基于整形正则化和非稳态信号反演的随机噪声衰减方法（英文）-豆柴文库

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基于整形正则化和非稳态信号反演的随机噪声衰减方法（英文）
Title:
RandomNoiseAttenuationUsingIntegerRegularizationandNonstationarySignalInversion
Abstract:
Inmanypracticalscenarios,randomnoiseisacommonphenomenonthataffectsthequalityandreliabilityofsignals.Inthispaper,weproposeamethodforattenuatingrandomnoisebasedonintegerregularizationandnonstationarysignalinversion.Themethodaimstoremoveunwantednoisewhilepreservingtheimportantfeaturesofthesignal.Wedescribethetheoreticalbackgroundofintegerregularizationandnonstationarysignalinversionanddiscusstheirpotentialapplicationsinrandomnoiseattenuation.Wethenpresenttheproposedmethodandprovideadetailedexplanationofitsstepsandalgorithms.Finally,weconductexperimentsonsyntheticandreal-worlddatatovalidatetheeffectivenessoftheproposedmethod.Theresultsdemonstratethatthemethodsuccessfullyattenuatesrandomnoisewhilemaintainingsignalfidelity,makingitapromisingapproachforvariousnoisereductiontasks.
1.Introduction
Randomnoiseisaubiquitousprobleminvariousfields,includingtelecommunications,imageprocessing,seismicdataanalysis,andbiomedicalsignalanalysis.Itcanarisefromvarioussources,suchassensorimperfections,environmentalfactors,andtransmissionerrors.Randomnoisehasadetrimentaleffectonsignalqualityandcanobscureimportantinformation.Therefore,removingrandomnoisewhilepreservingsignalfidelityisofgreatimportance.
2.TheoryBackground
2.1IntegerRegularization
Integerregularizationisatechniquethataimstofindanoptimalintegersolutiontoanill-posedproblem.Ithasbeensuccessfullyappliedinvariousimageprocessingtasks,suchasimagedenoising,inpainting,andsuper-resolution.Thekeyideaofintegerregularizationistoregularizetheproblemthroughanintegerconstraint,whichenhancestheabilityofthealgorithmtoeliminatenoise.
2.2NonstationarySignalInversion
Nonstationarysignalinversionisamethodthataimstoestimatethesignalfromnoisyobservationsbyconsideringthenonstationarityofthesignal.Traditionalsignalinversiontechniquesassumestationarityofthesignalbutfailtocapturethetemporalvariationsinherentinmanyreal-worldsignals