Optimal power allocation for distributed detection over MIMO channels in wireless sensor networks

IEEE Transactions on Signal Processing

Volumn 56, Issue 9, 2008, Pages 4124-4140

  Zhang, Xin ^a   Poor, H Vincent ^b   Chiang, Mung ^b  

^a UNITED TECHNOLOGIES RESEARCH CENTER   (United States)

^b Princeton University   (United States)

Author keywords

Distributed detection; Multiple input multiple output (MIMO) channel; Power allocation; Wireless sensor networks (WSNs)

Indexed keywords

CHANNEL MODELS; COMMUNICATION CHANNELS; DETECTION PERFORMANCE; DETECTION STATISTICS; DISTRIBUTED DETECTION; EQUAL POWER ALLOCATIONS; FUSION CENTERS; J DIVERGENCES; LOCAL DECISIONS; MIMO CHANNELS; MULTIPLE INPUT/MULTIPLE OUTPUTS; MULTIPLE-INPUT MULTIPLE-OUTPUT (MIMO) CHANNEL; OPTIMAL POWER ALLOCATIONS; ORTHOGONAL CHANNELS; PERFORMANCE CRITERION; POWER ALLOCATION; TOTAL POWER; TRACTABLE ANALYSIS; TRANSMITTER POWER; WATER FILLINGS;

COMMUNICATION; COMMUNICATION CHANNELS (INFORMATION THEORY); MULTIPLEXING; OPTIMIZATION; SENSOR NETWORKS; TRANSMITTERS; WIRELESS TELECOMMUNICATION SYSTEMS;

WIRELESS SENSOR NETWORKS;

EID: 65449138003     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2008.924639     Document Type: Article

References (35)

1. S. M. Ali and S. D. Silvey, "A general class of coefficients of divergence of one distribution from another," J. Roy. Stat. Soc., ser. B, vol. 28, pp. 131-142, 1966.
2. D. P. Bertsekas, Nonlinear Programming, 2nd ed. Boston, MA: Athena Scientific, 1999.
3. R. S. Blum, S. A. Kassam, and H. V. Poor, "Distributed detection with multiple sensors: Part II - Advanced topics," Proc. IEEE, vol. 85, no. 1, pp. 64-79, Jan. 1997.
4. S. Boyd and L. Vandenberghe, Convex Optimization. New York: Wiley, 1991.
5. B. Chen, R. Jiang, T. Kasetkasem, and P. K. Varshney, "Channel aware decision fusion in wireless sensor networks," IEEE Trans. Signal Process., vol. 52, no. 12, pp. 3454-3458, Dec. 2004.
6. B. Chen and P. K. Willett, "On the optimality of the likelihood-ratio test for local sensor decision rules in the presence of nonideal channels," IEEE Trans. Inf. Theory, vol. 51, no. 2, pp. 693-699, Feb. 2005.
7. J. F. Chamberland and V. V. Veeravalli, "Decentralized detection in sensor networks," IEEE Trans. Signal Process., vol. 51, no. 2, pp. 407-416, Feb. 2003.
8. J. F. Chamberland and V. V. Veeravalli, "Asymptotic results for decentralized detection in power constrained wireless sensor networks," IEEE J. Sel. Areas Commun., vol. 22, no. 6, pp. 1007-1015, Aug. 2004.
9. J. F. Chamberland and V. V. Veeravalli, "How dense should a sensor network be for detection with correlated observations?," IEEE Trans. Inf. Theory, vol. 52, no. 11, pp. 5099-5106, Nov. 2006.
10. J. F. Chamberland and V. V. Veeravalli, "Wireless sensors in distributed detection applications," IEEE Signal Process. Mag., vol. 24, no. 3, pp. 16-25, May 2007.
11. T. Cover and J. Thomas, Elements of Information Theory. New York: Wiley, 1991.
12. I. Csiszár and J. Körner, Information Theory: Coding Theorems for Discrete Memoryless Systems. Budapest, Hungary: Akadémiai Kaidó, 1981.
13. T. M. Duman and M. Salehi, "Decentralized detection over multipleaccess channels," IEEE Trans. Aerosp. Electron. Syst., vol. 34, no. 2, pp. 469-476, Apr. 1998.
14. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore, MD: Johns The Johns Hopkins Univ. Press, 1996.
15. S. K. Jayaweera, "Bayesian fusion performance and system optimization for distributed stochastic Gaussian signal detection under communication constraints," IEEE Trans. Signal Process., vol. 55, no. 4, pp. 1238-1250, Apr. 2007.
16. H. Jeffreys, "An invariant form for the prior probability in estimation problems," in Proc. Roy. Soc. A., 1946, vol. 186, pp. 453-461.
17. T. Kailath, "The divergence and Bhattacharyya distance measures in signal selection," IEEE Trans. Commun. Technol., vol. 15, no. 2, pp. 52-60, Feb. 1967.
18. H. Kobayashi and J. B. Thomas, "Distance measures and related criteria," in Proc. 5th Annu. Allerton Conf. Circuit System Theory Oct. 1967, pp. 491-500.
19. H. Kobayashi, "Distance measures and asymptotic relative efficiency," IEEE Trans. Inf. Theory, vol. 16, no. 3, pp. 288-291, May 1970.
20. K. Liu and A. M. Sayeed, "Type-based decentralized detection in wireless sensor networks," IEEE Trans. Signal Process., vol. 55, no. 5, pp. 1899-1910, May 2007.
21. G. Mergen, V. Naware, and L. Tong, "Asymptotic detection performance of type-based multiple access over multiaccess fading channels," IEEE Trans. Signal Process., vol. 55, no. 3, pp. 1081-1092, Mar. 2007.
22. P. J. Moreno, P. P. Ho, and N. Vasconcelos, "A Kullback-Leibler divergence based kernel for SVM classification in multimedia applications," Adv. Neural Inf. Process. Syst., vol. 16, pp. 1385-1393, 2003.
23. A. J. Motley and J. P. Keenan, "Personal communication radio coverage in buildings at 900 MHz and 1700 MHz," Electron. Lett., vol. 24, pp. 763-764, 1988.
24. R. Niu, B. Chen, and P. K. Varshney, "Fusion of decisions transmitted over Rayleigh fading channels in wireless sensor networks," IEEE Trans. Signal Process., vol. 54, no. 3, pp. 1018-1027, Mar. 2006.
25. H. V. Poor, An Introduction to Signal Detection and Estimation. New York: Springer, 1994.
26. H. V. Poor and J. B. Thomas, "Applications of Ali-Silvey distance measures in the design of generalized quantizers for binary decision systems," IEEE Trans. Commun., vol. 25, no. 9, pp. 893-900, Sep. 1977.
27. J. B. Predd, S. R. Kulkarni, and H. V. Poor, "Consistency in models for distributed learning under communication constraints," IEEE Trans. Inf. Theory, vol. 52, no. 1, pp. 52-63, Jan. 2006.
28. 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, no. 2, pp. 554-568, Apr. 1996.
29. Y. Singer and M. K. Warmuth, "Batch and on-line parameter estimation of Gaussian mixtures based on the joint entropy," Adv. Neural Inf. Process. Syst., vol. 11, pp. 578-584, 1998.
30. D. Tse and P. Viswanath, Fundamentals of Wireless Communication. Cambridge, U.K.: Cambridge Univ. Press, 2004.
31. J. N. Tsitsiklis, "Decentralized detection," in Advances in Statistical Signal Proccessing, Signal Detection, H. V. Poor and J. B. Thomas, Eds. Greenwich, CT: JAI Press, 1993, vol. 2, pp. 297-344.
32. P. K. Varshney, Distributed Detection and Data Fusion. New York: Springer, 1996.
33. R. Viswanathan and P. K. Varshney, "Distributed detection with multiple sensors: Part I - Fundamentals," Proc. IEEE, vol. 85, no. 1, pp. 54-63, Jan. 1997.
34. S. Verdú, Multiuser Detection. Cambridge, U.K.: Cambridge Univ. Press, 1998.
35. X. Wang and H. V. Poor, Wireless Communication Systems: Advanced Techniques for Signal Reception. Upper Saddle River, NJ: Prentice-Hall, 2004.