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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—Thispaperproposesanetworkcoding
2、approachtheothernode(s).Becauseinformationistransmittedmultipletocooperativediversityfeaturingthealgebraicsuperpositionoftimesoncefromtheoriginatingnodeandthenagainfromthechannelcodesoverafinitefield.Thescenariounderconsiderationrelayingnode(s)spatialdiversityiseffec
3、ted[2][7].isoneinwhichtwo“partners”—NodeAandNodeB—cooperateConsiderasysteminwhichtwosourcenodesarepairedasintransmittinginformationtoasingledestination;eachpartnertransmitsbothlocallygeneratedinformationandrelayedinfor-partnersforthetransmissionoftheirdatatoacommon
4、destina-mationthatoriginatedattheotherpartner.Akeyobservationistionnode.Thetwopartnerstaketurnstransmittinginformation,thatNodeBalreadyknowsNodeA’srelayedinformation(becauseandeachpartnertransmitstwokindsofinformationduringitsitoriginatedatNodeB)andcanexploitthatkn
5、owledgewhentimeslotthelocalinformationithasgeneratedandtherelayeddecodingNodeA’slocalinformation.Thisleadstoanencodinginformationitreceivedpreviouslyfromitspartner,therelayedschemeinwhicheachpartnertransmitsthealgebraicsuperposi-tionofitslocalandrelayedinformation,
6、andthesuperimposedinformationbeingretransmittedtoprovidediversity.Inprevi-codewordisinterpreteddifferentlyatthetworeceivers—i.e.,atouslyproposedapproaches,somemechanismisusedtosplittheotherpartnerandatthedestinationnode—basedontheirthetransmittersresourcesbetweenlo
7、callygeneratedbitsanddifferentaprioriknowledge.Decodingatthedestinationisthenrelayedbits.Forinstance,[3][6]adoptedtimemultiplexingincarriedoutbyiteratingbetweenthecodewordsfromthetwowhicheachpartnerusesaportionofitstimeslotforlocalin-partners.Itisshownviasimulation
8、thattheproposedschemeprovidessubstantialcodinggainoverothercooperativediversityformationandtherestforrelayedinformation.Incontrast,intechniques,i
