DocumentCode
1232208
Title
Explicit Expressions of Balanced Realizations of Second-Order Digital Filters With Real Poles
Author
Yamaki, Shunsuke ; Abe, Masahide ; Kawamata, Masayuki
Author_Institution
Dept. of Electron. Eng., Tohoku Univ., Sendai
Volume
15
fYear
2008
fDate
6/30/1905 12:00:00 AM
Firstpage
465
Lastpage
468
Abstract
This letter presents explicit expressions of the balanced realization of second-order digital filters with real poles. We consider two cases of second-order digital filters: that of real and distinct poles and that of real and multiple poles. Simple formulas are derived for the synthesis of the balanced realizations of these second-order digital filters.
Keywords
digital filters; poles and zeros; real-distinct poles; second-order digital filter; Controllability; Covariance matrix; Digital filters; Digital signal processing; Limit-cycles; Observability; Signal processing algorithms; Signal synthesis; Stability; Transfer functions; Balanced realizations; explicit expressions; state–space digital filters;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2008.921479
Filename
4529233
Link To Document