一种用于地震信号分析的二阶挤压小波变换算法-豆柴文库

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一种用于地震信号分析的二阶挤压小波变换算法
Title:ASecond-orderSqueezingWaveletTransformAlgorithmforEarthquakeSignalAnalysis
Abstract:
Earthquakemonitoringandanalysisplayacrucialroleinensuringthesafetyofinfrastructureandthewell-beingofhumanpopulations.Accurateandreliableanalysisofearthquakesignalsisessentialforunderstandingseismicbehaviorandpredictingfutureevents.Inrecentyears,wavelettransformalgorithmshavedemonstratedtheireffectivenessinextractingvaluableinformationfromseismicsignals.Thispaperproposesanovelalgorithm,theSecond-orderSqueezingWaveletTransform(SSWT),specificallydesignedforearthquakesignalanalysis.
1.Introduction:
EarthquakesarenaturalphenomenathatoccurduetothesuddenreleaseofenergyintheEarth'scrust.TheygenerateseismicwavesthatpropagatethroughtheEarth,causinggroundshakingandpotentialdamagetostructures.Analyzingearthquakesignalsiscrucialforunderstandingthecharacteristicsofseismicevents,predictingfutureoccurrences,anddesigningresilientinfrastructure.
2.WaveletTransformanditsApplications:
TheWaveletTransform(WT)hasgainedpopularityinvarioussignalprocessingapplicationsduetoitsabilitytoanalyzesignalsatdifferentscales.Itprovidesbothtimeandfrequencydomaininformation,makingitasuitablecandidateforearthquakesignalanalysis.TheWTdecomposesasignalintomultiplelevelsandextractsinformationusingasetofwaveletfunctions.
3.LimitationsofExistingWaveletTransformAlgorithms:
Existingwavelettransformalgorithmshavelimitationswhenappliedtoearthquakesignalanalysis.First,traditionalwavelettransformssufferfromphasedistortion,whichcanobscureimportantfeaturesoftheseismicsignal.Second,theyoftenfailtocapturehigher-ordernonlinearities,whicharecommoninearthquakesignals.Toovercometheselimitations,anewalgorithmcalledtheSecond-orderSqueezingWaveletTransform(SSWT)isproposed.
4.Second-orderSqueezingWaveletTransform(SSWT):
TheSSWTtacklesthelimitationsoftraditionalwavelettransformsbyincorporatinghigher-orderstatisticalpropertiesofthesignal.Itappliesasecond-ordersqueezingoperationtothewaveletcoefficients,enhancingtherep