{"title":"基于b样条插值和高斯-勒让德积分规则的数字IIR积分器设计","authors":"C. Tseng, Su-Ling Lee","doi":"10.5281/ZENODO.41956","DOIUrl":null,"url":null,"abstract":"In this paper, the design of digital IIR integrator is investigated. First, the B-spline interpolation method is described. Then, non-integer delay sample estimation of discrete-time sequence is derived by using B-spline interpolation approach. Next, the Gauss-Legendre integration rule and noninteger delay sample estimation are applied to obtain the transfer function of digital integrator. Finally, some numerical comparisons with conventional digital integrators are made to demonstrate the effectiveness of this new design approach.","PeriodicalId":409817,"journal":{"name":"2010 18th European Signal Processing Conference","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Design of digital IIR integrator using B-spline interpolation and Gauss-Legendre integration rule\",\"authors\":\"C. Tseng, Su-Ling Lee\",\"doi\":\"10.5281/ZENODO.41956\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the design of digital IIR integrator is investigated. First, the B-spline interpolation method is described. Then, non-integer delay sample estimation of discrete-time sequence is derived by using B-spline interpolation approach. Next, the Gauss-Legendre integration rule and noninteger delay sample estimation are applied to obtain the transfer function of digital integrator. Finally, some numerical comparisons with conventional digital integrators are made to demonstrate the effectiveness of this new design approach.\",\"PeriodicalId\":409817,\"journal\":{\"name\":\"2010 18th European Signal Processing Conference\",\"volume\":\"55 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-08-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 18th European Signal Processing Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5281/ZENODO.41956\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 18th European Signal Processing Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.41956","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Design of digital IIR integrator using B-spline interpolation and Gauss-Legendre integration rule
In this paper, the design of digital IIR integrator is investigated. First, the B-spline interpolation method is described. Then, non-integer delay sample estimation of discrete-time sequence is derived by using B-spline interpolation approach. Next, the Gauss-Legendre integration rule and noninteger delay sample estimation are applied to obtain the transfer function of digital integrator. Finally, some numerical comparisons with conventional digital integrators are made to demonstrate the effectiveness of this new design approach.
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