美赛论文模板.doc

美赛论文模板.doc

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1、TeamControlNumberForofficeuseonly0000ForofficeuseonlyT1F1T2F2T3ProblemChosenF3T4AF42014MathematicalContestinModeling(MCM)SummarySheet(Attachacopyofthispagetoeachcopyofyoursolutionpaper.)RepeatersCoordinationAndDistributionFebruary6,2015AbstractInthispa

2、per,itaimstocomputingproblemonRelayStrategy(repeaterscoordinationanddistribution).Accordingtoadvancedradiocellularcoveragetechnology,usageoffrequencyattenuationandgeometricmappingmethods,Hatamodel,cellularcoveragesolutionandFDM(FrequencyDivisionMultipl

3、exing)modelwereestablished.ThealgorithmsusedMATLABtosimulate,withthefinalmodelingresultsofsensitivityanalysisandimprovement&promotiononmodels.Questionone:Foracircularflatareaofradius40milesradius,determinetheminimumnumberofrepeatersnecessarytoaccommoda

4、te1,000simultaneoususers.Assumethatthespectrumavailableis145to148MHz,thetransmitterfrequencyinarepeateriseither600kHzaboveor600kHzbelowthereceiverfrequency,andthereare54differentPLtonesavailable.Answer:1.BasedonFrequencyattenuationexpressionandcalculat

5、ionwithMATLAB,itfiguredouttheeligiblecoverageradiuses,whichare30kmforBS(basestation),and14.9kmforrepeater.2.Assumingtheusersinagivenareaunderuniformdistribution,usingadvancedcellularcoveragesolution,wecancalculatethatminimumnumberofrequiredrepeateris36

6、undercellularfeatures.3.BasedontheUSVHFspectrumallocationstandard,theminimumspacingforadjacentchannelsis30kHz.Andwithupto54differentPLtones,maximum4320channelscanbeallocatedtoprovide1000simultaneoususerstouseatthesametime.Conclusion:Theminimumnumberofr

7、epeatersnecessarytoaccommodate1,000simultaneoususersis36.QuestionTwo:Howdoesyoursolutionchangeifthereare10,000users?Answer:1.Sincethegivenspectrumisinafixedrange,evenif54differentPLtonescannotbeallocatedenoughchannelsfor10,000simultaneoususers.Sothenum

8、berofrepeaterswillbeincreased,meanwhile,thegivenareawillbedividedintodifferentparts.2.Ontheassumptionthatuniformdistributionofthepopulationinthegivenarea,itwillbedividedinto3sub-regionsequallybyanalyzingthebindingdomain,frequencyspectru

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