transform for Fresnel-transformed mother wavelets

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摘要 Inthispaper,weproposetheso-calledcontinuousFresnel-waveletcombinatorialtransformwhichmeansthatthemotherwaveletundergoestheFresneltransformation.Thismotivationcanletthemother-wavelet-stateitselfvaryfrom|ψtoFr,s|ψ,exceptforvariationwithinthefamilyofdilationsandtranslations.TheParseval’sequality,admissibilityconditionandinversetransformofthiscontinuousFresnel-waveletcombinatorialtransformareanalysed.BytakingcertainparametersandusingtheadmissibilityconditionofthiscontinuousFresnel-waveletcombinatorialtransform,weobtainsomemotherwavelets.Acomparisonbetweenthenewlyfoundmotherwaveletsispresented.
机构地区 不详
出处 《中国物理B:英文版》 2011年12期
出版日期 2011年12月22日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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