Synthesis of the minimum L2-sensitivity realizations of second-order digital filters without iterative calculations

Shunsuke Yamaki; Masahide Abe; Masayuki Kawamata

doi:10.1109/ISCIT.2010.5665054

Synthesis of the minimum L₂-sensitivity realizations of second-order digital filters without iterative calculations

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

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

Abstract

This paper proposes synthesis of the minimum L₂-sensitivity realizations of second-order digital filters without iterative calculations. We restrict ourselves to second-order digital filters and consider three cases of second-order digital filters: complex conjugate poles, distinct real poles, and multiple real poles. We can express the L₂-sensitivity by a simple linear combination of exponential functions and formulate the L ₂-sensitivity minimization problem by a simple polynomial equation. As a result, we achieve the L₂-sensitivity minimization without iterative calculations.

Original language	English
Title of host publication	ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies
Pages	560-565
Number of pages	6
DOIs	https://doi.org/10.1109/ISCIT.2010.5665054
Publication status	Published - 2010 Dec 1
Event	2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010 - Tokyo, Japan Duration: 2010 Oct 26 → 2010 Oct 29

Publication series

Name	ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies

Other

Other	2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010
Country/Territory	Japan
City	Tokyo
Period	10/10/26 → 10/10/29

ASJC Scopus subject areas

Computer Networks and Communications
Information Systems

Access to Document

10.1109/ISCIT.2010.5665054

Cite this

Yamaki, S., Abe, M., & Kawamata, M. (2010). Synthesis of the minimum L₂-sensitivity realizations of second-order digital filters without iterative calculations. In ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies (pp. 560-565). [5665054] (ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies). https://doi.org/10.1109/ISCIT.2010.5665054

Synthesis of the minimum L₂-sensitivity realizations of second-order digital filters without iterative calculations. / Yamaki, Shunsuke; Abe, Masahide; Kawamata, Masayuki.

ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies. 2010. p. 560-565 5665054 (ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies).

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

Yamaki, S, Abe, M & Kawamata, M 2010, Synthesis of the minimum L₂-sensitivity realizations of second-order digital filters without iterative calculations. in ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies., 5665054, ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies, pp. 560-565, 2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010, Tokyo, Japan, 10/10/26. https://doi.org/10.1109/ISCIT.2010.5665054

Yamaki S, Abe M, Kawamata M. Synthesis of the minimum L₂-sensitivity realizations of second-order digital filters without iterative calculations. In ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies. 2010. p. 560-565. 5665054. (ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies). doi: 10.1109/ISCIT.2010.5665054

Yamaki, Shunsuke ; Abe, Masahide ; Kawamata, Masayuki. / Synthesis of the minimum L₂-sensitivity realizations of second-order digital filters without iterative calculations. ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies. 2010. pp. 560-565 (ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies).

@inproceedings{82b5fa9b444b449195cd96385336c976,

title = "Synthesis of the minimum L2-sensitivity realizations of second-order digital filters without iterative calculations",

abstract = "This paper proposes synthesis of the minimum L2-sensitivity realizations of second-order digital filters without iterative calculations. We restrict ourselves to second-order digital filters and consider three cases of second-order digital filters: complex conjugate poles, distinct real poles, and multiple real poles. We can express the L2-sensitivity by a simple linear combination of exponential functions and formulate the L 2-sensitivity minimization problem by a simple polynomial equation. As a result, we achieve the L2-sensitivity minimization without iterative calculations.",

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

year = "2010",

month = dec,

day = "1",

doi = "10.1109/ISCIT.2010.5665054",

language = "English",

isbn = "9781424470105",

series = "ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies",

pages = "560--565",

booktitle = "ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies",

note = "2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010 ; Conference date: 26-10-2010 Through 29-10-2010",

}

TY - GEN

T1 - Synthesis of the minimum L2-sensitivity realizations of second-order digital filters without iterative calculations

AU - Yamaki, Shunsuke

AU - Abe, Masahide

AU - Kawamata, Masayuki

PY - 2010/12/1

Y1 - 2010/12/1

N2 - This paper proposes synthesis of the minimum L2-sensitivity realizations of second-order digital filters without iterative calculations. We restrict ourselves to second-order digital filters and consider three cases of second-order digital filters: complex conjugate poles, distinct real poles, and multiple real poles. We can express the L2-sensitivity by a simple linear combination of exponential functions and formulate the L 2-sensitivity minimization problem by a simple polynomial equation. As a result, we achieve the L2-sensitivity minimization without iterative calculations.

AB - This paper proposes synthesis of the minimum L2-sensitivity realizations of second-order digital filters without iterative calculations. We restrict ourselves to second-order digital filters and consider three cases of second-order digital filters: complex conjugate poles, distinct real poles, and multiple real poles. We can express the L2-sensitivity by a simple linear combination of exponential functions and formulate the L 2-sensitivity minimization problem by a simple polynomial equation. As a result, we achieve the L2-sensitivity minimization without iterative calculations.

UR - http://www.scopus.com/inward/record.url?scp=78651250551&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78651250551&partnerID=8YFLogxK

U2 - 10.1109/ISCIT.2010.5665054

DO - 10.1109/ISCIT.2010.5665054

M3 - Conference contribution

AN - SCOPUS:78651250551

SN - 9781424470105

T3 - ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies

SP - 560

EP - 565

BT - ISCIT 2010 - 2010 10th International Symposium on Communications and Information Technologies

T2 - 2010 10th International Symposium on Communications and Information Technologies, ISCIT 2010

Y2 - 26 October 2010 through 29 October 2010

ER -