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1、CapacityofMulti-antennaGaussianChannelsWeinvestigate(研究)theuseofmultipletransmittingand/orreceivingantennasforsingleusercommunicationsovertheadditiveGaussianchannel（加性高斯白噪声信道）withandwithoutfading.Wederive（推导）formulas（公式）forthecapacitiesanderrorexponents（范例）ofsuchchanne
2、ls,anddescribecomputationalprocedures（计算过程）toevaluatesuchformulas.Weshowthatthepotentialgainsofsuchmulti-antennasystemsoversingle-antennasystemsisratherlargeunderindependenceassumptions（假定）forthefadesandnoisesatdifferentreceivingantennas.1IntroductionWewillconsiderasin
3、gleuserGaussianchannelwithmultipletransmittingand/orreceivingantennas.Wewilldenotethenumberoftransmittingantennasbytandthenumberofreceivingantennasbyr.WewillexclusivelydealwithalinearmodelinwhichthereceivedvectordependsonthetransmittedvectorviawhereHisar*tcomplexmatrix
4、andniszero-meancomplexGaussiannoisewithindependent,equalvariance(方差)realandimaginaryparts.Weassume,thatis,thenoisescorruptingthedffierentreceiversareindependent.Thetransmitterisconstrained（受制于）initstotalpowertoP,Equivalently,since,andexpectationandtracecommute,Thisseco
5、ndformofthepowerconstraint（限制）willprovemoreusefulintheupcomingdiscussion.Wewillconsiderseveralscenarios（情景）forthematrixH:1.Hisdeterministic.（确定性的）2.Hisarandommatrix(forwhichweshallusethenotationH),chosenaccordingtoaprobabilitydistribution（概率分布）,andeachuseofthechannelco
6、rresponds（相当于）toanindependentrealizationofH.3.Hisarandommatrix,butisfixedonceitischosen.Themainfocusofthispaperinonthelasttwoofthesecases.Thefirstcaseisincludedsoastoexpose（显示）thetechniques（方法）usedinthelatercasesinamorefamiliarcontext.InthecaseswhenHisrandom,wewillassu
7、methatitsentriesformani.i.d.Gaussiancollectionwithzero-mean,independentrealandimaginaryparts,eachwithvariance1/2.Equivalently,eachentryofHhasuniform(相同的)phase（相）andRayleighmagnitude（瑞利量级）.ThischoicemodelsaRayleighfadingenvironmentwithenoughseparationwithinthereceivinga
8、ntennasandthetransmittingantennassuchthatthefadesforeachtransmitting-receivingantennapairareindependent.Inallcases,we
