递归数字滤波器设计的一种新的参数化方法

Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467) Pub Date : 1900-01-01 DOI:10.1109/ISSPA.2001.949765

Xiaokai Bai, Gang Li

{"title":"递归数字滤波器设计的一种新的参数化方法","authors":"Xiaokai Bai, Gang Li","doi":"10.1109/ISSPA.2001.949765","DOIUrl":null,"url":null,"abstract":"It is known that any Schur polynomial can be characterized with a set of lattice partial correlation coefficients {k/sub i/} with |k/sub i/| < 1, /spl forall/i and this mapping is one-to-one. In this paper, based on the lattice structure we propose an alternative parametrization. It is important to notice that this parametrization is complete and compact, corresponds to the entire stable transfer function space and that any such parametrized transfer function is differentiable.","PeriodicalId":236050,"journal":{"name":"Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new parametrization to the design of recursive digital filter\",\"authors\":\"Xiaokai Bai, Gang Li\",\"doi\":\"10.1109/ISSPA.2001.949765\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is known that any Schur polynomial can be characterized with a set of lattice partial correlation coefficients {k/sub i/} with |k/sub i/| < 1, /spl forall/i and this mapping is one-to-one. In this paper, based on the lattice structure we propose an alternative parametrization. It is important to notice that this parametrization is complete and compact, corresponds to the entire stable transfer function space and that any such parametrized transfer function is differentiable.\",\"PeriodicalId\":236050,\"journal\":{\"name\":\"Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467)\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISSPA.2001.949765\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISSPA.2001.949765","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

已知任何Schur多项式都可以用一组格偏相关系数{k/sub i/}来表征，其中|k/sub i/| < 1， /spl forall/i，并且这种映射是一对一的。在本文中，基于晶格结构，我们提出了另一种参数化方法。重要的是要注意，这个参数化是完备和紧凑的，对应于整个稳定传递函数空间，并且任何这样的参数化传递函数都是可微的。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

A new parametrization to the design of recursive digital filter

It is known that any Schur polynomial can be characterized with a set of lattice partial correlation coefficients {k/sub i/} with |k/sub i/| < 1, /spl forall/i and this mapping is one-to-one. In this paper, based on the lattice structure we propose an alternative parametrization. It is important to notice that this parametrization is complete and compact, corresponds to the entire stable transfer function space and that any such parametrized transfer function is differentiable.

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

Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467)

自引率

0.00%

发文量