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1、RFoundationsandTrendsinsampleVol.xx,Noxx(xxxx)1–171cxxxxxxxxxxxxxDOI:xxxxxxTransmissioncapacityofwirelessnetworksStevenWeber1andJeffreyG.Andrews21DrexelUniversity,sweber@coe.drexel.edu2TheUniversityofTexasatAustin,jandrews@ece.utexas.eduAbstractTransmissioncapacity(TC)isaperfor
2、mancemetricforwirelessnet-worksthatmeasuresthespatialintensityofsuccessfultransmissionsperunitarea,subjecttoaconstraintonthepermissibleoutageprob-ability(whereoutageoccurswhentheSINRatareceiverisbelowathreshold).ThisvolumegivesaunifiedtreatmentoftheTCframeworkthathasbeendevelop
3、edbytheauthorsandtheircollaboratorsoverthepastdecade.Themathematicalframeworkunderlyingtheanalysis(re-arXiv:1201.0662v1[cs.IT]3Jan2012viewedinCh.2)isstochasticgeometry:Poissonpointprocessesmodelthelocationsofinterferers,and(stable)shotnoiseprocessesrepresenttheaggregateinterfe
4、renceseenatareceiver.Ch.3presentsTCresults(exact,asymptotic,andbounds)onasimplemodelinordertoillustrateakeystrengthoftheframework:analyticaltractabilityyieldsexplicitperformancedependenceuponkeymodelparameters.Ch.4presentsenhancementstothisbasicmodel—channelfading,variablelink
5、dis-tances,andmulti-hop.Ch.5presentsfournetworkdesigncasestudieswell-suitedtoTC:i)spectrummanagement,ii)interferencecancella-tion,iii)signalthresholdtransmissionscheduling,andiv)powercon-trol.Ch.6studiestheTCwhennodeshavemultipleantennas,whichprovidesacontrastvs.classicalresul
6、tsthatignoreinterference.Contents1Introductionandpreliminaries11.1Motivationandassumptions21.2Keydefinitions:PPP,OP,andTC51.3Overviewoftheresults92Mathematicalpreliminaries152.1Probability:notations,definitions,keyinequalities172.2PPPvoidprobabilitiesanddistancemappings202.3Shot
7、noise(SN)processes222.4Stabledistributions,Laplacetransforms,andPGFL302.5MaximumsandsumsofRVs353Basicmodel393.1ExactOPandTC403.2AsymptoticOPandTC433.3UpperboundonTCandlowerboundonOP443.4Throughput(TP)andTC47iiiContents3.5LowerboundsonTCandupperboundsonOP524Extensionstothebasic
8、model574.1Channelfading584.2Variablelinkdistances(VLD)724.3Mu
