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有关电信方面的论文
TheKalmanfilterbasedresearchofT-wavealternansdetectionalgorithm
Abstract:
Asthesecondlargestcauseofdeathinhumanbeingsonlybehindcancer,suddencardiacdeath(SCD-SuddenCardiacDeath)isfeaturedassuddenonsetanddifficulttorescue.Therefore,forthesepatients,earlydiagnosis,earlyinterventionisthemosteffectivetreatment.TWA(Twavealternans)asthedetectionofSCD-likeillnessisanimportantindicatorofhow(non-invasive)toobtainaccuratedatainaTWAresearchwhichisfocusedoninrecentyearsintheindustry.
ThispaperpresentsamodifiedKalmanfilter-based(non-steadystate)TWAdetectionalgorithm:
Firstofall,preprocessing,filteringnoiseandbaselinedriftofECG;methodusingwavelettransformmodulusextremumofQRSandTwaves,seevehiclefeatureslocationofthepoint;furtheralignmentandextractstheTwaveTwavematrix;accordingtothestrategy(inaccordancewiththeoddandeven)ontheTwavematrixre-grouping;KalmanfilterwereusedontwogroupsofTwavematrix;calculatethedifferencebetweentwogroupsofTwavematrix,thenthevectormodulusmaximatoidentifythevectorthroughvectormaximamodules,andmakesthemeanvectorasthetestingstandards.Throughsimulationresults,thisalgorithmforthecorrelationcoefficientofTWAdetectionvaluesandrealvaluesreaches97%,andnotonlycanittesttherateofTwavealternans,butalsocanidentifyshort-termTwavealternans.
[keyword]:
TWAKalmanextremumofwavelettransformmodulus
SuddenCardiacDeath
[Introduction]:
Suddencardiacdeath(SCD-SuddenCardiacDeath)isadeathcausedbyheartattack.Accordingtotheagency'sstatistics,suddencardiacdeathhasbecomethesecondlargestcauseofdeathaftercancer.Thereareabout45.000casesinUnitedStates,andover1.8millioncasesperyearinChinaAdditionally,theincreasinglyseriousenvironmentalpollution,thepressurecontinuedtoincrease,thisfigureisconstantlyincreasingbecauseoftheincreasinglyseriousenvironmentalpollutionandthecontinuedpressure.Astheincidencesuddencardiacdeathhavethecharacterofsuddenonsetanddifficulttorescueoncethediseasehappens,thereislittletimeleftformedicinepersonnel,thusthesurvivalrateisverylow.Therefore,themaintreatmentforsuddencardiacdeathistheearlypredictionandintervention-based.Clinically,therearetwomaintreatmentsforthepotentialriskforpeoplewithSCD:
invasiveandnon-invasivemethod.Invasivemethodistousetheinstigationofelectrophysiologicalmethods(Electrophysiology,EP)todetectthesizeofSCDoccurrence,wherebytheuseofdrugsanddefibrillatorsfortreatment.Non-invasiveisamethod,whichincludesQTdispersion,averagedelectrocardiogramandotherpredictionmethods.Invasivemethod,hasdamageonthehumanbodytosomeextent,highcost,whileECGQTdispersionandtheaccuracyoftheaverageforecastisnothigh.ThespecificphenomenonofTWA(TWaveAltenate)Twavealternantis:
repeatedappearanceofTwavemorphologyandamplitude.Alargenumberofclinicalstudiesfoundthat:
thesumofmalignantarrhythmiaSCDTWAoftenoccurredsimultaneously.Therefore,Twavealternanshasbecamearesearchhotspotforitsnon-invasive,themostvaluableandefficientpredictionofelectrophysiologicalindicatorsofSCD.
Currently,therearetwomainclassificationsaboutTWAdetectionalgorithm:
oneisthetimedomainandfrequencydomainbasedmethodandtheotheristheevolutionofalgorithm-basedclassification.Timedomainincludes:
complexdemodulation(CD),modifiedmovingaveragemethod(MMA),correlationanalysismethod(CM).Frequency-domainalgorithmsinclude:
Adamproposedbytheenergyspectrumanalysis(ESM.EnergySpectralMethod),Smithmadeonthisbasis,thespectralanalysismethod(SM.SpectralMethod),LagunafurtherproposedKL+spectralanalysis,time-frequencydomainanalysis,wavelettransform,etc.Therearethreeclassificationsthroughtheevolutionalgorithm:
BasedontheshorttimeFouriertransform,basedonnon-linear,basedonsymbolictransformation.ShorttimeFouriertransformbasedalgorithms,including:
complexdemodulation(CD),cyclemethod(PT),statisticaltestingmethod(ST),andextensiveclinicalapplicationofspectralanalysis.AlgorithmbasedonnonlinearTwavealternansusinganonlinearcharacteristic,usingthenonlinearitytotestparameterTwavealternans.Thereareseveralmethodsasfollows:
modifiedmovingaverage(MMA),theLaplacelikelihoodratiomethod(LLR),Poincareplotmethod(PM)andsoon.Transformalgorithmbasedonsymbolictime-domainsignalthroughthesigntransformTwavealternansofthecriteriainclude:
correlationanalysismethod(CM),Karhunen-loevetransform(KLT),andstatisticaldetectionofRayleighdetection.
Althoughthespectralanalysismethodwiththeinputdatamaintainsthecharactersofrequirementsforlownoiseandrespiratorymodulationofanti-interferenceabilityoftheadvantages,itrequirestheinsurancethattheheartratetoremainatafixedfrequencyforsometimewhenitworks,anditissensitivefortheheartrate.Atthesametimeitdoesnothavethetimeresolution,thedatacannotdetectnon-steady-statephenomenon.Thepremiseofcomplexdemodulationmethodistwofold:
First,theperiodis2timestheTWAheartrate,andsecond,TWAamplitudeandphasechangeswithtimecosinecurve.ComplexdemodulationmethodcantrackthedynamicinthetimedomainwaveformTWA,butitlacksofaccuratesensitivitytonoise,,andhasalargeamountofcomputation.CorrelationanalysismethodquantifiesthemagnitudeofACMTWAbycalculatingtheaverageTwaveandTwaveofthealternatingsingleindex(AlternatesCorrelationIndex,ACI)andalternatingthetwoindicators.ItcandetectnotonlytheamplitudechangesofT,butalsothelocationofTWAontheECGandduration.Howeverithashighrequirementsontheinputdata,buthaspoorperformanceagainstbaselinedrift.
Kalmanfilter,asoneofthecontemporarythreemostoptimizedtheories,employsthereal-timerecursivealgorithmtooptimallyestimatethesignalswhichincludeobservationnoiseandinterference,whichiswidelyusedinnon-stationaryandmulti-dimensionalrandomprocess.NotethatthemeaningandmethodofKalmanfilteriscompletelydifferentfromtheconventionalfilters,andtheoptimalestimateisitsessence.Thisarticle,takesthestrategyofmodulusmaximatoobtaintheamplitudeofTwavealternansafterdoingthefollowingactivities:
accesstheTwavematrixwhichwasdividedintotwogroupsaccordingtothepolicy,useKalmanfiltertocorrecttheimpactofnoiseanddriftlimits,updatetheTwavematrix,andreducetheimpactofthedegreeofalignmentofTwave,irregularshapeofTwave.Then,Twavealternanscanbeobtainedthroughtheapplicationofmaximumorderwindowedstrategies,meanwhile,itcaneffectivelydetectthephenomenonofshort-termTwaves.Also,frequencydomainmethodsorstatisticalmethodscanbeavailableindetectingTWA.
TWAdetectionandanalysisalgorithm
1.Kalmanfiltertheory
KalmanfilteringwasadvocatedbyKalman(R.E.Kalman)in1960.itisakindoffilteringalgorithmtoestimatetherequiredsignalfromtherelatedobservationswhichwereextractedfromthesignal.theconceptofstatespacewasintroducedtotherandomestimationtheory.Kalmanfilteralgorithmisformedbyemployingthestatisticalpropertiesofthesystemstateequation,theobservationequation,thesystemnoiseandtheobservationnoise.Kalmanfilterisatime-domainfiltering,usingthestatespaceapproachtodescribethesystem.Itsalgorithmistherecursiveform,anditisofasmalldatastorage,soitcannotonlydealwithstationarysignalsbutalsocanhandlemulti-dimensionalandnon-stationaryrandomprocess.Moreover,Kalmanfilteringisdifferentfromtheconventionalfilters,itsessenceisthemostoptimalestimationmethodanditisoneofthethreemostoptimizedtheories.Ishasbeenwidelyusedininertialnavigation,targettracking,communicationsandsignalprocess.ThesuccessofU.S.ApolloprogramisapracticeofthesuperiorityofKalmanfiltertheory.JustbecauseoftheseadvantagesoftheKalmanfilter,itcanfurtherfilteroutnoiseanddriftlimits,reducetheinfluenceontheTwavealignmentandirregularshapeinsertontheTWAdetection.Kalman滤波理论的公式:
Kalmanfiltertheoryformula:
Stateestimation:
Statestepprediction:
Sequenceofnewinformation:
Filtergainmatrix:
Steppredictionerrorvariancematrix:
Estimatingthevariancematrix:
Intheabove,
isthen-dimensionalpredictivevalue,
isthemeasuredvalue,
isthetransitionmatrixofn*n-dimensionalstate,Histhem*n-dimensionalobservationmatrix.
2.Theprocedureofcalculation
2.1ECGsignalpretreatment
Thefrequencyrangeofthenoisessuchasfrequencyinterference,EMGinterference,baselinedrift,motionartifactinECGsignalcanbedetermined,thecentralizedbandandtheemergencelocationoftheenergyinvariouspartsoftheECGalsohaveacertainregularity.Therefore,waveletheursurecanbeusedinthresholdingnoisereductionandthemedianfilteringmethodinbaselinedrift.
2.2ThedetectionofQRSWaveandTWave
Employathresholdstrategyofwaveletmodulusmaximaalgorithmtocalculatethepeakpoint,thestartingpointandtheendingpointoftheTwave.
2.3TwaveTwavematrixalignmentandaccesstoTwave
AstheconventionalalignmentmethodisinaccordancewiththeTwavestart,endalignment,buttheTwaveshapesvariably,isdifficulttoaccuratelydetectthefeaturepoints,thiswilldefinitelyaffecttheTwavealignment,therefore,inthisarticlethefollowingstrategyisused:
First,