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1、IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.49,NO.7,JULY20031691OntheAchievableThroughputofaMultiantennaGaussianBroadcastChannelGiuseppeCaire,SeniorMember,IEEE,andShlomoShamai(Shitz),Fellow,IEEEAbstract—AGaussianbroadcastchannel(GBC)withgainfromtheinput(transmitter)totheoutput(receiver).1single-anten
2、nareceiversandantennasatthetransmitteriscon-Thenoisevectorsequenceisindependentandidenticallysidered.Bothtransmitterandreceivershaveperfectknowledgedistributed(i.i.d.)withcomponentsforofthechannel.Despiteitsapparentsimplicity,thismodelis,inand.general,anondegradedbroadcastchannel(BC),forwhichthec
3、apacityregionisnotfullyknown.Despiteitssimplicity,themodel(1)isextremelyrichandForthetwo-usercase,wefindaspecialcaseofMarton’sdescribesseveralsituationsofinterestindatacommunications,regionthatachievesoptimalsum-rate(throughput).Inbrief,dependingontheconstraintsputonthetransmittersandthere-thetra
4、nsmitterdecomposesthechannelintotwointerferenceceiversandontheassumptionsaboutthechannelmatrix(seechannels,whereinterferenceiscausedbytheotherusersignal.Usersaresuccessivelyencoded,suchthatencodingofthesecondtherecenttutorials[1],[2]).Justtomentionsomecases:ifbothuserisbasedonthenoncausalknowledg
5、eoftheinterferencetransmittersandreceiversareallowedtocooperate,(1)repre-causedbythefirstuser.Thecrosstalkparametersareoptimizedsentsasingle-userMIMOGaussianchannel,arisinginmultiple-suchthattheoverallthroughputismaximumand,surprisingly,antennawirelesssystems[3].Ifonlythereceiversareallowedthisis
6、showntobeoptimaloverallpossiblestrategies(notonlytocooperateandthetransmittersareconstrainedtoencodetheirwithrespecttoMarton’sachievableregion).Forthecaseof2users,wefindasomewhatsimplerchoicesignalsindependently,(1)representsavectorGaussianmul-ofMarton’sregionbasedonorderingandsuccessivelyencodin
7、gtiple-accesschannel,arisingincode-divisionmultipleaccesstheusers.Foreachuserinthegivenordering,theinterference(CDMA)[4],[5].Ifonlythetransmittersareallowedtocoop-causedbyusersiseliminatedbyzeroforcingatthetrans-eratea
