MULTIPLE-INPUT, MULTIPLE-OUTPUT CHANNEL MODELS WileySeriesinAdaptiveandLearningSystemsforSignalProcessing, CommunicationandControl Editor:SimonHaykin AdaliandHaykin/ADAPTIVESIGNALPROCESSING:NextGenerationSolutions Beckerman/AdaptiveCooperativeSystems Candy/Model-BasedSignalProcessing Chen,Haykin,Eggermont,andBecker/CorrelativeLearning:ABasisforBrainandAdaptive Systems ChenandGu/Control-OrientedSystemIdentification:AnH1Approach CherkasskyandMulier/LearningfromData:Concepts,Theory,andMethods CostaandHaykin/Multiple-Input,Multiple-OutputChannelModels:TheoryandPractice DiamantarasandKung/PrincipalComponentNeuralNetworks:TheoryandApplications Haykin/UnsupervisedAdaptiveFiltering:BlindSourceSeparation Haykin(cid:2)UnsupervisedAdaptiveFiltering:BlindDeconvolution HaykinandLiu(cid:2)HandbookonArrayProcessingandSensorNetworks HaykinandPuthussarypady(cid:2)ChaoticDynamicsofSeaClutter HaykinandWidrow(cid:2)LeastMean-SquareAdaptiveFilters Hrycej(cid:2)Neurocontrol:TowardsanIndustrialControlMethodology Hyva¨rinen,Karhunen,andOja(cid:2)IndependentComponentAnalysis Kristic´,Kanellakopoulos,andKokotovic´ (cid:2)NonlinearandAdaptiveControlDesign Mann(cid:2)IntelligentImageProcessing NikiasandShao(cid:2)SignalProcessingwithAlpha-StableDistributionsandApplications PassinoandBurgess(cid:2)StabilityAnalysisofDiscreteEventSystems Sa´nchez-Pen˜aandSznaier(cid:2)RobustSystemsTheoryandApplications Sandberg,Lo,Fancourt,Principe,Katagairi,andHaykin(cid:2)NonlinearDynamicalSystems: FeedforwardNeuralNetworkPerspectives SellathuraiandHaykin(cid:2)Space-TimeLayeredInformationProcessingforWirelessCommunications Spooner,Maggiore,Ordo´n˜ez,andPassino(cid:2)StableAdaptiveControlandEstimationforNonlinear Systems:NeuralandFuzzyApproximatorTechniques Tao(cid:2)AdaptiveControlDesignandAnalysis TaoandKokotovic´ (cid:2)AdaptiveControlofSystemswithActuatorandSensorNonlinearities TsoukalasandUhrig(cid:2)FuzzyandNeuralApproachesinEngineering VanHulle(cid:2)FaithfulRepresentationsandTopographicMaps:FromDistortion-toInformation-Based Self-Organization Vapnik(cid:2)StatisticalLearningTheory Werbos(cid:2)TheRootsofBackpropagation:FromOrderedDerivativestoNeuralNetworksandPolitical Forecasting YeeandHaykin(cid:2)RegularizedRadialBiasFunctionNetworks:TheoryandApplications MULTIPLE-INPUT, MULTIPLE-OUTPUT CHANNEL MODELS Theory and Practice By Nelson Costa Simon Haykin Wiley Series in Adaptive and Learning Systems for Signal Processing, Communication, and Control Copyright#2010byJohnWiley&Sons,Inc.Allrightsreserved PublishedbyJohnWiley&Sons,Inc.,Hoboken,NewJersey PublishedsimultaneouslyinCanada Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmittedinanyformorby anymeans,electronic,mechanical,photocopying,recording,scanning,orotherwise,exceptaspermitted underSections107or108ofthe1976UnitedStatesCopyrightAct,withouteitherthepriorwritten permissionofthePublisher,orauthorizationthroughpaymentoftheappropriateper-copyfeetothe CopyrightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,(978)750-8400,fax(978) 750-4470,oronthewebatwww.copyright.com.RequeststothePublisherforpermissionshouldbe addressedtothePermissionsDepartment,JohnWiley&Sons,Inc.,111RiverStreet,Hoboken,NJ07030, (201)748-6011,fax(201)748-6008,oronlineathttp://www.wiley.com/go/permission. 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ISBN978-0-470-39983-5(cloth) 1.MIMOsystems.I.Haykin,SimonS.,1931-II.Title TK5103.2.C6752010 621.382--dc22 2009052165 PrintedintheUnitedStatesofAmerica 10 9 8 7 6 5 4 3 2 1 To my parents and my wife, for their patience and encouragement. —Nelson Costa CONTENTS Preface xiii Acknowledgments xv 1 Introduction 1 1.1 HistoricalPerspective / 1 1.1.1 Electromagnetism / 1 1.1.2 TheHertzTransmitter / 3 1.1.3 TeslaandWirelessPower / 4 1.1.4 LodgeandTunableCircuits / 4 1.1.5 MarconiandTrans-AtlanticCommunication / 5 1.2 MIMOCommunications / 6 1.3 MIMOChannelModels / 9 1.3.1 TheChannelModelSpectrum / 9 1.3.2 WidebandMIMOChannelModels / 11 1.4 SoftwareDefinedRadio / 12 1.5 Overview / 14 1.5.1 Chapter2:MultipleAntennaChannelsand Correlation / 14 1.5.2 Chapter3:CorrelativeModels / 15 1.5.3 Chapter4:ClusterModels / 15 1.5.4 Chapter5:ChannelSounding / 16 1.5.5 Chapter6:ExperimentalVerifications / 16 1.5.6 Appendixes:BackgroundandDefinitions / 17 2 MultipleAntennaChannelsandCorrelation 19 2.1 TheRadioChannel:Definitions / 19 2.1.1 ThePhysicalChannel / 19 2.1.2 TheAnalyticalChannel / 20 vii viii CONTENTS 2.2 ChannelClassifications / 21 2.2.1 LinearTime-InvariantChannels / 21 2.2.2 Time-InvariantNarrowbandChannels / 23 2.2.3 Time-VaryingWidebandChannelsandBello’sModel / 23 2.2.4 TheTapped-DelayLineModelandthePhysicalChannel / 27 2.2.5 NarrowbandDiversityChannels / 29 2.2.6 TheNarrowbandMIMOChannel / 31 2.2.7 TheWidebandMIMOChannel / 32 2.2.8 TheWidebandMIMOChannelRecastUsingTensors / 33 2.3 SummaryofChannelClassifications / 34 2.4 Second-OrderStatisticsofMultipleAntennaChannels / 34 2.4.1 Second-OrderStatisticsoftheVectorChannel / 36 2.4.2 Second-OrderStatisticsoftheNarrowbandMIMOChannel / 36 2.5 Second-OrderStatisticsoftheWidebandMIMOChannel / 39 2.5.1 EigenvalueDecompositionoftheWideband CorrelationMatrix / 41 2.6 SpatialStructureofMultipleAntennaChannels / 42 2.6.1 SIMOChannelsandBeamformers / 42 2.6.2 MIMOBeamformers / 47 2.7 SummaryandDiscussion / 51 2.7.1 ChannelClassifications / 51 2.7.2 MultiantennaChannels / 51 2.7.3 SpatialStructureandtheAPS / 52 2.8 NotesandReferences / 52 2.8.1 ChannelClassifications / 52 2.8.2 Second-OrderStatisticsofMultiantennaChannels / 53 2.8.3 TheSpatialStructureofMultiantennaChannels / 53 3 CorrelativeModels 55 3.1 VectorChannelSynthesisfromtheVectorCorrelationMatrix / 56 3.2 MatrixChannelSynthesisfromtheNarrowbandCorrelationMatrix / 57 3.2.1 NumberofModelParameters / 57 3.3 One-SidedCorrelationforNarrowbandMIMOChannels / 58 3.4 TheKroneckerModel / 59 3.4.1 TheNarrowbandKroneckerModel / 59 3.4.2 TheWidebandKroneckerModel / 61 3.4.3 NotesontheNarrowbandandWidebandKronecker Models / 61
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