Minimum Roundoff Noise Realization for Variable IIR Digital Filters Based on M-D Polynomial Approximation

Shunsuke Koshita, Masahide Abe, Masayuki Kawamata

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

In design of Variable Digital Filters (VDFs), Multi-Dimensional (M-D) polynomial approximation is well known as one of the powerful techniques. Although a number of methods for such VDF design can be seen in the literature, nothing has been proposed in this field with emphasis on high-accuracy filter structures with respect to the finite wordlength effects such as coefficient quantization error and roundoff noise. This paper presents M-D polynomial approximation-based VDFs with such a high-accuracy structure. To this end, we first decompose the pre-designed set of constant filters into second-order sections. Then, using the theory proposed in the literature, all of the second-order sections are described in terms of state-space representation of second-order Minimum Roundoff Noise (MRN) structure. Finally the resultant state-space coefficients are approximated by M-D polynomials based on spectral parameters. A numerical example demonstrates that the proposed method simultaneously attains the desired variable characteristics and approximately optimal performances with respect to the finite wordlength effects.

本文言語English
ホスト出版物のタイトル2018 IEEE International Symposium on Circuits and Systems, ISCAS 2018 - Proceedings
出版社Institute of Electrical and Electronics Engineers Inc.
ISBN(電子版)9781538648810
DOI
出版ステータスPublished - 2018 4 26
イベント2018 IEEE International Symposium on Circuits and Systems, ISCAS 2018 - Florence, Italy
継続期間: 2018 5 272018 5 30

出版物シリーズ

名前Proceedings - IEEE International Symposium on Circuits and Systems
2018-May
ISSN(印刷版)0271-4310

Other

Other2018 IEEE International Symposium on Circuits and Systems, ISCAS 2018
CountryItaly
CityFlorence
Period18/5/2718/5/30

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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