This paper derives the balanced realizations of second-order analog filters directly from the transfer function. Second-order analog 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 of second-order analog filters. As a result, we obtain closed form expressions of the balanced realizations of second-order analog filters.
Shunsuke YAMAKI
Tohoku University
Masahide ABE
Tohoku University
Masayuki KAWAMATA
Tohoku University
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Shunsuke YAMAKI, Masahide ABE, Masayuki KAWAMATA, "Closed Form Expressions of Balanced Realizations of Second-Order Analog Filters" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 2, pp. 565-571, February 2014, doi: 10.1587/transfun.E97.A.565.
Abstract: This paper derives the balanced realizations of second-order analog filters directly from the transfer function. Second-order analog 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 of second-order analog filters. As a result, we obtain closed form expressions of the balanced realizations of second-order analog filters.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.565/_p
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@ARTICLE{e97-a_2_565,
author={Shunsuke YAMAKI, Masahide ABE, Masayuki KAWAMATA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Closed Form Expressions of Balanced Realizations of Second-Order Analog Filters},
year={2014},
volume={E97-A},
number={2},
pages={565-571},
abstract={This paper derives the balanced realizations of second-order analog filters directly from the transfer function. Second-order analog 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 of second-order analog filters. As a result, we obtain closed form expressions of the balanced realizations of second-order analog filters.},
keywords={},
doi={10.1587/transfun.E97.A.565},
ISSN={1745-1337},
month={February},}
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TY - JOUR
TI - Closed Form Expressions of Balanced Realizations of Second-Order Analog Filters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 565
EP - 571
AU - Shunsuke YAMAKI
AU - Masahide ABE
AU - Masayuki KAWAMATA
PY - 2014
DO - 10.1587/transfun.E97.A.565
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2014
AB - This paper derives the balanced realizations of second-order analog filters directly from the transfer function. Second-order analog 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 of second-order analog filters. As a result, we obtain closed form expressions of the balanced realizations of second-order analog filters.
ER -