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1、1In-NetworkChannelDecodingUsingConsensusonLog-LikelihoodRatioAveragesyHaoZhu,AlfonsoCano,andGeorgiosB.GiannakisDepartmentofElectricalandComputerEngineering,UniversityofMinnesota,200UnionStreet,Minneapolis,MN55455,USA.Abstract—ThispaperconsiderstheproblemofdistributedThedi
2、stributedconsensusproblemhasattractedgreatinter-decodingofacodedmessagefromamobileaccesspoint(AP)estsintherecentyears.Thedistributedconsensusaveragingsenttoasensornetwork.Thedistributeddecodingproblemisproblemwasinvestigatedin[1],[2],fromtheperspectivesolvedusingaconsensu
3、salgorithmonthelog-likelihoodratioofacceleratingconvergenceandminimizingtheeffectsofaverages,whichensuresthatallsensorsattainthesamedecisionasifallreceivedsignalswereavailableatacentralizedlocation.inter-sensornoise.TheconsensusestimationproblemhasbeenUnlikeexistingdistri
4、butedhypothesistestingproblems,whoseconsideredby[3]thedeterministicsignals.Theintroductionofinter-sensorcommunicationcostgrowsexponentiallywiththebridgesensorsin[3]exploitedthedecomposablestructureofcodewordsize,thenovelconsensus-baseddistributeddecoderthecentralizedoptim
5、izationproblem’saugmentedLagrangianexploitsknowledgeovertheproblemtoreducethecosttobewiththemethodofmultipliers[4].Moreover,forthelattercaselinear.Linkfailuresandinter-sensorcommunicationnoisearealsoaccountedfor.Analysisandsimulationsconfirmthatthenoiserobustnessisprovedbo
6、ththeoreticallyandnumerically.resultantdistributeddecoderattainsbiterrorrateperformanceTheideaofcooperationamongnodesfordistributedde-approachingitscentralizedcounterpartwithinafewiterations.tectionproblemshasalsoattractedmuchattentionrecently.IndexTerms—WirelessSensorNet
7、works(WSNs),DistributedConsensus-baseddistributedhypothesistesting(DHT)basedDecoding,ConsensusAverageonthebeliefconsensusalgorithmisproposedin[5],anditisshownthatthisalgorithmworksforanyconnectednetworkswithloops.ThisbeliefconsensusalgorithmbenefitsfromI.INTRODUCTIONscalab
8、ility,robustnesstolinkfailures,andasynchronismintheWeconsidertheproblemofcooperativelydecodingam