The Characterization of Two-direction Vector-valued Wavelets and Its applications in Material Engineering

被引：0

作者：

Chen, Qingjiang ^{[1
]}

Chen, Huan ^{[1
]}

Gao, Hongwei ^{[2
]}

机构：

[1] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China

[2] Yulin Univ, Dept Math, Yulin 719000, Shaanxi, Peoples R China

来源：

FRONTIERS OF MECHANICAL ENGINEERING AND MATERIALS ENGINEERING II, PTS 1 AND 2 | 2014年 / 457-458卷

关键词：

two-direction vector-valued wavelet; vector-valued multiresolution analysis; compact support; wavelet wraps; wavelet frames; orthogonal wrap bases;

D O I：

10.4028/www.scientific.net/AMM.457-458.36

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Material science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. In this work, we study construction and properties of orthogonal two-direction vector-valued wavelet with poly-scale. Firstly, the concepts concerning two-directional vector-valued waelets and wavelet wraps with multi-scale are provided. Secondly, we propose a construction algorim for compactly supported orthogonal two-directional vector-valued wavelets. Lastly, properties of a sort of orthogonal two-directional vector-valued wavelet wraps are characterized by virtue of the matrix theory and the time-frequency analysis method.

引用

页码：36 / 39

页数：4

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