Design of Orthogonal Filterbanks with Rational Coefficients Using Grobner Bases

被引：0

作者：

Le, Nhu Y. ^{[1
]}

Lin, Zhiping ^{[1
]}

Tay, David B. H. ^{[2
]}

Xu, Li ^{[3
]}

Cao, Jiuwen ^{[4
]}

机构：

[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore, Singapore

[2] La Trobe Univ, Dept Engn, Bundoora, Vic, Australia

[3] Akita Prefectural Univ, Dept Elect & Informat Syst, Akita, Japan

[4] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou, Zhejiang, Peoples R China

来源：

2017 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS) | 2017年

关键词：

orthogonal filter; rational coefficients; Grobner bases; vanishing moments; filterbank;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Filterbanks are widely used in many applications. In the literature, most filterbanks with irrational value coefficients were designed, while in practice, filters and filterbanks are implemented using rational coefficients. This paper introduces a powerful mathematical tool called Grobner basis (GB) into the design of orthogonal filterbanks. Specifically, we use GB to find good rational lattice parameters for Daubechies length 6 (Db6) filterbank. We show that there does not exist any Db6 filterbank with rational coefficients and also meeting the first two vanishing moments (VM's). Moreover, we obtain several good Db6 filterbanks which meet the first VM exactly and the second VM approximately.

引用

页码：2553 / 2556

页数：4

共 7 条

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