Some Issues On Banlanced Binary Realy Tree Network With Channel Noise

Wireless sensor network(WSN)is composed of a large number of sensors with wireless communication function.The network can collect and process the information of detected events or perceived objects in the covered area,then transmit the information to the owner of the network through wireless communication.WSN is widely used in military,medical health,intelligent transportation and other fields because of its reliability,self-organization and other advantages.In the related research of wireless sensor network,distributed target detection is an important research area.In the distributed detection network,each sensor preprocesses its observation and makes a local decision,then sends the decision to other sensors,recursively,data will arrive at the fusion center and the fusion center will make the overall decision.Distributed detection network can effectively reduce energy consumption,meanwhile,the requirements of sensor performance and network communication bandwidth will also decline.This paper mainly focuses on the research and analysis of distributed single target detection in wireless sensor networks.The research background and current situation of wireless sensor network are introduced,the distributed detection network structure and the optimal fusion rules of local sensor and fusion center based on Bayes criterion are introduced as well.After that,this paper mainly studies the tree structure of wireless sensor network.Considering the noise of communication channel under the assumptions that sensors are independent given each hypothesis and have identical false alarm probability and identical missed detection probability,we study the detection performance of balanced binary tree detection network with relay nodes.We pair the false alarm probability and missed detection probability according to the level of the tree and describe the evolutional process of two kinds of error probabilities as a discrete dynamic system.Then,the dynamic properties of the two kinds of error probability are analyzed in the rectangular coordinate plane,the iterative mode keeping region and the iterative mode switching region are given,both of them are related to the communication noise.On this basis,the global attractive invariant set of the system is derived,which is not affected by communication noise.Finally,the simulation results of the above regions are verified,and the switching mode and the total error probability of the dynamic system are analyzed based on the invariant set.