最优的数字IIR滤波器阶数汉克尔范数降阶

2016 5th Mediterranean Conference on Embedded Computing (MECO) Pub Date : 2016-06-12 DOI:10.1109/MECO.2016.7525753

M. Kagalenko

{"title":"最优的数字IIR滤波器阶数汉克尔范数降阶","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":"{\"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}","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

摘要

本文提出了一种构造高次有理函数的近最优有理逼近的方法。本文提出了一种对无限有限秩的Hankel矩阵进行奇异值分解的算法，并利用这种分解构造Adamyan-Arov-Krein近似。我们将结果应用于构建IIR数字滤波器的任务。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Optimal in the Hankel norm reduction of digital IIR filter order

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2016 5th Mediterranean Conference on Embedded Computing (MECO)

自引率

0.00%

发文量