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基于匹配追踪(MP)算法的信号自适应分解研究及其应用 Abstract(摘要) Signaladaptivedecompositionbasedonmatchingpursuit(MP)algorithmisanimportantmethodforsignalanalysisandprocessing.Inthispaper,thebasicprincipleofMPalgorithmisintroduced,followedbytheresearchprogressofsignaladaptivedecompositionbasedonMPalgorithm.Then,theapplicationofMPalgorithminsolvingpracticalproblemsissummarized,andtheadvantagesandlimitationsofMPalgorithmareanalyzed.Finally,thefuturedevelopmentdirectionofMPalgorithmisproposed. Introduction(引言) Withtherapiddevelopmentofinformationtechnology,variouskindsofsignalshavebecomeanimportantcarrierofinformationtransmission.Signalanalysisandprocessinghavebeenwidelyusedinmanyfields,suchascommunication,control,medicaldiagnosis,andsoon.Signaladaptivedecompositionbasedonmatchingpursuit(MP)algorithmisoneofthekeymethodsforsignalanalysisandprocessing,andithasshowngreatpotentialinmanyapplications. MPalgorithmisakindofgreedyalgorithm,whichdecomposesthesignalintoapredeterminedorthogonalbasisandusesaseriesofadaptivecriteriatoselectthebasisfunctionsthatbestmatchthesignal.ComparedwithtraditionalsignaldecompositionmethodssuchasFouriertransform,wavelettransform,andempiricalmodedecomposition(EMD),MPalgorithmismoresuitableforanalyzingnon-stationaryandnon-linearsignals. ResearchProgress(研究进展) Inrecentyears,alotofresearcheshavebeendoneonsignaladaptivedecompositionbasedonMPalgorithm.Firstly,thebasicprincipleofMPalgorithmwasintroduced.Next,variousimprovedMPalgorithmswereproposed,suchasorthogonalmatchingpursuit(OMP),regularizedorthogonalmatchingpursuit(ROMP),andsoon,whichimprovedtheconvergencerateandaccuracyofMPalgorithm. Secondly,MPalgorithmhasbeenwidelyappliedinmanyfields,suchasradarsignalprocessing,biomedicalsignalanalysis,speechrecognition,andsoon.Forexample,inthefieldofbiomedicalsignalanalysis,MPalgorithmhasbeenusedtoextractfetalelectrocardiogram(ECG)signalsfromabdominalcompositesignals,whichcanprovideimportantguidanceforprenataldiagnosisandtreatment. AdvantagesandLimitations(优缺点) MPalgorithmhasseverala