{"title":"Optimal in the Hankel norm reduction of digital IIR filter order","authors":"M. Kagalenko","doi":"10.1109/MECO.2016.7525753","DOIUrl":null,"url":null,"abstract":"This work presents a method to construct near-optimal rational approximation to a rational function of higher degree. We develop an algorithm to perform singular value decomposition of infinite Hankel matrix that has a finite rank and use this decomposition to construct Adamyan-Arov-Krein approximant. We apply the result to the task of constructing an IIR digital filter.","PeriodicalId":253666,"journal":{"name":"2016 5th Mediterranean Conference on Embedded Computing (MECO)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 5th Mediterranean Conference on Embedded Computing (MECO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MECO.2016.7525753","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This work presents a method to construct near-optimal rational approximation to a rational function of higher degree. We develop an algorithm to perform singular value decomposition of infinite Hankel matrix that has a finite rank and use this decomposition to construct Adamyan-Arov-Krein approximant. We apply the result to the task of constructing an IIR digital filter.