Explicit expressions of the balanced realizations for second-order filters

Shunsuke Yamaki; Masahide Abe; Masayuki Kawamata

doi:10.1109/ISPACS.2009.5383814

Explicit expressions of the balanced realizations for second-order filters

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

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

Abstract

This paper proposes explicit expressions of the balanced realizations of second-order digital and analog filters. We first consider the case of digital filters. Second-order digital filters are categorized into the following three cases: complex conjugate poles, distinct real poles, and multiple real poles. For each case, simple formulas are derived for the synthesis of the balanced realizations. As a result, we obtain explicit expressions of the balanced realizations of all types of second-order digital filters. Furthermore, we show that explicit expressions for second-order digital filters can be applied for also second-order analog filters by simple modifications of definitions of some parameters.

Original language	English
Title of host publication	ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings
Pages	417-420
Number of pages	4
DOIs	https://doi.org/10.1109/ISPACS.2009.5383814
Publication status	Published - 2009 Dec 1
Event	2009 International Symposium on Intelligent Signal Processing and Communication Systems, ISPACS 2009 - Kanazawa, Japan Duration: 2009 Dec 7 → 2009 Dec 9

Publication series

Name	ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings

Other

Other	2009 International Symposium on Intelligent Signal Processing and Communication Systems, ISPACS 2009
Country/Territory	Japan
City	Kanazawa
Period	09/12/7 → 09/12/9

ASJC Scopus subject areas

Computer Networks and Communications
Signal Processing
Electrical and Electronic Engineering
Communication

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10.1109/ISPACS.2009.5383814

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Yamaki, S., Abe, M., & Kawamata, M. (2009). Explicit expressions of the balanced realizations for second-order filters. In ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings (pp. 417-420). [5383814] (ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings). https://doi.org/10.1109/ISPACS.2009.5383814

Explicit expressions of the balanced realizations for second-order filters. / Yamaki, Shunsuke; Abe, Masahide; Kawamata, Masayuki.

ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings. 2009. p. 417-420 5383814 (ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings).

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

Yamaki, S, Abe, M & Kawamata, M 2009, Explicit expressions of the balanced realizations for second-order filters. in ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings., 5383814, ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings, pp. 417-420, 2009 International Symposium on Intelligent Signal Processing and Communication Systems, ISPACS 2009, Kanazawa, Japan, 09/12/7. https://doi.org/10.1109/ISPACS.2009.5383814

Yamaki S, Abe M, Kawamata M. Explicit expressions of the balanced realizations for second-order filters. In ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings. 2009. p. 417-420. 5383814. (ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings). https://doi.org/10.1109/ISPACS.2009.5383814

Yamaki, Shunsuke ; Abe, Masahide ; Kawamata, Masayuki. / Explicit expressions of the balanced realizations for second-order filters. ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings. 2009. pp. 417-420 (ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings).

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Explicit expressions of the balanced realizations for second-order filters

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