Paley-Wiener Multiresolution Analysis and Paley-Wiener Wavelet Frame
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概要
- 論文の詳細を見る
We propose concepts of Paley-Wiener multiresolution analysis and Paley-Wiener wavelet frame based on general, not limited to dyadic, dilations of functions. Such a wavelet frame is an extension both of the Shannon wavelet basis and the Journe-Meyer wavelet basis. A concept of "natural" Paley-Wiener wavelet frame is also proposed to clarify whether a Paley-Wiener wavelet frame can naturally express functions from the point of view of the multiresolution analysis. A method of constructing a natural Paley-Wiener wavelet frame is given. By using this method, illustrative examples of Paley-Wiener wavelet frames with general scales are provided. Finally, we show that functions can be more efficiently expressed by using a Paley-Wiener wavelet frame with general scales.
- 社団法人電子情報通信学会の論文
- 1997-12-25
著者
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OGAWA Hidemitsu
Department of Computer Science, Graduate School of Information Science and Engineering, Tokyo Instit
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Ogawa H
Tokyo Inst. Technol. Tokyo Jpn
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LI Mang
Department of Information Engineering, Faculty of Engineering, Niigata University
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YAMASHITA Yukihiko
Department of International Development Engineering, Faculty of Engineering, Tokyo Institute of Tech
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Ogawa Hidemitsu
Department Of Computer Science Graduate School Of Information Science And Engineering Tokyo Institut
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Li Mang
Department Of Information Engineering Faculty Of Engineering Niigata University:(present Address)nih
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Yamashita Y
Tokyo Inst. Technol. Tokyo Jpn
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Yamashita Yukihiko
Department Of International Development Engineering Graduate School Of Science And Engineering Tokyo
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