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1、INSTITUTEOFPHYSICSPUBLISHINGJOURNALOFPHYSICSA:MATHEMATICALANDGENERALJ.Phys.A:Math.Gen.38(2005)1085910872doi:10.1088/0305-4470/38/49/024Randommatrixtheoryofmulti-antennacommunications:theRiceanchannelArisLMoustakas1,3andStevenHSimon21DepartmentofPhysics,UniversityofAthens,Panepistimiop
2、olis,Athens15784,Greece2BellLabs,LucentTechnologies,600MountainAvenue,MurrayHill,NJ07974,USAReceived25July2005,in?nalform26July2005Published22November2005Onlineatstacks.iop.org/JPhysA/38/10859AbstractTheuseofmulti-antennaarraysinwirelesscommunicationsthroughdisorderedmediapromiseshuge
3、increasesintheinformationtransmissionrate.Itisthereforeimportanttoanalysetheinformationcapacityofsuchsystemsinrealisticsituationsofmicrowavetransmission,wherethestatisticsofthetransmissionamplitudes(channel)maybecoloured.Here,wepresentanapproachthatprovidesanalyticexpressionsforthesta
4、tistics,i.e.themomentsofthedistribution,ofthemutualinformationforgeneralGaussianchannelstatistics.Themathematicalmethodappliestoolsdevelopedoriginallyinthecontextofcoherentwavepropagationindisorderedmedia,suchasrandommatrixtheoryandreplicas.Althoughitisvalidformallyforlargeantennanumb
5、ers,thisapproachproducesextremelyaccurateresultsevenforarrayswithasfewastwoantennas.Wealsodevelopamethodtoanalyticallyoptimizeovertheinputsignaldistribution,whichenablesustocalculateanalyticcapacitieswhenthetransmitterhasknowledgeofthestatisticsofthechannel.Theemphasisofthispaperisone
6、lucidatingthenovelmathematicalmethodsused.Wedothisbyanalysingaspeci?ccasewhenthechannelmatrixisacomplexGaussianwitharbitrarymeanandunitcovariance,whichisusuallycalledtheRiceanchannel.PACSnumbers:84.40.Ba,02.10.Yn,07.50.Qx1.IntroductionRecently,therehasbeenincreasedinterestinusingmulti
7、-antennaarrayssimultaneouslyintransmissionandreceptionofmicrowavesignals.Recenttheoreticalworkin[1]and[2]hasshownthatforsuf?cientlyrichscatteringenvironmentstheShannoncapacityofannt-elementtransmittingandannr-elementreceivingarrayisroughlyproportionaltomin(nr,nt)forlargenumbersofanten
8、nas.T
