Optimal Estimation in Wireless Sensor Networks with Double Measurements and Multiplicative Noise

作     者：LU Xiao1,2,ZHANG Huanshui11.School of Control Science and Engineering,Shandong University,Jinan 250061,P.R.China2.College of Information and Electrical Engineering,Shandong University of Science and Technology,Qingdao 266510,P.R.China 

会议名称：《第二十九届中国控制会议》

会议日期：2010年

学科分类：080904[工学-电磁场与微波技术] 0810[工学-信息与通信工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 080202[工学-机械电子工程] 08[工学] 080402[工学-测试计量技术及仪器] 0804[工学-仪器科学与技术] 081001[工学-通信与信息系统] 0802[工学-机械工程] 

基　　金：supported by NSF Grant(60804034,90920305) the Nature Science Foundation of Shandong Province(Y2007G34) China Postdoctoral Science Foundation Taishan Scholarship Construction Engineering 

关 键 词：Optimal estimation Double measurements Wireless sensor network Multiplicative noise 

摘      要：The optimal estimation for wireless sensor network systems is studied,where the measurements are observed from two different wireless channels,and the system is corrupted by multiplicative *** the system model,the probability of each packet-drop of measurements is *** optimal estimator is derived by probability method and Kalman filtering formulae based on projection theorem,the proposed optimal estimator is different from previous works,and some properties of the estimation error covariance are proposed,which will be useful to analyze the statistical convergence properties and the upper and lower bounds on the expected state error covariance in future.