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1、CoverageProbabilityAnalysisforWirelessNetworksUsingRepulsivePointProcessesAbdelrahmanM.Ibrahim,TamerElBatt2,AmrEl-KeyiWirelessIntelligentNetworksCenter(WINC),NileUniversity,Giza,Egypt.Email:abdelrahman.ibrahim@nileu.edu.eg,ftelbatt,aelkeyig@nileuniversity.edu.egAbstract—T
2、herecentwitnessedevolutionofcellularnetworksTherecentwitnessedevolutionofcellularnetworksfromfromacarefullyplanneddeploymenttomoreirregular,acarefullyplanneddeploymenttomoreirregular,heteroge-heterogeneousdeploymentsofMacro,PicoandFemto-BSsneousdeploymentsofMacro,PicoandF
3、emto-BSsrendersthemotivatesnewanalysisanddesignapproaches.Inthispaper,wehexagonalandregulardeploymentmodelsoflimitedutility.analyzethecoverageprobabilityincellularnetworksassumingrepulsivepointprocessesforthebasestationdeployment.This,inturn,motivatesrecentstudies,toolsan
4、dresults[3]Inparticular,wecharacterize,analyticallyusingstochastic[4][5]inspiredbystochasticgeometry.Aprominentapproachgeometry,thedownlinkprobabilityofcoverageunderaMaternistouserandomspatialmodelsfromstochasticgeometry[6]hardcorepointprocesstoensureminimumdistancebetwee
5、n[7]tocapturetherealdeploymentasaccuratelyaspossible.therandomlylocatedbasestations.AssumingamobileuserStochasticgeometryallowsustostudytheaveragebehaviorconnectstothenearestbasestationandRayleighfading,wederivetwolowerboundsexpressionsonthedownlinkovermanyspatialrealizat
6、ionsofanetworkwherethenodesprobabilityofcoveragethatiswithin4%fromthesimulatedlocationsarederivedfromapointprocess(PP)[3][5][8].scenario.Tovalidateourmodel,wecomparetheprobabilityMostofthestochasticgeometryworkoncellularnetworksofcoverageoftheMaternhardcoretopologyagainst
7、anactualfocusonthecasewheretheBSdeploymentfollowsaPoissonbasestationdeploymentobtainedfromapublicdatabase.Thepointprocess(PPP).In[9],thepointsderivedfromaPPPcomparisonshowsthattheactualbasestationdeploymentcanbefittedbysettingtheappropriateMaternpointprocessdensity.areinde
8、pendentwhichsignificantlysimplifiestheanalysis.However,thisisfarfromrealitysincetheBSslocationsinI
