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		Yunmin ZHU,Xiaorong LI.[en_title][J].Control Theory and Technology,2005,3(1):47~54.[Copy]

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YunminZHU,XiaorongLI
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Received:May 12, 2003Revised:March 01, 2005

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Optimal decision f usion given sens or rules

Yunmin ZHU, Xiaorong LI

(Department of Mathematics ,Sichuan University , Chengdu Sichuan 610064 , China;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.

Key words: Distributed decision Optimal fusion Likelihood ratio test Sensor rule