LD approach to asymptotically optimum sensor fusion

作者: Dongliang Duan , Louis L. Scharf , Liuqing Yang

DOI: 10.1049/IET-COM.2016.0588

关键词:

摘要: Sensor fusion maybe used to improve detection performance in applications. The idea is make decisions locally, and then transmit them a global centre where the decision made. For making, Bayes or Neyman–Pearson reasoning determines optimal use of local variables. However, determination variables that minimise error probability intractable. In this study, authors design maximise mutual information between binary variable underlying state. This serves as benchmark against which globally optimum solutions compared. Then, they theory large deviations (LDs) determine rule minimises asymptotic probability. LD produces one-dimensional search on receiver operating characteristic curve equalise exponents for false alarm miss probabilities. Many interesting properties solution are proved. Numerical results illustrate asymptotically finite collections sensors.

参考文章(16)
Di Li, Soummya Kar, Jose M. F. Moura, H. Vincent Poor, Shuguang Cui, Distributed Kalman Filtering Over Massive Data Sets: Analysis Through Large Deviations of Random Riccati Equations IEEE Transactions on Information Theory. ,vol. 61, pp. 1351- 1372 ,(2015) , 10.1109/TIT.2015.2389221
C.-C. Lee, J.-J. Chao, Optimum local decision space partitioning for distributed detection IEEE Transactions on Aerospace and Electronic Systems. ,vol. 25, pp. 536- 544 ,(1989) , 10.1109/7.32086
Sachin Chaudhari, Jarmo Lunden, Visa Koivunen, H. Vincent Poor, Cooperative Sensing With Imperfect Reporting Channels: Hard Decisions or Soft Decisions? IEEE Transactions on Signal Processing. ,vol. 60, pp. 18- 28 ,(2012) , 10.1109/TSP.2011.2170978
Dusan Jakovetic, Jose M. F. Moura, Joao Xavier, Distributed Detection Over Noisy Networks: Large Deviations Analysis IEEE Transactions on Signal Processing. ,vol. 60, pp. 4306- 4320 ,(2012) , 10.1109/TSP.2012.2197395
John N. Tsitsiklis, Decentralized Detection by a Large Number of Sensors Mathematics of Control, Signals, and Systems. ,vol. 1, pp. 167- 182 ,(1988) , 10.1007/BF02551407
John A. Gubner, Edwin K. P. Chong, Louis L. Scharf, Aggregation and compression of distributed binary decisions in a wireless sensor network conference on decision and control. pp. 909- 913 ,(2009) , 10.1109/CDC.2009.5400145
R. Viswanathan, P.K. Varshney, Distributed detection with multiple sensors Part I. Fundamentals Proceedings of the IEEE. ,vol. 85, pp. 54- 63 ,(1997) , 10.1109/5.554208
J. Tsitsiklis, M. Athans, On the complexity of decentralized decision making and detection problems IEEE Transactions on Automatic Control. ,vol. 30, pp. 440- 446 ,(1985) , 10.1109/TAC.1985.1103988
Dragana Bajovic, Dus˘an Jakovetic, João Xavier, Bruno Sinopoli, José M. F. Moura, Distributed Detection via Gaussian Running Consensus: Large Deviations Asymptotic Analysis IEEE Transactions on Signal Processing. ,vol. 59, pp. 4381- 4396 ,(2011) , 10.1109/TSP.2011.2157147
J.-F. Chamberland, V.V. Veeravalli, Decentralized detection in sensor networks IEEE Transactions on Signal Processing. ,vol. 51, pp. 407- 416 ,(2003) , 10.1109/TSP.2002.806982