首页> 外文会议>International Conference on Wavelet Analysis and Pattern Recognition >A STUDY OF MULTIPLE VECTOR-VALUED WAVELET PACKETS ASSO-CIATED WITH A DILATION MATRIX IN HIGHER DIMENSIONS
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A STUDY OF MULTIPLE VECTOR-VALUED WAVELET PACKETS ASSO-CIATED WITH A DILATION MATRIX IN HIGHER DIMENSIONS

机译:具有较高尺寸中扩张矩阵相关的多个载体值小波包的研究

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In this paper, the notion of multiple vector-valued multiresolution analysis of space L{sup}2(R{sup}s,C{sup}(r×r)) is introduced. A method for constructing biorthogonal multiple vector-valued wavelet packets in higher dimensions is presented and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. Three biorthogonality formulas concerning these wavelet packets are obtained. Finally, new Riesz bases of space L{sup}2(R{sup}s,C{sup}(r×r)) is obtained by constructing a series of subspaces of biorthogonal vector-valued wavelet packets.
机译:在本文中,引入了空间L {SUP} 2(R {SUP} 2(R {SUP} S,C×C {SUP}(R×R))的多个矢量值多分辨率分析的概念。提出了一种用于构建较高尺寸的双正交多向量子值小波包的方法,并通过时频分析方法,矩阵理论和操作员理论研究其性质。获得了有关这些小波包的三个双正交性公式。最后,通过构建一系列双正交矢量值小波包来获得新的空间L {SUP} 2(R {SUP} 2(R {SUP)2(R {SUP} S,C {SUP}(R×R))。

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