A closed form solution to L2-sensitivity minimization of second-order state-space digital filters

Shunsuke Yamaki; Masahide Abe; Masayuki Kawamata

A closed form solution to L₂-sensitivity minimization of second-order state-space digital filters

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research and Development Divisions

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

9 Citations (Scopus)

Abstract

This paper proposes a closed form solution to L₂-sensitivity minimization of second-order state-space digital filters. Restricting ourselves to the 2-nd order case of state-space digital filters, we can formulate L ₂-sensitivity minimization problem by hyperbolic functions. As a result, L₂-sensitivity minimization problem can be converted into a problem to find the solution to a 4-th degree polynomial equation of constant coefficients, which can be algebraically solved in closed form without iterative calculations.

Original language	English
Title of host publication	ISCAS 2006
Subtitle of host publication	2006 IEEE International Symposium on Circuits and Systems, Proceedings
Pages	5223-5226
Number of pages	4
Publication status	Published - 2006
Event	ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems - Kos, Greece Duration: 2006 May 21 → 2006 May 24

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)	0271-4310

Other

Other	ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems
Country/Territory	Greece
City	Kos
Period	06/5/21 → 06/5/24

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

A closed form solution to L₂-sensitivity minimization of second-order state-space digital filters. / Yamaki, Shunsuke; Abe, Masahide; Kawamata, Masayuki.

ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems, Proceedings. 2006. p. 5223-5226 1693810 (Proceedings - IEEE International Symposium on Circuits and Systems).

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

Yamaki, S, Abe, M & Kawamata, M 2006, A closed form solution to L₂-sensitivity minimization of second-order state-space digital filters. in ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems, Proceedings., 1693810, Proceedings - IEEE International Symposium on Circuits and Systems, pp. 5223-5226, ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems, Kos, Greece, 06/5/21.

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