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泊松干扰域双跳中继信道误中断概率分析(英文).docx

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泊松干扰域双跳中继信道误中断概率分析(英文) PoissonDouble-DiffusionRelayChannelwithInterruptionProbabilityAnalysis Introduction Relaychannelsarewidelyusedinwirelesscommunicationsystemstoincreasecoveragearea,improvesignalstrength,andreducetheimpactoffading.Insomescenarios,likemilitaryandrescueoperations,highreliabilityanduninterruptedsignaltransmissionisamust.Thus,understandingtheprobabilityofinterruptioninthesesituationsiscritical.ThispaperanalyzestheinterruptionprobabilityofaPoissondouble-diffusionrelaychannel(PDRC)underthepresenceofPoissoninterference. SystemModel ThesystemconsistsofasourcenodeS,arelaynodeR,andadestinationnodeD.Thenodesarerandomlydistributedinatwo-dimensionalplanewithaPoissonpointprocess,wherethedensityofeachpointisλ.SsendsamessagetoDviaR,whichamplifiesandforwardsthesignal.Inthisscenario,interferencecanoccurduetosimilartransmissionsfromothernearbynodes. Tomodelinterference,thenodesapartfromSandDaretreatedasinterferernodes(INs)withdensitiesλi,andthechannelsbetweenS,R,andDtotheseINsundergoRayleighfadingwithconstantgain.Thus,thechannelgainbetweenSandRish1,andbetweenRandDish2.ThechannelgainbetweenSandINsisgi1,andbetweenDandINsisgi2.TheinterferenceismodeledasaPoissonprocesswithanintensityofλIperunitarea. Analysis Thesignal-to-noiseratio(SNR)atthedestinationnodeisgivenby: ρi=αPih2ˆγii/(nλI+αPih2ˆγi1+αPiher2h2ˆγi2) whereαisthepath-lossexponent,PiisthetransmissionpowerofS,nisthepowerspectraldensityofthenoise,γijdenotesthefadingparametersbetweennodesiandj,anderistheamountofpowerlossduringsignalrelaying. TheoutageprobabilityoftherelaychannelisdefinedastheprobabilitythattheSNRatthedestinationisbelowagiventhresholdρ0.Thisisgivenby: Pout=Pr(ρi<ρ0)=E[Pr(ρi<ρ0|Ii)]≈∑∞m=0Pm/λmPm wherePmistheprobabilityofminterferersandIiisthesetofinterferersaffectingthei-thtransmission.TheapproximationisbasedontheassumptionthateachINisindependentlydistributed. ThereceivedSNRatthedestinationnodecanbemodeledasamixtureofaGaussianandagammadistribution.ThenoisetermfollowsaGaussiandistribution,whereasthesi