PDF-IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.47,NO.4,MAY2001DecentralizedQu

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X Thisinformationstructureissaidtobe1415andasexplainedin13appearstobetheonlyinformationstructurethatleadstoatractabledetectionproblemHoweveritispossibletofindaminimaxsolutionunderrestrictio

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IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.47,NO.4,MAY2001DecentralizedQu: Transcript

X Thisinformationstructureissaidtobe1415andasexplainedin13appearstobetheonlyinformationstructurethatleadstoatractabledetectionproblemHoweveritispossibletofindaminimaxsolutionunderrestrictio. loglog log(5)istheshiftoperator,(,foreach.Theactionofonthefunctionisgivenby):=denotesshift-invariantprobabilitymeasures.Forwede ,oneoffsetfromtheotherbyhalfastepsize.Thefirstquantizerindexissentonthefirstchannelandthesecondquantizerindexissentonthesecondchannel.Ifbothchannelswork,thedecoder whereasifonlyasinglechannelworks,the repeat VOL. XXXIV—NO. 2 2013 VOL. XXXIV—NO. 2 2013 VOL. XXXIV—NO. 2 2013 VOL. XXXIV—NO. 2 2013 LETTERS CONSCIENCE VOL. XXXIV—NO. 2 2013 LETTERS CONSCIENCE VOL. XXXIV—NO. 2 ;inthissimplesetuptheTCis (1)where isthexeddistancebetweeneachtransmitterreceiverpairand isthepath-lossexponent.Notethat unitsofexpectednumberofsuccessfultransmissionsperunitRelationshiptoTransportCap 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 -regularLDPCcode,forexample,thecomplexityofencodingisessentiallyquadraticintheblocklength.However,we 100000isstillquitepractical.Moreimportantly,wewillshowthat“optimized”codesactuallyadmitli TROPPetal.:DESIGNINGSTRUCTUREDTIGHTFRAMESVIAANALTERNATINGPROJECTIONMETHOD189Notethatthereisamajorconceptualdifferencebetweentheuseofnitemodelsinthenumericalcalculationofinmensionalframesandthedesignof Fig.1.Two-userGaussianinterferencechannel.basicinformationtheorymodeltostudythisquestionisthetwo-userGaussianinterferencechannel,wheretwopoint-to-point Authorized licensed use limited to: Hewlett-Pack =min( transmitantennas,where isthenumberofreceiveantennasand isthelengthofthecoherenceinterval,whereasatlowSNR,themutualinformationismaximizedbyallocatingalltransmitpowertoasingleantenna.IndexTerms (1)where isaknownmatrixwithunit-normcolumns, asparsecoef IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.48,NO.6,JUNE2002formabasisforscheduling.Thechanneltrackingisdoneviaasinglepilotsignalwhichisrepeatedatthedifferenttransmitantennas,justlikethedata.Ifthemagnitud InterestsIambroadlyinterestedinTheoreticalComputerScienceandspeci28callyinCodingTheoryPseudo-randomnessComplexityTheoryandAdditiveCombinatoricsWork2018-2020PostdoctoralResearcherTheorygroupMicrosoftRe Vol.6(2009)1{33ISSN:1549-5787DOI: 10.1214/08-PS141 Asurveyofresultsfordeletionchannelsandrelatedsynchronizationchannels MichaelMitzenmacher y HarvardUniversity,SchoolofEngineeringandAppliedSciencese

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