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
fDate :
6/30/1905 12:00:00 AM
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;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2008.921479
