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Optimal decision fusion given sensor rules
作者姓名:Yunmin ZHU  Xiaorong LI
作者单位:[1]DepartmentofMathematics,SichuanUniversity,ChengduSichuan610064,China [2]DepartmentofElectricalEngineering,UniversityofNewOrleans,NewOrleans,LA70148,USA
基金项目:ThisworkwassupportedinpartbyNSFofChina(No.60374025and60328306)andSRFDP(No.20030610018),inpartbyARO(No.W911NF_04_1_0274),NASA/LEQSF(No.2001-4-01),andtheNSFofChina(No.60328306).
摘    要:When all the rules of sensor decision are known,the optimal distributed decision fusion,which relies only on the joint conditional probability densities, can be derived for very general decision systems. They include those systems with interdependent sensor observations and any network structure. It is also valid for m-ary Bayesian decision problems and binary problems under the Neyman-Pearson criterion. Local decision rules of a sensor withfrom other sensors that are optimal for the sensor itself are also presented, which take the form of a generalized likelihood ratio test. Numerical examples are given to reveal some interesting phenomem that communication between sensors can improve performance of a senor decision,but cannot guarantee to improve the global fusion performance when sensor rules were given before fusing.

关 键 词:分布式判定  最佳融合  相似率试验  传感器
收稿时间:15 May 2003
修稿时间:3/1/2005 12:00:00 AM

Optimal decision f usion given sens or rules
Yunmin ZHU,Xiaorong LI.Optimal decision fusion given sensor rules[J].Journal of Control Theory and Applications,2005,3(1):47-54.
Authors:Yunmin ZHU  Xiaorong LI
Affiliation:1. Department of Mathematics,Sichuan University,Chengdu Sichuan 610064,China
2. Department of Electrical Engineering,University of New Orleans,New Orleans,LA 70148,USA
Abstract:When all the rules of sensor decision are known ,the optimal distributed decision fusion ,which relies only on the joint conditional probability densities , can be derived for very general decision systems. They include those systems with interdependent sensor observations and any network structure. It is also valid for m-ary Bayesian decision problems and binary problems under the Neyman- Pearson criterion. Local decision rules of a sensor with communication from other sensors that are optimal for the sensor itself are also presented ,which take the form of a generalized likelihood ratio test . Numerical examples are given to reveal some interesting phenomena that communication between sensors can improve performance of a senor decision ,but cannot guarantee to improve the global fusion performance when sensor rules were given before fusing.
Keywords:Distributed decision  Optimal fusion  Likelihood ratio test  Sensor rule
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