The Research of a Pair of Canonical Frames Yielded by Finitely Supported Refinable Functions

机译：有限支撑精化函数产生的一对规范框架的研究

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Wavelet analysis is a particular time-or space-scale representation of signals which has found a wide range of applications in physics, signal processing and applied Mathematics in the last few years. We show that there exist wavelet frame generated by two functions which have good dual wavelet frames, but for which the canonical dual wavelet frame does not consist of wavelets, according to scaling functions.

机译：小波分析是信号的一种特殊的时空表示形式，在过去的几年中，小波分析已在物理学，信号处理和应用数学中得到了广泛的应用。我们证明了存在由两个函数生成的小波帧，这些函数具有良好的对偶小波帧，但根据缩放函数，规范对偶小波帧不包含小波。

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《ICF4C 2011;International conference on future communication, computing, control and management》|2012年|p.99-107|共9页
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作者
Hailin Gao;
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正文语种
中图分类通信;
关键词
dual pseudoframes; bivariate; orthogonal pseudoframes; banach frames; frame operator.wavelet frame; the canonical wavelet frame; scaling functions; composite matrix; time-frequency analysis method;

机译：双伪帧;双变量正交伪帧;香蕉架小波框架典型小波框架;缩放功能;复合矩阵时频分析法;

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The Research of a Pair of Canonical Frames Yielded by Finitely Supported Refinable Functions

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