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1、RandomMatrixTheoryandWirelessCommunicationsAntoniaM.TulinoDept.IngegneriaElettronicaedelleTelecomunicazioniUniversit′adegliStudidiNapoli”FedericoII”Naples80125,Italyatulino@ee.princeton.eduSergioVerd′uDept.ElectricalEngineeringPrincetonUniversityPrincet
2、on,NewJersey08544,USAverdu@princeton.eduTMFoundationsandTrendsinCommunicationsandInformationTheoryPublished,soldanddistributedby:POBox1792600ADDelftTheNetherlandsTel:+31-6-51115274www.nowpublishers.comsales@nowpublishers.cominNorthAmerica:nowPublishersI
3、nc.POBox1024Hanover,MA02339USATel.+1-781-985-4510Printedonacid-freepaperISSNs:Paperversion1567-2190;Electronicversion1567-2328c2004A.M.TulinoandS.Verd′uAllrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmittedinany
4、formorbyanymeans,mechanical,photocopying,recordingorotherwise,withoutpriorwrittenpermissionofthepublishers.NowPublishersInc.hasanexclusivelicencetopublishthismate-rialworldwide.Permissiontousethiscontentmustbeobtainedfromthecopyrightlicenceholder.Please
5、applytonowPublishers,POBox179,2600ADDelft,TheNetherlands;www.nowpublishers.com;e-mail:sales@nowpublishers.comPrintedinGreatBritainbyAntonyRoweLimited.FoundationsandTrends?inCommunicationsandInformationTheoryVol1,No1(2004)1-182?2004A.M.TulinoandS.Verd′uR
6、andomMatrixTheoryandWirelessCommunicationsAntoniaM.Tulino1,SergioVerd′u21Dept.IngegneriaElettronicaedelleTelecomunicazion,iUniversitadegliStudidiNapoli“FedericoII”,Naples80125,Italy2Dept.ElectricalEngineering,PrincetonUniversity,Princeton,NewJersey08544
7、,USAAbstractRandommatrixtheoryhasfoundmanyapplicationsinphysics,statis-ticsandengineeringsinceitsinception.Althoughearlydevelopmentsweremotivatedbypracticalexperimentalproblems,randommatricesarenowusedin?eldsasdiverseasRiemannhypothesis,stochasticdi?ere
8、ntialequations,condensedmatterphysics,statisticalphysics,chaoticsystems,numericallinearalgebra,neuralnetworks,multivari-atestatistics,informationtheory,signalprocessingandsmall-worldnetworks.Thisarticleprovidesatutorialonrandomma
