Analytical synthesis of minimum L2-sensitivity realizations of all-pass digital filters

Shunsuke Yamaki; Masahide Abe; Masayuki Kawamata

doi:10.1109/ISCAS.2010.5537473

Analytical synthesis of minimum L₂-sensitivity realizations of all-pass digital filters

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

This paper proposes analytical synthesis of the minimum L ₂-sensitivity realizations of all-pass digital filters. We first prove that the L₂-sensitivity minimization problem can be solved analytically if the all second-order modes of a digital filter are equal. We focus on the fact that the second-order modes of all-pass digital filters are all unity. As a result, it is clarified that the minimum L₂- sensitivity realization of an all-pass digital filter is equal to the balanced realization, which can be synthesized analytically.

Original language	English
Title of host publication	ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems
Subtitle of host publication	Nano-Bio Circuit Fabrics and Systems
Pages	729-732
Number of pages	4
DOIs	https://doi.org/10.1109/ISCAS.2010.5537473
Publication status	Published - 2010
Event	2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems, ISCAS 2010 - Paris, France Duration: 2010 May 30 → 2010 Jun 2

Publication series

Name	ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems

Other

Other	2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems, ISCAS 2010
Country/Territory	France
City	Paris
Period	10/5/30 → 10/6/2

ASJC Scopus subject areas

Hardware and Architecture
Electrical and Electronic Engineering

Access to Document

10.1109/ISCAS.2010.5537473

Cite this

Yamaki, S., Abe, M., & Kawamata, M. (2010). Analytical synthesis of minimum L₂-sensitivity realizations of all-pass digital filters. In ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems (pp. 729-732). [5537473] (ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems). https://doi.org/10.1109/ISCAS.2010.5537473

Analytical synthesis of minimum L₂-sensitivity realizations of all-pass digital filters. / Yamaki, Shunsuke; Abe, Masahide; Kawamata, Masayuki.
ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems. 2010. p. 729-732 5537473 (ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yamaki, S, Abe, M & Kawamata, M 2010, Analytical synthesis of minimum L₂-sensitivity realizations of all-pass digital filters. in ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems., 5537473, ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems, pp. 729-732, 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems, ISCAS 2010, Paris, France, 10/5/30. https://doi.org/10.1109/ISCAS.2010.5537473

Yamaki S, Abe M, Kawamata M. Analytical synthesis of minimum L₂-sensitivity realizations of all-pass digital filters. In ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems. 2010. p. 729-732. 5537473. (ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems). doi: 10.1109/ISCAS.2010.5537473

Yamaki, Shunsuke ; Abe, Masahide ; Kawamata, Masayuki. / Analytical synthesis of minimum L₂-sensitivity realizations of all-pass digital filters. ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems. 2010. pp. 729-732 (ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems).

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