Performanceconference Juan les Pins France October3
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Stochasticgeometryandcommunication networks BartekB?aszczyszyn tutoriallecture Performanceconference Juan-les-Pins,France,October3-7,2005 INRIA-ENS OUTLINE IPanoramaofsomestochastic-geometrymodelsinaction, IIBasicgeometricmodels, IIISignal-to-Interference-and-Noiseratio(SINR)coveragemodel, IVModelingad-hocnetworks, VPowercontrolinCDMA:from statictodynamicmodeling — aspatialErlang formula. Stochasticgeometryandcommunicationnetworks, B .B?aszczyszyn; tutoriallecture ,Performance'05,Juan-les-Pins,France ,October3-7,2005 2 IPANORAMA •ThemathematicalprincipleoftheVoronoitessellationiswidelyusedasasimple idealizationofmanycomplex “real”partitionsoftheplane( cellsincellular communication ,Gupta&Kumarprotocolmodelofad-hocnetworks;ittakesinto accountonlylocationsofantennasandignoresallotherphysicalaspectsofthe communicationtechnologyasa.g.additiveinterference) •ThedualDelaunaygraphcanbeusedasa “protocolmodel”ofneighbuorhoodin networks ? topologyforrouting Stochasticgeometryandcommunicationnetworks, B .B?aszczyszyn; tutoriallecture ,Performance'05,Juan-les-Pins,France ,October3-7,2005 3 PANORAMA... •Booleanmodelisafirstmodelofcoverageofwirelessnetwork(itdoesnottake intoaccountinterference).Astheunderlyingmodelforthestudyofcontinuum percolationitcanbeusedtoaddressthequestionsofconnectivityofad-hoc networksintheabsenceofinterference . •Mathematicalrepresentationofinterferencesbasedon(Poisson)shotnoise processes? avarietyofresultsoncoverage ,connectivityandcapacityoflarge interference-limitednetworks . Stochasticgeometryandcommunicationnetworks, B .B?aszczyszyn; tutoriallecture ,Performance'05,Juan-les-Pins,France ,October3-7,2005 4
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- networks ?
- percolationitcanbeusedtoaddressthequestionsofconnectivityofad-hoc networksintheabsenceofinterference
- outline ipanoramaofsomestochastic-geometrymodelsinaction
- statictodynamicmodeling —
- ci istheregionwherethesinrfromxi
- shot-noise
- hocnetworks
- edgesofthe delaunaygraphconnectnu- cleioftheadjacentcells
- random variable
