ANTENNAS AND PROPAGATION WIRELESS FOR COMMUNICATION SYSTEMS Second Edition S R. S , IMON AUNDERS UNIVERSITYOFSURREY,GUILDFORD, UK ALEJANDRO ARAGO´N-ZAVALA, TECNOLO´GICOdEMONTERREY, CAMPUS QUERE´TARO, MEXICO Copyright(cid:1)2007 JohnWiley&SonsLtd,TheAtrium,SouthernGate, Chichester,WestSussex,PO198SQ,England Telephone(þ44)1243779777 Email(forordersandcustomerserviceenquiries):[email protected] VisitourHomePageonwww.wiley.com AllRightsReserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystemortransmittedin anyformorbyanymeans,electronic,mechanical,photocopying,recording,scanningorotherwise,exceptunderthetermsofthe Copyright,DesignsandPatentsAct1988orunderthetermsofalicenceissuedbytheCopyright LicensingAgencyLtd,90TottenhamCourtRoad,LondonW1T4LP,UK,withoutthepermissioninwritingofthePublisher. 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ForLuke,EmilyandGra´(cid:1)nne. SimonSaunders ToLaura,youaremyinspirationandmytruelove. ToCoco´,MaxiandFimbie. AlejandroArago´n-Zavala Contents PrefacetotheFirstEdition xix PrefacetotheSecondEdition xxi 1. Introduction:TheWirelessCommunicationChannel 1 1.1 INTRODUCTION 1 1.2 CONCEPTOFAWIRELESSCHANNEL 2 1.3 THEELECTROMAGNETICSPECTRUM 4 1.4 HISTORY 5 1.5 SYSTEMTYPES 7 1.6 AIMSOFCELLULARSYSTEMS 8 1.7 CELLULARNETWORKS 9 1.8 THECELLULARCONCEPT 9 1.9 TRAFFIC 13 1.10 MULTIPLEACCESSSCHEMESANDDUPLEXING 17 1.10.1 FrequencyDivisionMultipleAccess 17 1.10.2 TimeDivisionMultipleAccess 18 1.10.3 CodeDivisionMultipleAccess 18 1.11 AVAILABLEDATARATES 19 1.12 STRUCTUREOFTHISBOOK 20 1.13 CONCLUSION 22 REFERENCES 22 PROBLEMS 23 2. PropertiesofElectromagneticWaves 25 2.1 INTRODUCTION 25 2.2 MAXWELL’SEQUATIONS 25 2.3 PLANEWAVEPROPERTIES 26 2.3.1 FieldRelationships 27 2.3.2 WaveImpedance 27 viii Contents 2.3.3 PoyntingVector 28 2.3.4 PhaseVelocity 28 2.3.5 LossyMedia 28 2.4 POLARISATION 32 2.4.1 PolarisationStates 32 2.4.2 MathematicalRepresentationofPolarisation 32 2.4.3 RandomPolarisation 33 2.5 CONCLUSION 34 REFERENCES 34 PROBLEMS 34 3. PropagationMechanisms 37 3.1 INTRODUCTION 37 3.2 REFLECTION,REFRACTIONANDTRANSMISSION 37 3.2.1 LosslessMedia 37 3.2.2 LossyMedia 41 3.2.3 TypicalReflectionandTransmissionCoefficients 42 3.3 ROUGHSURFACESCATTERING 45 3.4 GEOMETRICALOPTICS 47 3.4.1 Principles 47 3.4.2 Formulation 49 3.5 DIFFRACTION 50 3.5.1 Principle 50 3.5.2 SingleKnife-EdgeDiffraction 51 3.5.3 OtherDiffractingObstacles:GeometricalTheoryofDiffraction 54 3.6 CONCLUSION 59 REFERENCES 59 PROBLEMS 59 4. AntennaFundamentals 61 4.1 INTRODUCTION 61 4.2 PRINCIPLES 61 4.2.1 WhatisanAntenna? 61 4.2.2 NecessaryConditionsforRadiation 62 4.2.3 Near-FieldandFar-FieldRegions 62 4.2.4 Far-FieldRadiationfromWires 63 4.3 ANTENNAPARAMETERS 65 4.3.1 RadiationPattern 65 4.3.2 Directivity 67 4.3.3 RadiationResistanceandEfficiency 67 4.3.4 PowerGain 68 4.3.5 Bandwidth 70 4.3.6 Reciprocity 70 4.3.7 ReceivingAntennaAperture 71 4.3.8 BeamwidthandDirectivity 71 4.3.9 TheFriisFormula:AntennasinFreeSpace 71 4.3.10 PolarisationMatching 72 Contents ix 4.4 PRACTICALDIPOLES 73 4.4.1 DipoleStructure 73 4.4.2 CurrentDistribution 74 4.4.3 RadiationPattern 74 4.4.4 InputImpedance 77 4.5 ANTENNAARRAYS 77 4.5.1 Introduction 77 4.5.2 LinearandPlanarArrays 77 4.5.3 TheUniformLinearArray 77 4.5.4 ParasiticElements:Uda–YagiAntennas 78 4.5.5 ReflectorAntennas 79 4.5.6 MonopoleAntennas 80 4.5.7 CornerReflectors 80 4.5.8 ParabolicReflectorAntennas 81 4.6 HORNANTENNAS 82 4.7 LOOPANTENNAS 83 4.8 HELICALANTENNAS 83 4.9 PATCHANTENNAS 84 4.10 CONCLUSION 85 REFERENCES 85 PROBLEMS 86 5. BasicPropagationModels 89 5.1 INTRODUCTION 89 5.2 DEFINITIONOFPATHLOSS 89 5.3 ABRIEFNOTEONDECIBELS 92 5.4 NOISEMODELLING 93 5.5 FREESPACELOSS 97 5.6 PLANEEARTHLOSS 98 5.7 LINKBUDGETS 101 5.8 CONCLUSION 103 REFERENCE 103 PROBLEMS 103 6. TerrestrialFixedLinks 105 6.1 INTRODUCTION 105 6.2 PATHPROFILES 105 6.3 TROPOSPHERICREFRACTION 108 6.3.1 Fundamentals 108 6.3.2 TimeVariability 111 6.3.3 DuctingandMultipath 111 6.4 OBSTRUCTIONLOSS 113 6.5 APPROXIMATEMULTIPLEKNIFE-EDGE DIFFRACTION 115 6.5.1 TheDeygoutMethod 115 6.5.2 TheCausebrookCorrection 116 6.5.3 TheGiovanelliMethod 117 x Contents 6.5.4 TestCases 117 6.6 THEMULTIPLE-EDGEDIFFRACTIONINTEGRAL 121 6.6.1 Slope-UTDMultiple-EdgeDiffractionModel 122 6.6.2 TestCase:ComparisonofMultipleModels 126 6.7 DIFFRACTIONOVEROBJECTSOFFINITESIZE 127 6.8 OTHERMETHODSFORPREDICTINGTERRAINDIFFRACTION 129 6.8.1 TheIntegralEquationModel 129 6.8.2 TheParabolicEquationMethod 131 6.9 INFLUENCEOFCLUTTER 134 6.10 CONCLUSION 135 REFERENCES 135 PROBLEMS 137 7. SatelliteFixedLinks 139 7.1 INTRODUCTION 139 7.2 TROPOSPHERICEFFECTS 140 7.2.1 Attenuation 140 7.2.2 RainAttenuation 141 7.2.3 GaseousAbsorption 146 7.2.4 TroposphericRefraction 148 7.2.5 TroposphericScintillation 148 7.2.6 Depolarisation 151 7.2.7 SkyNoise 153 7.3 IONOSPHERICEFFECTS 155 7.3.1 FaradayRotation 158 7.3.2 GroupDelay 159 7.3.3 Dispersion 159 7.3.4 IonosphericScintillation 160 7.3.5 SummaryofIonosphericEffects 160 7.4 SATELLITEEARTHSTATIONANTENNAS 160 7.5 CONCLUSION 161 REFERENCES 161 PROBLEMS 162 8. Macrocells 163 8.1 INTRODUCTION 163 8.2 DEFINITIONOFPARAMETERS 163 8.3 EMPIRICALPATHLOSSMODELS 164 8.3.1 ClutterFactorModels 165 8.3.2 TheOkumura–HataModel 167 8.3.3 TheCOST231–HataModel 169 8.3.4 TheLeeModel 169 8.3.5 TheIbrahimandParsonsModel 170 8.3.6 EnvironmentCategories 171 8.4 PHYSICALMODELS 172 8.4.1 TheAllsebrookandParsonsModel 172 Contents xi 8.4.2 TheIkegamiModel 173 8.4.3 RooftopDiffraction 174 8.4.4 TheFlatEdgeModel 175 8.4.5 TheWalfisch–BertoniModel 178 8.4.6 COST231/Walfisch–IkegamiModel 180 8.5 ITU-RMODELS 181 8.5.1 ITU-RRecommendationP.1411 181 8.5.2 ITU-RRecommendationP.1546 182 8.6 COMPARISONOFMODELS 182 8.7 COMPUTERISEDPLANNINGTOOLS 183 8.8 CONCLUSION 183 REFERENCES 183 PROBLEMS 185 9. Shadowing 187 9.1 INTRODUCTION 187 9.2 STATISTICALCHARACTERISATION 187 9.3 PHYSICALBASISFORSHADOWING 189 9.4 IMPACTONCOVERAGE 189 9.4.1 EdgeofCell 189 9.4.2 WholeCell 192 9.5 LOCATIONVARIABILITY 195 9.6 CORRELATEDSHADOWING 196 9.6.1 SerialCorrelation 197 9.6.2 Site-to-SiteCorrelation 199 9.7 CONCLUSION 205 REFERENCES 205 PROBLEMS 206 10. NarrowbandFastFading 209 10.1 INTRODUCTION 209 10.2 BASEBANDCHANNELREPRESENTATION 209 10.3 THEAWGNCHANNEL 210 10.4 THENARROWBANDFADINGCHANNEL 213 10.5 WHENDOESFADINGOCCURINPRACTICE? 214 10.6 THERAYLEIGHDISTRIBUTION 215 10.7 DISTRIBUTIONOFTHESNRFORARAYLEIGHCHANNEL 218 10.8 THERICEDISTRIBUTION 221 10.9 THENAKAGAMI-mDISTRIBUTION 226 10.10 OTHERFADINGDISTRIBUTIONS 227 10.11 SECOND-ORDERFAST-FADINGSTATISTICS 227 10.11.1 TheDopplerEffect 228 10.11.2 TheClassicalDopplerSpectrum 230 10.12 AUTOCORRELATIONFUNCTION 236 10.13 NARROWBANDMOBILERADIOCHANNELSIMULATIONS 238 10.14 CONCLUSION 239 xii Contents REFERENCES 239 PROBLEMS 240 11. WidebandFastFading 241 11.1 INTRODUCTION 241 11.2 EFFECTOFWIDEBANDFADING 242 11.3 WIDEBANDCHANNELMODEL 245 11.4 WIDEBANDCHANNELPARAMETERS 246 11.5 FREQUENCYDOMAINEFFECTS 251 11.6 THEBELLOFUNCTIONS 252 11.7 WIDEBANDFADINGINFIXEDLINKS 253 11.8 OVERCOMINGWIDEBANDCHANNELIMPAIRMENTS 254 11.9 CONCLUSION 254 REFERENCES 255 PROBLEMS 255 12. Microcells 257 12.1 INTRODUCTION 257 12.2 EMPIRICALMODELS 257 12.2.1 Dual-SlopeModel 257 12.2.2 TheLeeMicrocellModel 259 12.2.3 TheHar–Xia-BertoniModel 260 12.3 PHYSICALMODELS 262 12.4 LINE-OF-SIGHTMODELS 264 12.4.1 Two-RayModel 264 12.4.2 StreetCanyonModels 265 12.4.3 ITU-RP.1411StreetCanyonModel 267 12.4.4 RandomWaveguideModel 268 12.5 NON-LINE-OF-SIGHTMODELS 270 12.5.1 PropagationMechanismsandCellPlanningConsiderations 270 12.5.2 RecursiveModel 273 12.5.3 ITU-RP.1411Non-Line-of-SightModel 274 12.5.4 Site-SpecificRayModels 275 12.6 DISCUSSION 276 12.7 MICROCELLSHADOWING 277 12.8 NARROWBANDFADING 277 12.9 WIDEBANDEFFECTS 277 12.10 CONCLUSION 278 REFERENCES 279 PROBLEMS 280 13. Picocells 283 13.1 INTRODUCTION 283 13.2 EMPIRICALMODELSOFPROPAGATIONWITHINBUILDINGS 283 13.2.1 WallandFloorFactorModels 283
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