PDF-IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.52,NO.6,JUNE2006RandomizedGoss

Author : alida-meadow | Published Date : 2015-07-30

Fig1SensornodesdeployedtomeasureambienttemperaturesensornetworksthecomputationalpowerandenergyresourcesmaybeverylimitedTheseconstraintsmotivatethedesignofsimpledecentralizedalgorithmsforcomputati

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IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.52,NO.6,JUNE2006RandomizedGoss: Transcript

Fig1SensornodesdeployedtomeasureambienttemperaturesensornetworksthecomputationalpowerandenergyresourcesmaybeverylimitedTheseconstraintsmotivatethedesignofsimpledecentralizedalgorithmsforcomputati. withthefollowingstructuralproperties:1)eachrowconsistsof “ones”;2)eachcolumnconsistsof “ones”;3)thenumberof“ones”incommonbetweenanytwocolumns, ,isnogreaterthan ;4)both an -qubitquantumstatecouldbecommunicatedtoareceiverbyphysicallytransmittingonly + ( qubitsinadditiontoconsuming ebitsofentanglementandsomesharedrandomness.Whenthestatestobepreparedareentangled,we (thetotalnumberofusers)andlength .Wepresentbinaryfingerprintingcodessecureagainstsize- tionswhichenablethedistributor(decoder)torecoveratleastoneoftheusersfromthecoalitionwithprobabilityoferrorexp( fo ,oneoffsetfromtheotherbyhalfastepsize.Thefirstquantizerindexissentonthefirstchannelandthesecondquantizerindexissentonthesecondchannel.Ifbothchannelswork,thedecoder whereasifonlyasinglechannelworks,the concatenatedzigzagcodewithfourconstituentencoderswithinterleaverlength65536,yieldsabiterrorrate(BER)of at0.9dBand1.4dBawayfromtheShannonlimitbyoptimal(APP)andlow-costsuboptimal(MLA)decoders,respective single-antennareceiversand antennasatthetransmitteriscon-sidered.Bothtransmitterandreceivershaveperfectknowledgeofthechannel.Despiteitsapparentsimplicity,thismodelis,ingeneral,anondegradedbroadcastcha Fig.1.Sensornodesdeployedtomeasureambienttemperature.sensornetworks,thecomputationalpowerandenergyresourcesmaybeverylimited.Theseconstraintsmotivatethedesignofsimpledecentralizedalgorithmsforcomputati right-handsideof(44) jDj (p2)n+p2 l rrArrr(p) r h(l) )=(+1) s=0rss(p+1) =1 jDj (p2)n+p2 l=0 rrrArrr(p)n =1 1)(andtheassertionofthelemmafollows. [1]A.AshikhminandS.Litsyn,“Upperboundsofthesi Foranyoddprime,similarconditionssuchthat-arybentweregivenin[7],[12],andsomeresultswere 2i=1cix1+2iZ2 etal.:NEWCONSTRUCTIONSOFQUADRATICBENTFUNCTIONSINPOLYNOMIALFORM5761Further,byvirtueofthelinksbetw -regularLDPCcode,forexample,thecomplexityofencodingisessentiallyquadraticintheblocklength.However,we 100000isstillquitepractical.Moreimportantly,wewillshowthat“optimized”codesactuallyadmitli TROPPetal.:DESIGNINGSTRUCTUREDTIGHTFRAMESVIAANALTERNATINGPROJECTIONMETHOD189Notethatthereisamajorconceptualdifferencebetweentheuseofnitemodelsinthenumericalcalculationofinmensionalframesandthedesignof GAFAGeometricAndFunctionalAnalysisISOPERIMETRYOFWAISTSANDCONCENTRATIONOFMAPSM.Gromov1WaistoftheSphereTheoremLetbeacontinuousmapwhereistheunit Vol()).Then( Vol.13,2003ISOPERIMETRYOFWAISTSANDCONCENTRATI ,user ndsthetwocodewordscorrespondingtocomponents andalsouniformlychoosesacodeword from .User thenaddsallthesecodewordsandtransmitstheresultingcodeword ,sothatitactuallytransmitsoneof codewords.Let No IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.48,NO.6,JUNE2002formabasisforscheduling.Thechanneltrackingisdoneviaasinglepilotsignalwhichisrepeatedatthedifferenttransmitantennas,justlikethedata.Ifthemagnitud

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