A Closed Form Solution to L_2-Sensitivity Minimization of Second-Order State-Space Digital Filters Subject to L_2-Scaling Constraints
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概要
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This paper proposes a closed form solution to L2-sensitivity minimization of second-order state-space digital filters subject to L2-scaling constraints. The proposed approach reduces the constrained optimization problem to an unconstrained optimization problem by appropriate variable transformation. Furthermore, restricting ourselves to the case of second-order state-space digital filters, we can express the L2-sensitivity by a simple linear combination of exponential functions and formulate the L2-sensitivity minimization problem by a simple polynomial equation. As a result, L2-sensitivity is expressed in closed, form, and its minimization subject to L2-scaling constraints is achieved without iterative calculations.
- （社）電子情報通信学会の論文
- 2008-07-01
著者
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Abe Masahide
Department Of Electronic Engineering Graduate School Of Engineering Tohoku University
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Kawamata Masayuki
Department Of Electronic Engineering Graduate School Of Engineering Tohoku University
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YAMAKI Shunsuke
International Advanced Research and Education Organization, Tohoku University
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YAMAKI Shunsuke
Department of Electronic Engineering, Graduate School of Engineering, Tohoku University
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Yamaki Shunsuke
International Advanced Research And Education Organization Tohoku University
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