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

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 Dec 1
Event	ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems - Kos, Greece Duration: 2006 May 21 → 2006 May 24

Other

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

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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

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.",

author = "Shunsuke Yamaki and Masahide Abe and Masayuki Kawamata",

year = "2006",

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AU - Kawamata, Masayuki

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Y1 - 2006/12/1

N2 - 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.

AB - 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.

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AN - SCOPUS:34547336535

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T2 - ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems

Y2 - 21 May 2006 through 24 May 2006

ER -

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

Abstract

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ASJC Scopus subject areas

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