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1、1250IEEETRANSACTIONSONINFORMATIONTHEORY,VOL.48,NO.6,JUNE2002NestedLinear/LatticeCodesforStructuredMultiterminalBinningRamZamir,SeniorMember,IEEE,ShlomoShamai(Shitz),Fellow,IEEE,andUriErez,AssociateMember,IEEEInvitedPaperDedicatedtothememoryofAaronWyner,withdeeprespectandadmi
2、ration.Abstract—Networkinformationtheorypromiseshighgainsmultiple-accesschannel,thebroadcastchannel,multiterminaloversimplepoint-to-pointcommunicationtechniques,atthecostcodingofcorrelatedsources,theinterferencechannel,andofhighercomplexity.However,lackofstructuredcodingsche
3、mescodingwithsideinformation.See[90],[3],[24],[21]forlimitedthepracticalapplicationoftheseconceptssofar.Onetutorials.Untilnow,however,mostofthesesolutionshaveofthebasicelementsofanetworkcodeisthebinningscheme.Wynerandotherresearchersproposedvariousformsofcosetremainedattheth
4、eoreticallevel,withtheexceptionof,perhaps,codesforefficientbinning,yettheseschemeswereapplicablethemultiple-accesschannelforwhichtheoryandpracticemeetonlyforlosslesssource(ornoiselesschannel)networkcoding.quitecloselyincellularcommunication.Thus,communicationToextendthealgeb
5、raicbinningapproachtolossysource(orsystemsignoremuchoftheusefulinformationavailableaboutnoisychannel)networkcoding,recentworkproposedtheideaofthetopologyandthestatisticaldependencebetweensignalsinnestedcodes,ormorespecifically,nestedparity-checkcodesforthebinarycaseandnested
6、latticesinthecontinuouscase.Thesethenetwork.ideasconnectnetworkinformationtheorywiththerichareasOneofthekeyelementsinthesolutionsofinformationnet-oflinearcodesandlatticecodes,andhavestrongpotentialforworkproblemsistheideaof“binning”[21].Abinningschemepracticalapplications.We
7、reviewtheserecentdevelopmentsanddividesasetofcodewordsintosubsets(“bins”),suchthattheexploretheirtightrelationtoconceptssuchascombinedshapingcodewordsineachsubsetareasfarapartaspossible.Asusualandprecoding,codingformemorieswithdefects,anddigitalwatermarking.Wealsoproposeafew
8、novelapplicationsadheringinthe“direct”codingtheoremsininformationtheory,the
