor network," IEEE Trans. Signal Process., vol. 51, pp. 407-416, Feb. 2003.
11. J.-F. Chamberland and V. V. Veeravalli, "Asymptotic results for decentralized detection in power constrained wireless sensor networks," IEEE J. Select. Areas Commun., vol. 22, pp. 1007-1015, Aug. 2004.
12. H. V. Poor, An Introduction to Signal Detection and Estimation, 2nd ed. New York: Springer, 1994.
13. A. Dembo and O. Zeitouni, Large Deviations Techniques and Applications, 2nd ed. New York: Springer, 1998.
14. H. L. V. Trees, Detection, Estimation, and Modulation Theory. New York: Wiley, 2001, pt. Part I.
15. J.-F Chamberland and V. V. Veeravalli, "Decentralized detection in wireless sensor systems with dependent observations," in Proc. Int. Conf. Comput., Commun. Contr. Technol., Aug. 2004.
16. R. M. Gray, Toeplitz and Circulant Matices: A Review. Stanford, CA: Free Book, 2002.
17. G. R. Benitz and J. A. Bucklew, "Large deviation rate calculations for nonlinear detectors in Gaussian noise," IEEE Trans. Inf. Theory, vol. 36, pp. 358-371, Mar. 1990.
18. W. Bryc and A. Dembo, "Large deviations for quadratic functionals of Gaussian processes," J. Theor. Prob., vol. 10, no. 2, pp. 307-332, 1997.
19. B. Bercu, F. Gamboa, and A. Rouault, "Large deviations for quadratic forms of stationary Gaussian processes," Stoch. Process. Appl., vol. 71, pp. 75-90, 1997.
20. I. F. Akyildiz, W. Su, Y. Sankarasubramaniam, and E. Cayirci, "A survey on sensor networks," IEEE Commun. Mag., vol. 40, no. 8, pp. 102-114, Aug. 2002.
21. V. Raghunathan, C. Schurgers, S. Park, and M. B. Srivastava, "Energy-aware wireless microsensor networks," IEEE Signal Processs. Mag., vol. 19, no. 2, pp. 40-50, Mar. 2002.
22. R. Ahlswede and I. Csiszar, "Hypothesis testing with communication constraints," IEEE Trans. Inf. Theory, vol. 32, pp. 533-542, Jul. 1986.
23. R. K. Bahr and J. A. Bucklew, "Minimax estimation of unknown deterministic signals in colored noise," IEEE Trans. Inf. Theory, vol. 34, pp. 632-641, Jul. 1988.
24. G. R. Benitz and J. A. Bucklew, "Asymptotically optimal quantizers for detection of i.i.d. data," IEEE Trans. Inf. Theory, vol. 35, pp. 316-325, Mar. 1989.
25. R. K. Bahr, "Asymptotic analysis of error probabilities for the nonzeromean Gaussian hypothesis testing problem," IEEE Trans. Inf. Theory, vol. 36, pp. 597-607, May 1990.
26. R. K. Bahr and J. A. Bucklew, "Optimal sampling schemes for the Gaussian hypothesis testing problem," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1677-1686, Oct. 1990.
27. W. Bryc and W. Smolenski, "On the large deviation principle for a quadratic functional of the autoregressive process," Stat. Prob. Lett., vol. 17, pp. 281-285, 1993.
28. W. Bryc and A. Dembo, "On large deviations of empirical measures for stationary Gaussian processes," Stoch. Process. Appl., vol. 58, pp. 23-34, 1995.
29. P.-N. Chen and A. Papamarcou, "New asymptotic results in parallel distributed detection," IEEE Trans. Inf. Theory, vol. 39, pp. 1847-1863, Nov. 1993.
30. B. Chen and P. K. Varshney, "A Bayesian sampling approach to decision fusion using hierarchical models," IEEE Trans. Signal Process., vol. 50, pp. 1809-1818, Aug. 2002.
31. A. D'Costa, V. Ramachandran, and A. M. Sayeed, "Distributed classification of Gaussian space-time sources in wireless sensor networks," IEEE J. Select. Areas Commun., vol. 22, pp. 1026-1036, Aug. 2004.
32. W. W. Irving and J. N. Tsitsiklis, "Some properties of optimal thresholds in decentralized detection," IEEE Trans. Automat. Contr., vol. 39, pp. 835-838, Apr. 1994.
33. C. Rago, P. Willett, and Y. Bar-Shalom, "Censoring sensors: A low-communication-rate scheme for distributed detection," IEEE Trans. Aerosp. Electron. Syst., vol. 32, pp. 554-568, Apr. 1996.
34. Y. Sung, L. Tong, and A. Swami, "Asymptotic locally optimal detector for large-scale sensor networks under the poisson regime," in Proc. Int. Conf. Acoust., Speech, Signal Processing, May 2004, vol. 2, pp. 1077-1080.
35. R. R. Tenney and N. R. Sandell, Jr, "Detection with distributed sensors," IEEE Trans. Aerosp. Electron. Syst., vol. 17, pp. 501-510, 1981.
36. J. N. Tsitsiklis, "Decentralized detection by a large number of sensors," Math. Contr., Signals, Syst., vol. 1, no. 2, pp. 167-182, 1988.