摘要
Inthispaper,weproposetheso-calledcontinuousFresnel-waveletcombinatorialtransformwhichmeansthatthemotherwaveletundergoestheFresneltransformation.Thismotivationcanletthemother-wavelet-stateitselfvaryfrom|ψtoFr,s|ψ,exceptforvariationwithinthefamilyofdilationsandtranslations.TheParseval’sequality,admissibilityconditionandinversetransformofthiscontinuousFresnel-waveletcombinatorialtransformareanalysed.BytakingcertainparametersandusingtheadmissibilityconditionofthiscontinuousFresnel-waveletcombinatorialtransform,weobtainsomemotherwavelets.Acomparisonbetweenthenewlyfoundmotherwaveletsispresented.
出版日期
2011年12月22日(中国Betway体育网页登陆平台首次上网日期,不代表论文的发表时间)