{"title":"Rational wavelet filter banks from Blaschke product","authors":"Xuefeng Wang","doi":"10.1142/s0219691322500424","DOIUrl":null,"url":null,"abstract":"This note designs two kinds of rational wavelet filter banks using three basic bricks: the finite Blaschke product, Bezout polynomial and the symbol of the cardinal B-spline. In orthogonal case, the corresponding wavelets are generalization of Daubechies’ wavelets. The role of the Blaschke product is the adjustment of the peaks of wavelet functions.","PeriodicalId":158567,"journal":{"name":"Int. J. Wavelets Multiresolution Inf. Process.","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Wavelets Multiresolution Inf. Process.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0219691322500424","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
This note designs two kinds of rational wavelet filter banks using three basic bricks: the finite Blaschke product, Bezout polynomial and the symbol of the cardinal B-spline. In orthogonal case, the corresponding wavelets are generalization of Daubechies’ wavelets. The role of the Blaschke product is the adjustment of the peaks of wavelet functions.
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