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1、3714IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.53,NO.10,OCTOBER2007ANetworkCodingApproachtoCooperativeDiversityLeiXiao,StudentMember,IEEE,ThomasE.Fuja,Fellow,IEEE,JörgKliewer,SeniorMember,IEEE,andDanielJ.Costello,Jr.,Fellow,IEEEAbstract—Thispaperproposesanetworkcodingapproachtheo
2、thernode(s).Becauseinformationistransmittedmultipletocooperativediversityfeaturingthealgebraicsuperpositionoftimesoncefromtheoriginatingnodeandthenagainfromthechannelcodesoverafinitefield.Thescenariounderconsiderationrelayingnode(s)spatialdiversityiseffected[2][7].isoneinwhichtw
3、o“partners”—NodeAandNodeB—cooperateConsiderasysteminwhichtwosourcenodesarepairedasintransmittinginformationtoasingledestination;eachpartnertransmitsbothlocallygeneratedinformationandrelayedinfor-partnersforthetransmissionoftheirdatatoacommondestina-mationthatoriginatedattheoth
4、erpartner.Akeyobservationistionnode.Thetwopartnerstaketurnstransmittinginformation,thatNodeBalreadyknowsNodeA’srelayedinformation(becauseandeachpartnertransmitstwokindsofinformationduringitsitoriginatedatNodeB)andcanexploitthatknowledgewhentimeslotthelocalinformationithasgener
5、atedandtherelayeddecodingNodeA’slocalinformation.Thisleadstoanencodinginformationitreceivedpreviouslyfromitspartner,therelayedschemeinwhicheachpartnertransmitsthealgebraicsuperposi-tionofitslocalandrelayedinformation,andthesuperimposedinformationbeingretransmittedtoprovidedive
6、rsity.Inprevi-codewordisinterpreteddifferentlyatthetworeceivers—i.e.,atouslyproposedapproaches,somemechanismisusedtosplittheotherpartnerandatthedestinationnode—basedontheirthetransmittersresourcesbetweenlocallygeneratedbitsanddifferentaprioriknowledge.Decodingatthedestinationi
7、sthenrelayedbits.Forinstance,[3][6]adoptedtimemultiplexingincarriedoutbyiteratingbetweenthecodewordsfromthetwowhicheachpartnerusesaportionofitstimeslotforlocalin-partners.Itisshownviasimulationthattheproposedschemeprovidessubstantialcodinggainoverothercooperativediversityforma
8、tionandtherestforrelayedinformation.Incontrast,intechniques,i
