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脉冲噪声下改进型正弦信号幅度估计方法.docx

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脉冲噪声下改进型正弦信号幅度估计方法 Title:ImprovedAmplitudeEstimationMethodforSinusoidalSignalunderImpulseNoise Abstract: Inthispaper,animprovedamplitudeestimationmethodforsinusoidalsignalsundertheinfluenceofimpulsenoiseisproposed.Impulsenoiseisacommonprobleminvariouscommunicationsystemsandcansignificantlyaffecttheaccuracyofamplitudeestimation.Traditionalmethodsmayfailtoprovidesatisfactoryresultsinthepresenceofimpulsenoise.Therefore,thispaperpresentsanewapproachthatcombinessignalprocessingtechniqueswithstatisticalanalysistoimprovetheestimationaccuracy.Theproposedmethodhasbeenevaluatedthroughexperiments,andtheresultsdemonstrateitseffectivenessinmitigatingtheimpactofimpulsenoiseonamplitudeestimation. 1.Introduction Sinusoidalsignalsarewidelyusedincommunicationsystems,andaccurateamplitudeestimationiscrucialforsignaldetection,demodulation,andothersignalprocessingtasks.However,inpracticalscenarios,thepresenceofimpulsenoisecandistorttheshapeofthesinusoidalsignalandintroduceuncertaintiesintheamplitudeestimationprocess.Impulsenoisecanoriginatefromvarioussources,suchaselectricalinterference,channeldistortions,orexternaldisturbances.Thus,itisessentialtodeveloprobustmethodsthatcanaccuratelyestimatetheamplitudeofsinusoidalsignalseveninthepresenceofimpulsenoise. 2.RelatedWork Severalmethodshavebeenproposedtoestimatetheamplitudeofsinusoidalsignalsundernoiseconditions.Theseincludeclassicalmethodssuchasleast-squaresestimation,maximumlikelihoodestimation,andfrequency-domainmethodslikeDFT-basedestimation.WhilethesemethodsperformwellinGaussiannoiseenvironments,theirperformancedegradessignificantlywhenimpulsenoiseispresent.Therefore,additionaltechniquesneedtobeincorporatedintothesemethodstoimprovetheirrobustnessagainstimpulsenoise. 3.ProposedMethod Theproposedmethodconsistsoftwomainsteps:pre-processingandamplitudeestimation. 3.1Pre-processing Inthepre-processingstep,thereceivedsignalisfilteredtoreducetheimpactofimpulsenoise.Amedianfilterisusedtoremovetheoutlierscausedbyimpulsenoise,whilepreservingthech