4.7 Article

Modeling and Mitigating Errors in Belief Propagation for Distributed Detection

期刊

IEEE TRANSACTIONS ON COMMUNICATIONS
卷 69, 期 5, 页码 3286-3297

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCOMM.2021.3056679

关键词

Optimization; Wireless sensor networks; Sensors; Signal processing algorithms; Random variables; Light rail systems; Hardware; Distributed systems; cooperative communications; likelihood-ratio test; communication errors; computation errors; blind signal processing; message-passing algorithms; linear data-fusion; factor graphs

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This study investigates the behavior of the belief-propagation algorithm affected by erroneous data exchange in a wireless sensor network. A decentralized distributed optimization framework is developed to enhance system performance by mitigating the impact of errors through distributed linear data fusion. The results of the proposed analysis are compared with existing works and performance gains are visualized through computer simulations.
We study the behavior of the belief-propagation (BP) algorithm affected by erroneous data exchange in a wireless sensor network (WSN). The WSN conducts a distributed multidimensional hypothesis test over binary random variables. The joint statistical behavior of the sensor observations is modeled by a Markov random field whose parameters are used to build the BP messages exchanged between the sensing nodes. Through linearization of the BP message-update rule, we analyze the behavior of the resulting erroneous decision variables and derive closed-form relationships that describe the impact of stochastic errors on the performance of the BP algorithm. We then develop a decentralized distributed optimization framework to enhance the system performance by mitigating the impact of errors via a distributed linear data-fusion scheme. Finally, we compare the results of the proposed analysis with the existing works and visualize, via computer simulations, the performance gain obtained by the proposed optimization.

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