離散時間系IIRフィルタの最適FIR近似
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- 山本 裕
- 京都大学情報学研究科
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- Anderson Brian D. O.
- Research School of Imformation Science and Engineering, Australian National University
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- 永原 正章
- 京都大学情報学研究科
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- 小柳 容子
- 京都大学情報学研究科
書誌事項
- タイトル別名
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- Optimal FIR Approximation for Discrete-Time IIR Filters
説明
FIR (Finite Impulse Response) filters are preparred to IIR (Imfinite Impulse Response) filters, because of their stabilities or realizations and so on. This paper supposes a new method to approximate an IIR filter by an FIR filter, which directly deal with optimal approximation with respect to the H∞ error norm. There is an elegant way called Nehari Shuffle which makes use of what is called Nehari extention theorem, but it dosen’t necessarily give an optimal approximation with respect to H∞ norm. In cotrast to it, we regard this optimal approximated problem as the minimization problem of the error between a IIR filter and a FIR filter with respect to H∞ norm, and show this problem reduces an LMI (Linear Matrix Inequality). We also introduce this problem depends on the choice of weighting functions. Finally, we show them with numerical examples.
収録刊行物
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- 計測自動制御学会 部門大会／部門学術講演会資料
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計測自動制御学会 部門大会／部門学術講演会資料 cs2 (0), 17-17, 2002
公益社団法人 計測自動制御学会
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詳細情報 詳細情報について
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- CRID
- 1390282680538773632
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- NII論文ID
- 130006959064
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- データソース種別
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- JaLC
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可
