Closed Form Solutions to L_2-Sensitivity Minimization of Second-Order State-Space Digital Filters with Real Poles
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概要
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This letter proposes closed form solutions to the L2-sensitivity minimization of second-order state-space digital filters with real poles. We consider two cases of second-order digital filters: distinct real poles and multiple real poles. In case of second-order digital filters, we can express the L2-sensitivity of second-order digital filters by a simple linear combination of exponential functions and formulate the L2-sensitivity minimization problem by a simple polynomial equation. As a result, the minimum L2-sensitivity realizations can be synthesized by only solving a fourth-degree polynomial equation, which can be analytically solved.
- （社）電子情報通信学会の論文
- 2010-05-01
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
International Advanced Research And Education Organization Tohoku University
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