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1、362IEEEJOURNALONSELECTEDAREASINCOMMUNICATIONS,VOL.34,NO.2,FEBRUARY2016PerformanceAnalysisofBlockMarkovSuperpositionTransmissionofShortCodesKechaoHuang,StudentMember,IEEE,andXiaoMa,Member,IEEEAbstract—Inthispaper,weconsidertheasymptoticandsymmetric-out
2、putchannelsunderBPdecoding,andthustofinite-lengthperformanceofblockMarkovsuperpositiontrans-achievecapacitybyincreasingthedensityoftheparity-checkmission(BMST)ofshortcodes,whichcanbeviewedasanewmatrix.Duetotheirexcellentperformance,SC-LDPCcodesclassofs
3、patiallycoupled(SC)codeswherethegeneratormatriceshavereceivedagreatdealofattentionintheliterature(see,ofshortcodes(referredtoasbasiccodes)arecoupled.Amodi-fiedextrinsicinformationtransfer(EXIT)chartanalysisthattakese.g.,[7][16]andthereferencestherein).
4、Recently,ithasbeenintoaccounttherelationbetweenmutualinformation(MI)andprovedin[17]thatsuchathresholdsaturationphenomenonbit-error-rate(BER)ispresentedtostudytheconvergencebehav-alsoexistsforSClow-densitygenerator-matrix(SC-LDGM)iorofBMSTcodes.Usingth
5、emodifiedEXITchartanalysis,codes,whichcanfindapplicationsinsourcecoding[18].weinvestigatetheimpactofvariousparametersonBMSTcodeTheconceptofspatialcouplingisnotlimitedtoperformance,therebyprovidingtheoreticalguidancefordesign-ingandimplementingpracticalB
6、MSTcodessuitableforwindowLDPC/LDGMcodes.BlockMarkovsuperpositiontransmis-decoding.Then,wepresentaperformancecomparisonofBMSTsion(BMST)ofshortcodes[19],[20],forexample,isequiv-codesandSClow-densityparity-check(SC-LDPC)codesonthealenttospatialcouplingof
7、thesubgraphsthatspecifythebasisofequaldecodinglatency.Alsopresentedisacompari-shortcodes.Fromthisperspective,BMSTcodesaresimilarsonofcomputationalcomplexity.Simulationresultsshowthat,tobraidedblock/convolutionalcodes[21][23],staircasecodesundertheequa
8、ldecodinglatencyconstraint,BMSTcodesusingtherepetitioncodeasthebasiccodecanoutperformboth(3,6)-[24],andSCturbocodes[25].AnencoderofaBMSTcoderegularSC-LDPCcodesand(4,8)-regularSC-LDPCcodesinthewithencodingmemorymisshowninFig.1,whereaBMSTwaterfa
