TY - GEN
T1 - A closed form solution to L2-sensitivity minimization of second-order digital filters subject to L2-scaling constraints
AU - Yamaki, Shunsuke
AU - Abe, Masahide
AU - Kawamata, Masayuki
PY - 2006
Y1 - 2006
N2 - L2-sensitivity is one of the functions that evaluates the coefficient quantization effects of state-space digital filters. This paper proposes a closed form solution to L2-sensitivity minimization of 2nd-order state-space digital filters subject to L2-scaling constraints. The proposed solution reduces a constrained optimization problem to an unconstrained optimization problem by appropriate variable transformation. Futhermore, by restricting ourselves to the case of 2nd-order state-space digital filters, we can formulate the L2-sensitivity minimization problem via hyperbolic functions. As a result, we can express the L 2-sensitivity in closed form, whose minimization subject to L 2-scaling constraints is achieved without iterative calculations.
AB - L2-sensitivity is one of the functions that evaluates the coefficient quantization effects of state-space digital filters. This paper proposes a closed form solution to L2-sensitivity minimization of 2nd-order state-space digital filters subject to L2-scaling constraints. The proposed solution reduces a constrained optimization problem to an unconstrained optimization problem by appropriate variable transformation. Futhermore, by restricting ourselves to the case of 2nd-order state-space digital filters, we can formulate the L2-sensitivity minimization problem via hyperbolic functions. As a result, we can express the L 2-sensitivity in closed form, whose minimization subject to L 2-scaling constraints is achieved without iterative calculations.
UR - http://www.scopus.com/inward/record.url?scp=50249150248&partnerID=8YFLogxK
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U2 - 10.1109/APCCAS.2006.342361
DO - 10.1109/APCCAS.2006.342361
M3 - Conference contribution
AN - SCOPUS:50249150248
SN - 1424403871
SN - 9781424403875
T3 - IEEE Asia-Pacific Conference on Circuits and Systems, Proceedings, APCCAS
SP - 1216
EP - 1219
BT - APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
T2 - APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
Y2 - 4 December 2006 through 6 December 2006
ER -