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1、2044IEEETRANSACTIONSONWIRELESSCOMMUNICATIONS,VOL.9,NO.6,JUNE2010DistributedConsensus-BasedDemodulation:AlgorithmsandErrorAnalysisHaoZhu,StudentMember,IEEE,AlfonsoCano,StudentMember,IEEE,andGeorgiosB.Giannakis,Fellow,IEEEAbstract—Thispaperdealswithdistributeddemodulationofonlylimitedredu
2、ndantinformationand/orthesensorscannotspace-timetransmissionsofacommonmessagefromamulti-requestretransmissionswhenerrorsaredetected.Forinstance,antennaaccesspoint(AP)toawirelesssensornetwork.BasedtheAPmightbeanunmannedaerialvehicle(UAV)flyingoveronlocalmessageexchangeswithsingle-hopneigh
3、boringsensors,aWSNdeployedontheground,andbroadcastinglastsfortwoalgorithmsaredevelopedfordistributeddemodulation.Inthefirstalgorithm,sensorsconsentontheestimatedsymbols.onlyashortperiodoftime.Moreover,duetolimitedresources,Byrelaxingthefinite-alphabetconstraintsonthesymbols,sensorsmayonly
4、affordlineardemodulationmodules.Inthedemodulationtaskisformulatedasadistributedconvexsuchcases,collaborationamongsensorsisimperativetoim-optimizationproblemthatissolvediterativelyusingthemethodprovethequalityoflocallyreceivedinformation.Furthermore,ofmultipliers.Distributedversionsofthe
5、centralizedzero-forcingduetocommunicationandenergyconstraints,inter-sensor(ZF)andminimummean-squareerror(MMSE)demodulatorsfollowasspecialcases.Inthesecondalgorithm,sensorsiterativelycommunicationsmayberestrictedtoone-hoptransmissions.reachconsensusontheaverage(cross-)covariancesoflocall
6、yInthiscontext,theobjectiveofthispaperistodevelopavailableper-sensordatavectorswiththecorrespondingAP-to-distributedalgorithmstodemodulateacommonspace-timesensorchannelmatrices,whichconstitutesufficientstatisticsformatrixtransmittedfromamulti-antennaAP.maximumlikelihooddemodulation.Distr
7、ibutedversionsofthespheredecodingalgorithmandtheZF/MMSEdemodulatorsareFromaninformation-theoreticperspective,theproblemofalsodeveloped.Thesealgorithmsofferdistinctmeritsintermsofinteractivedecodingofacommonmessageoverabroadcasterrorperformanceandresiliencetonon-idealinter-senso
