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1、WaveletandTime-DomainModelingofMulti-LayerVBRVideoTrafficMinDaiDmitriLoguinov¤DepartmentofElectricalEngineeringDepartmentofComputerScienceTexasA&MUniversityTexasA&MUniversityCollegeStation,TX77843CollegeStation,TX77843min@ee.tamu.edudmitri@cs.tamu.eduAbstract—Mod
2、elingofvideotraffichasalwaysbeenanimpor-dependenciesbetweenframesizesinVBRtraffic.Inregardtantresearchareaforthedesign,simulation,andperformancetothefirstissue,severalmodelshavebeenproposedfortheanalysisofpacketvideonetworksandInternetstreaming.Inthisframe-sizedist
3、ribution,includingthelognormal[7],Gammapaper,wepresentaframe-levelhybridframeworkformodeling[25],andvarioushybriddistributions(e.g.,Gamma/Pareto[15]multi-layerVBRvideotraffic,inwhichthebaselayerismodeledusingacombinationofwaveletandtime-domainmethodsandorGamma/lo
4、gnormal[23]).Comparedtothetaskoffittingtheenhancementlayerislinearlypredictedfromthebased-amodeltotheframe-sizedistribution,capturingtheACFlayermodel.Toaccuratelycapturelong-rangedependent(LRD)structureofVBRvideotrafficismorechallengingduetotheandshort-rangedepend
5、ent(SRD)propertiesofVBRbase-layerfactthatVBRvideoexhibitsbothLRDandSRDpropertiestraffic,weusewaveletstomodelthedistributionofI-frame[9],[16].Theco-existenceofSRDandLRDindicatesthatsizesandasimpletime-domainmodelforP/Bframesizes;however,unlikepreviousstudies,weana
6、lyzeandsuccessfullytheACFstructureofvideotrafficissimilartothatofSRDmodelbothinter-GOPandintra-GOPcorrelationfoundinmanyprocessesatsmalltimelagsandtothatofLRDprocessesatVBRsequences.ThroughtheuseofQQplotsandleaky-bucketlargetimelags[9].SincebothLRDandSRDareembedd
7、edinsimulations,wedemonstratethatourmodelnotonlyeffectivelythesignal,usingeitheralong-rangedependentorashort-rangepreservesthetemporalburstinessoftheoriginaltraffic,butalsodependentmodelalonedoesnotprovidesatisfactoryresults.capturesimportantstatisticalfeaturesof
8、theoriginalvideosuchastheautocorrelationfunctionandtheframe-sizedistribution.Thus,manystudiesareconductedtoaddressthisproblem,Wealsoshowthatourmodelperformsbetterthan