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1、IEEEJOURNALONSELECTEDAREASINCOMMUNICATIONS,VOL.25,NO.6,AUGUST20071069AGame-TheoreticApproachtoEnergy-EfficientModulationinCDMANetworkswithDelayQoSConstraintsFarhadMeshkati,Member,IEEE,AndreaJ.Goldsmith,Fellow,IEEE,H.VincentPoor,Fellow,IEEE,andStuartC.Schwartz,LifeFellow,IEEEAbstractAgame-theoreti
2、cframeworkisusedtostudythetheimpactofthemodulationorderonenergyefficiencyhaseffectofconstellationsizeontheenergyefficiencyofwirelessnotbeenstudiedtothesameextent.Recently,theauthorsnetworksforM-QAMmodulation.Anon-cooperativegameisof[5]havestudiedmodulationoptimizationforanenergy-proposedinwhicheac
3、huserseekstochooseitstransmitpowerconstrainedtime-division-multiple-access(TDMA)network.(andpossiblytransmitsymbolrate)aswellastheconstellationsizeinordertomaximizeitsownutilitywhilesatisfyingitsForsuchanetwork,theyhaveusedaconvex-optimizationdelayquality-of-service(QoS)constraint.Theutilityfunc
4、tionapproachtoobtainthebestmodulationstrategythatminimizesusedheremeasuresthenumberofreliablebitstransmittedthetotalenergyconsumptionunderthroughputanddelayperjouleofenergyconsumed,andisparticularlysuitableforconstraints.energy-constrainednetworks.Thebest-responsestrategiesandNashequilibriumsolu
5、tionfortheproposedgamearederived.Game-theoreticapproachestopowercontrolhaverecentlyItisshownthatinordertomaximizeitsutility(inbitsperattractedconsiderableattention(see,forexample,[6]–[16]).Injoule),ausermustchoosethelowestconstellationsizethat[6],theauthorsprovidemotivationsforusinggametheorytoc
6、anaccommodatetheusersdelayconstraint.Thisstrategyisstudycommunicationsystems,andinparticularpowercontrol.differentfromonethatwouldmaximizespectralefficiency.Usingthisframework,thetradeoffsamongenergyefficiency,delay,In[7],powercontrolismodeledasanon-cooperativegameinthroughputandconstellationsizea
7、realsostudiedandquantified.whichuserschoosetheirtransmitpowersinordertomaximizeInaddition,theeffectoftrellis-codedmodulationonenergytheirutilities,whereutilityisdefinedastheratioofthroughputefficiencyisdiscussed.totransmitpower
