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简介：Theexplicitformfortheorthonormalperiodictrigonometricsplinewaveletisgiven.Wealsogivethedecompositionandreconstructionequations.Eachofthetwoequationsinvolvesonlytwoterms.WeprovethatthefamilyofperiodictrigonometricsplinewaveletsisdenseinL2([0,2π]).

简介：Ageneralprocedureforconstructingmultivariatenon-tensor-productwaveletsthatgen-erateanorthogonaldecompositionofL~2(R~),s≥1,isdescribedandappliedtoyieldexplicitformulasforcompactlysupportedspline-waveletsbasedonthemultiresolutionanalysisofL~2(R~s),1≤s≤3,generatedbyanyboxsplinewhosedirectionsetconstitutesaunimodularmatrix.Inparticular,whenunivariatecardinalB-splinesareconsidered,theminimallysup-portedcardinalspline-waveletsofChuiandWangarerecovered.Arefinedcomputationalschemefortheorthogonalizationofspaceswithcompactlysupportedwaveletsisgiven.Arecursiveapproximationschemefor“truncated”decompositionsequencesisdevelopedandasharperrorboundisincluded.Aconditiononthesymmetryoranti-symmetryofthewaveletsisappliedtoyieldsymmetricbox-splinewavelets.

简介：Inthispaper,weproposetheso-calledcontinuousFresnel-waveletcombinatorialtransformwhichmeansthatthemotherwaveletundergoestheFresneltransformation.Thismotivationcanletthemother-wavelet-stateitselfvaryfrom|ψtoFr,s|ψ,exceptforvariationwithinthefamilyofdilationsandtranslations.TheParseval’sequality,admissibilityconditionandinversetransformofthiscontinuousFresnel-waveletcombinatorialtransformareanalysed.BytakingcertainparametersandusingtheadmissibilityconditionofthiscontinuousFresnel-waveletcombinatorialtransform,weobtainsomemotherwavelets.Acomparisonbetweenthenewlyfoundmotherwaveletsispresented.

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简介：ＡＤＭＩＳＳＩＢＬＥＷＡＶＥＬＥＴＳＡＳＳＯＣＩＡＴＥＤＷＩＴＨＴＨＥＴＲＡＮＳＦＯＲＭＧＲＯＵＰＯＮＲＨＥＪＩＡＮＸＵＮＡＮＤＰＥＮＧＬＩＺＨＯＮＧＡｂｓｔｒａｃｔ．ＬｅｔＰｂｅｔｈｅｔｒａｎｓｆｏｒｍｇｒｏｕｐｏｎＲｎ，ｔｈｅｎＰｈａｓａｎａｔｕ...

简介：在这份报纸，我们构造从周期的功能g放大功能和小浪的二尺寸的周期的interpolatory(x1，x2)，其Fourier系数是积极的，并且获得可伸缩的一些性质，工作并且小浪。

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简介：PascaltrianglesareformulatedforcomputingthecoefficientsoftheB-splineseriesrepresentationofthecompactlysupportedspline-waveletswithminimumsupportandtheirderivatives.Itisshownthatwiththeal-ternatingsignsremoved,allthesesequencesaretotallypositive.Ontheotherhand,truncationsoftherecipro-calEuler-Frobeniuspolynomialsleadtofinitesequencesfororthogonalwaveletdecompositions.Forthispur-pose,sharpestimatesaregivenintermsoftheexactreconstructionoftheseapproximatedecomposedcompo-nents.

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简介：Inthispaper,thecloserelationshipamongwavelettransformandquadraturemirrorfilter(QMF)banksandthescattering-matrixofwavedigitalfilter(WDF)isandlyzedindetail.TheparametrizationoforthonormalcompactlysupportedwaveletbasesthathaveanarbitrarynumberofvanishingmomentisobtainedbybuildinganyQMFpairoutofelementaryfactorsofthescatteringmatrix.Inaddition,theoptimizationofparameterisalsopresented.Ascomparison,Someexamplesaboutorthonormalcompactlysupportedwaveletthathasarbitrarynumberofvanishingmomentandthemostnumberofvanishingmomentaregivenrespectively.Thenwegivetheefficientlatticestructuretoimplementthetransform.

简介：好硅石沙的一张床上的床形式的开始和发展上的试验性的调查与一条分叉的隧道在实验室斜槽在冲积流动条件下面被进行。学习的主要目的是估计：我)在开发的转变阶段的床形式的险峻；并且ii)触发了涟漪开发的开始的小浪(t)的阀值高度。详细的床侧面大小用一根声学的Doppler探针被执行，在在各种各样的试验的沉积床上的穿越的纵预定。床形式尺寸从如此的床侧面记录被提取并且为小浪，转变和平衡阶段分析了。在转变和平衡阶段的涟漪的险峻是类似的，这被发现，证实以前的数学模型模拟的预言。lognormal分布适合小浪长度数据。小浪阀值高度作为t被估计7公里，或y+80以墙单位。如此的高度大小建议涟漪开发能被到达狂暴的边界层的外部流动地区的小浪触发。获得的t价值为床形式尺寸通常对应于在二个预兆的方程之间的交叉点。明确的表达被开发作为沉积谷物尺寸的功能预言t，它为在这研究使用的好沙被证实。

简介：Thispaperpresentsanefficienttechniqueforprocessingof3Dmeshedsurfacesviasphericalwavelets.Morespecifically,aninput3Dmeshisfirstlytransformedintoasphericalvectorsignalbyafastlowdistortionsphericalparameterizationapproachbasedonsymmetryanalysisof3Dmeshes.Thissignalisthensampledonthespherewiththehelpofanadaptivesamplingscheme.Finally,thesampledsignalistransformedintothewaveletdomainaccordingtosphericalwavelettransformwheremany3Dmeshprocessingoperationscanbeimplementedsuchassmoothing,enhancement,compression,andsoon.Ourmaincontributionliesinincorporatingafastlowdistortionsphericalparameterizationapproachandanadaptivesamplingschemeintotheframeforprocessing3Dmeshedsurfacesbysphericalwavelets,whichcanhandlesurfaceswithcomplexshapes.Anumberofexperimentalexamplesdemonstratethatouralgorithmisrobustandefficient.

简介：Thispaperdescribesanovelwavelet-basedapproachtothedetectionofabruptfaultofRotorcraftUnmannedAerialVe-hicle(RUAV)sensorsystem.Byuseofwavelettransformsthataccuratelylocalizethecharacteristicsofasignalbothinthetimeandfrequencydomains,theoccurringinstantsofabnormalstatusofasensorintheoutputsignalcanbeidentifiedbythemulti-scalerepresentationofthesignal.Oncetheinstantsaredetected,thedistributiondifferencesofthesignalenergyonalldecomposedwaveletscalesofthesignalbeforeandaftertheinstantsareusedtoclaimandclassifythesensorfaults.

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简介：近似顺序什么时候是一个简单方法被给简洁地构造的一个奇怪的积极整数，与膨胀因素3支持了直角的对称的复杂可伸缩功能。二相应直角的小浪，一个人是对称的，其它关于起源是反对称的，明确地被构造。另外，当近似顺序是一个平整数时2，我们也给一个方法简洁地构造支持的直角的对称的建筑群小浪。最后，有几个例子，说明相应结果。

简介：ThepurposeofthispaperistoconstructanorthogonalArmletmulti-waveletswithmul-tiplicityranddilationfactora.Firstly,thedefinitionofArmletswithdilationfactoraisproposedinthispaper.BasedontheTwo-scaleSimilarTransform(TST),thenotionofthePara-unitaryA-scaleSimilarTransform(PAST)isintroduced,andwealsogivethetransformonthealltwo-scalematrixsymbolsofthemulti-waveletswithdilationa.ThenweshowthatthePASTandthetransformonthematrixsymbolsofthemulti-waveletskeeptheorthogonalityofthemulti-waveletssystem.Wediscusstheconditionthatmulti-waveletscorrespondingtothemulti-scalingfunctionsareallArmlets.AfterperformingthePASTandthetransformonthematrixsymbolsofthemulti-wavelets,themulti-scalingfunctioncanbebalancedandthecorrespondingmulti-waveletscanbeArmletsatthesametime.TheconstructionofArmletswithhighorderisalsodiscussed.Atlast,byagivenexample,wecanconcludethatthealgorithmisfeasibleandefficient.

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