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一种基于PPM的LDPC编译码方案
Title:AnImprovedPPM-basedLDPCCompilationDecodingScheme
Abstract:
Low-DensityParity-Check(LDPC)codeshavebeenwidelyusedinvariouscommunicationsystemsduetotheiradvantageouserrorcorrectioncapabilities.ThispaperpresentsanimprovedLDPCdecodingschemebasedonPulsePositionModulation(PPM).TheproposedschemeaimstoenhancethedecodingperformanceofLDPCcodeswhilemaintainingalowcomputationalcomplexity.TheperformanceevaluationandanalysisshowthatthePPM-basedLDPCdecodingschemeachievessuperiorerrorcorrectionperformancecomparedtotraditionalLDPCdecodingmethods.
1.Introduction
LDPCcodesareaclassoflinearblockcodesthatofferexcellenterrorcorrectionperformance,makingthemidealforvariouscommunicationsystems.However,thedecodingcomplexityisacrucialchallengeinpracticalimplementations.ThispaperproposesanovelLDPCdecodingschemebasedonPPM,whichreducesthecomputationalcomplexitywhilemaintainingexcellentdecodingperformance.
2.Background
2.1LDPCCodes
LDPCcodesarecharacterizedbyasparseparity-checkmatrix,whichleadstoefficientdecodingalgorithms.Thedecodingprocessaimstoiteratebetweenestimatingthemostlikelytransmittedcodewordandupdatingthebeliefvaluesuntilconvergenceisachieved.
2.2PulsePositionModulation(PPM)
PPMisamodulationtechniquethatencodesdatabyvaryingthepositionofpulsesrelativetoareferencetimeslot.PPMoffersseveraladvantages,includingresistancetomultipathfading,improvedspectralefficiency,andlowcomplexity.
3.ProposedPPM-basedLDPCDecodingScheme
3.1PPMEncoding
Intheproposedscheme,LDPCcodesaremodulatedusingPPM.Theinformationbitsaremappedtopulsepositionsineachcodeword.ByadaptingthepulsepositionaccordingtotheencodedLDPCbit,theproposedschemeenhancesthedecodingperformancebyexploitingtheinherentstructureofLDPCcodes.
3.2ModifiedBeliefPropagationAlgorithm
ThebeliefpropagationalgorithmismodifiedtoenableefficientdecodinginthePPM-basedLDPCdecodingscheme.TheupdaterulesareadaptedtoaccountforthePPMmodulationandthespecificcharacteristicsoftheLDPCcodes.
4.ErrorCorrectionPerformanceEvaluation
Extensivesimulatio