Paley-Wiener multiresolution analysis and Paley-Wiener wavelet frame

被引：0

作者：

Li, M ^{[1
]}

Ogawa, H

Yamashita, Y

机构：

[1] Niigata Univ, Fac Engn, Dept Informat Engn, Niigata 95021, Japan

[2] Tokyo Inst Technol, Grad Sch Informat Sci & Engn, Dept Comp Sci, Tokyo 152, Japan

[3] Tokyo Inst Technol, Fac Engn, Dept Int Dev Engn, Tokyo 152, Japan

来源：

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 1997年 / E80A卷 / 12期

关键词：

multiresolution analysis; Paley-Wiener multiresolution analysis; wavelet; Paley-Wiener wavelet frame; natural Paley-Wiener wavelet frame; Shannon wavelet basis; Journe-Meyer wavelet basis; dual frame;

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：2555 / 2561

页数：7

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