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ID:40554087
大小:2.20 MB
页数:25页
时间:2019-08-04
《1993_Signal Processing with Fractional Lower Order Moments Stable Processes and Their Applications_PIEEE》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、SignalProcessingwithFractionalLowerOrderMoments:StableProcessesandTheirApplicationsNon-Gaussianstatisticalsignalprocessingisimportantwhenaccuracy.WhenthelossofresolutionduetotheidealsignalsandornoisedeviatefromtheidealGaussianmodel.StableGaussianassumptioninanon-Gaussianenvi
2、ronmentcandistributionsareamongthemostimportantnon-Gaussianmodels.notbetolerated,morerealisticstatisticalmodelsmustbeTheysharedejningcharacteristicswiththeGaussiandistribution,used.suchasthestabilitypropertyandcentrallimittheorems,andinfactincludetheGaussiandistributionasali
3、mitingcase.TohelpengineersbetterunderstandthestablemodelsanddevelopA.StatisticalModelingwithNon-Gaussianmethodologiesfortheirapplicationsinsignalprocessing,thisStableDistributionspaperpresentsatutorialreviewofthebasiccharacteristicsofstabledistributionsandstablesignalprocess
4、ing.TheemphasisAbroadandincreasinglyimportantclassofnon-Gaussianwillbeonthedifferencesandsimilaritiesbetweenstablesignalphenomenaencounteredinpracticecanbecharacterizedprocessingmethodsbasedonfractionallowerordermomentsbyitsimpulsivenature.SignalsandnoiseinthisclassareandGau
5、ssiansignalprocessingmethodsbasedonsecond-ordermoments.morelikelytoexhibitsharpspikesoroccasionalburstsofoutlyingobservationsthanonewouldexpectfromnormallydistributedsignals.Asaresult,theirdensityfunctionsdecayI.INTRODUCTIONinthetailslessrapidlythantheGaussiandensityfunction
6、.ThesignalprocessingliteraturehastraditionallybeenUnderwateracousticsignals,low-frequencyatmosphericdominatedbytheGaussianassumption.Inmanyinstancesnoiseandmanytypesofman-madenoisehaveallbeentheidealGaussianmodelisreasonableandcanbejustifiedfoundtobelongtothisclass[9],[121-[
7、161.ItisforthistypebytheCentralLimitTheorem.Inaddition,itoftenleadsofsignalsandnoisethatthestabledistributionprovidesatoanalyticallytractablesolutionsforsignalprocessingusefultheoreticaltool.problems.ThestablelawisadirectgeneralizationoftheGaussianUnfortunately,therearealsom
8、anyphenomenainsig-distributionandinfactincludestheGaussianasalimitingnalpro
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