PDF-IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.54,NO.12,DECEMBER2008GaussianI

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Fig1TwouserGaussianinterferencechannelbasicinformationtheorymodeltostudythisquestionisthetwouserGaussianinterferencechannelwheretwopointtopoint Authorized licensed

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IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.54,NO.12,DECEMBER2008GaussianI: Transcript

Fig1TwouserGaussianinterferencechannelbasicinformationtheorymodeltostudythisquestionisthetwouserGaussianinterferencechannelwheretwopointtopoint Authorized licensed use limited to HewlettPack. withthefollowingstructuralproperties:1)eachrowconsistsof “ones”;2)eachcolumnconsistsof “ones”;3)thenumberof“ones”incommonbetweenanytwocolumns, ,isnogreaterthan ;4)both an Fig.1.Sensornodesdeployedtomeasureambienttemperature.sensornetworks,thecomputationalpowerandenergyresourcesmaybeverylimited.Theseconstraintsmotivatethedesignofsimpledecentralizedalgorithmsforcomputati loglog log(5)istheshiftoperator,(,foreach.Theactionofonthefunctionisgivenby):=denotesshift-invariantprobabilitymeasures.Forwede -qubitquantumstatecouldbecommunicatedtoareceiverbyphysicallytransmittingonly + ( qubitsinadditiontoconsuming ebitsofentanglementandsomesharedrandomness.Whenthestatestobepreparedareentangled,we D.N.Ku,S.Glagov,J.E.MoorewPAbdominalAortaExperimencularSur,Vol.9,No.2,pp.309-315(1989).(1989).M.Lei,C.KleinstreuerandJ.P.Archie,\Hemo-dynamicSimulationsand,Vol.119,pp.343-348(1997).(1997).D.P.Giddens, single-antennareceiversand antennasatthetransmitteriscon-sidered.Bothtransmitterandreceivershaveperfectknowledgeofthechannel.Despiteitsapparentsimplicity,thismodelis,ingeneral,anondegradedbroadcastcha repeat Foranyoddprime,similarconditionssuchthat-arybentweregivenin[7],[12],andsomeresultswere 2i=1cix1+2iZ2 etal.:NEWCONSTRUCTIONSOFQUADRATICBENTFUNCTIONSINPOLYNOMIALFORM5761Further,byvirtueofthelinksbetw =min( transmitantennas,where isthenumberofreceiveantennasand isthelengthofthecoherenceinterval,whereasatlowSNR,themutualinformationismaximizedbyallocatingalltransmitpowertoasingleantenna.IndexTerms (1)where isaknownmatrixwithunit-normcolumns, asparsecoef ,atail-bitingtrellisthatminimizestheofstate-spacesizesamongallpos-siblelineartail-bitingtrellises.Wealsoprovethateverylineartail-bitingtrellisfor arisesfromacertain character-isticmatrix,andshowhowtoc GAFAGeometricAndFunctionalAnalysisISOPERIMETRYOFWAISTSANDCONCENTRATIONOFMAPSM.Gromov1WaistoftheSphereTheoremLetbeacontinuousmapwhereistheunit Vol()).Then( Vol.13,2003ISOPERIMETRYOFWAISTSANDCONCENTRATI IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.48,NO.6,JUNE2002formabasisforscheduling.Thechanneltrackingisdoneviaasinglepilotsignalwhichisrepeatedatthedifferenttransmitantennas,justlikethedata.Ifthemagnitud Vol.6(2009)1{33ISSN:1549-5787DOI: 10.1214/08-PS141 Asurveyofresultsfordeletionchannelsandrelatedsynchronizationchannels MichaelMitzenmacher y HarvardUniversity,SchoolofEngineeringandAppliedSciencese

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