TY - GEN
T1 - Explicit expressions of the balanced realizations for second-order filters
AU - Yamaki, Shunsuke
AU - Abe, Masahide
AU - Kawamata, Masayuki
PY - 2009/12/1
Y1 - 2009/12/1
N2 - 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.
AB - 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.
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U2 - 10.1109/ISPACS.2009.5383814
DO - 10.1109/ISPACS.2009.5383814
M3 - Conference contribution
AN - SCOPUS:77949876495
SN - 9781424450169
T3 - ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings
SP - 417
EP - 420
BT - ISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings
T2 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, ISPACS 2009
Y2 - 7 December 2009 through 9 December 2009
ER -