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ファイル | 記述 | サイズ | フォーマット | |
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j.sigpro.2010.06.015.pdf | 552 kB | Adobe PDF | 見る/開く |
タイトル: | H∞ optimal approximation for causal spline interpolation |
著者: | Nagahara, Masaaki Yamamoto, Y. |
著者名の別形: | 永原, 正章 |
キーワード: | Spline functions Interpolation H∞ optimization |
発行日: | Feb-2011 |
出版者: | Elsevier B.V. |
誌名: | Signal Processing |
巻: | 91 |
号: | 2 |
開始ページ: | 176 |
終了ページ: | 184 |
抄録: | In this paper, we give a causal solution to the problem of spline interpolation using H∞ optimal approximation. Generally speaking, spline interpolation requires filtering the whole sampled data, the past and the future, to reconstruct the inter-sample values. This leads to non-causality of the filter, and this becomes a critical issue for real-time applications. Our objective here is to derive a causal system which approximates spline interpolation by H∞ optimization for the filter. The advantage of H∞ optimization is that it can address uncertainty in the input signals to be interpolated in design, and hence the optimized system has robustness property against signal uncertainty. We give a closed-form solution to the H∞ optimization in the case of the cubic splines. For higher-order splines, the optimal filter can be effectively solved by a numerical computation. We also show that the optimal FIR (finite impulse response) filter can be designed by an LMI (linear matrix inequality), which can also be effectively solved numerically. A design example is presented to illustrate the result. |
著作権等: | © 2010 Elsevier B.V. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 This is not the published version. Please cite only the published version. |
URI: | http://hdl.handle.net/2433/128834 |
DOI(出版社版): | 10.1016/j.sigpro.2010.06.015 |
出現コレクション: | 学術雑誌掲載論文等 |
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