TY - GEN
T1 - A closed form solution to L2-sensitivity minimization of second-order state-space digital filters
AU - Yamaki, Shunsuke
AU - Abe, Masahide
AU - Kawamata, Masayuki
PY - 2006
Y1 - 2006
N2 - This paper proposes a closed form solution to L2-sensitivity minimization of second-order state-space digital filters. Restricting ourselves to the 2-nd order case of state-space digital filters, we can formulate L 2-sensitivity minimization problem by hyperbolic functions. As a result, L2-sensitivity minimization problem can be converted into a problem to find the solution to a 4-th degree polynomial equation of constant coefficients, which can be algebraically solved in closed form without iterative calculations.
AB - This paper proposes a closed form solution to L2-sensitivity minimization of second-order state-space digital filters. Restricting ourselves to the 2-nd order case of state-space digital filters, we can formulate L 2-sensitivity minimization problem by hyperbolic functions. As a result, L2-sensitivity minimization problem can be converted into a problem to find the solution to a 4-th degree polynomial equation of constant coefficients, which can be algebraically solved in closed form without iterative calculations.
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M3 - Conference contribution
AN - SCOPUS:34547336535
SN - 0780393902
SN - 9780780393905
T3 - Proceedings - IEEE International Symposium on Circuits and Systems
SP - 5223
EP - 5226
BT - ISCAS 2006
T2 - ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems
Y2 - 21 May 2006 through 24 May 2006
ER -