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基于保角变换的双谱域相位谱估计方法及其在地震子波估计中的应用(英文) Title:ADual-SpectrumPhaseSpectrumEstimationMethodBasedonPolarCoordinateTransformandItsApplicationinSeismicSubwaveformEstimation Abstract: Phaseestimationofseismicsignalsisacrucialtaskinvariousapplications,suchasearthquakeanalysisandseismicsubwaveformestimation.Inthispaper,weproposeanoveldual-spectrumphasespectrumestimationmethodbasedonthepolarcoordinatetransform,aimingtoaccuratelyestimatethephasespectrumofseismicsignalsinthefrequencydomain.Moreover,wedemonstratetheeffectivenessofourmethodinseismicsubwaveformestimation. 1.Introduction(200words) Seismicsignalsplayafundamentalroleinearthquakeanalysisandothergeophysicalapplications.Theaccurateestimationofthephasespectrumofseismicsignalsisofsignificantimportanceinvarioustasks,suchasseismicsourcelocation,earthquakemagnitudedetermination,andseismicsubwaveformestimation.Traditionalmethods,suchasFourierTransformandWaveletTransform,havelimitationsinaccuratelyestimatingthephasespectrumduetotheirinherentcharacteristics.Inthispaper,weproposeanovelmethodbasedonthepolarcoordinatetransformtoovercometheselimitationsandimprovephasespectrumestimationaccuracy. 2.Background(200words) Thissectionprovidesabriefoverviewoftheexistingphasespectrumestimationmethods,highlightingtheirlimitationsandtherequirementsforamoreaccurateestimationmethod.WediscussthedisadvantagesofFourierTransformandWaveletTransforminestimatingthephasespectrumandthepotentialbenefitsoftheproposeddual-spectrummethod. 3.Methodology(400words) Inthissection,wedescribetheproposeddual-spectrumphasespectrumestimationmethodindetail.Themethodconsistsofthreekeysteps:preprocessing,polarcoordinatetransform,andphasespectrumestimation.Weexplaineachstepindepth,highlightingtheadvantagesanduniquenessofourapproach. 3.1Preprocessing Wediscussthenecessarypreprocessingstepstoenhancethequalityoftheseismicsignalsandremoveanynoiseorartifactsthatcouldaffectthephasespectrumestimationaccuracy. 3.2PolarCoordinateTransform Weintroducethepolarcoordinatetransformasthe