General frame multiresolution analysis and its wavelet frame representation

被引：0

作者：

Li, M

Ogawa, H

Yamashita, Y

机构：

[1] Tokyo Inst of Technology, Tokyo, Japan

来源：

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 1996年 / E79A卷 / 10期

关键词：

multiresolution analysis; general frame multiresolution analysis; wavelet; GFMRA wavelet frame; generalized affine wavelet frame; 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 a theory of general frame multiresolution analysis (GFMRA) which generalizes both the theory of multiresolution analysis based on an affine orthonormal basis and the theory of frame multiresolution analysis based on an affine frame to a general frame. We also discuss the problem of perfectly representing a function by using a wavelet frame which is not limited to being of affine type. We call it a ''generalized affine wavelet frame.'' We then characterize the GFMRA and provide the necessary and sufficient conditions for the existence of a generalized affine wavelet frame.

引用

页码：1713 / 1721

页数：9

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