A Study of Vector-valued Binary Scaling Functions and Parseval Frames with Integer Dilation Constant

被引：0
|
作者：
Lv Bingqing [1 ]
Huang Jing [1 ]
机构：
[1] Dongguan Polytech, Dept Basic Course, Dongguan 523808, Peoples R China
来源：
MECHATRONICS AND INDUSTRIAL INFORMATICS, PTS 1-4 | 2013年 / 321-324卷
关键词：
vector-valued binary scaling functions; Fourier transfer; Parseval frames; affine frames; oblique frames; iterative method;
D O I：
10.4028/www.scientific.net/AMM.321-324.980
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Mechanical engineering is a discipline of engineering that applies the principles of physics and materials science for analysis, design, manufacturing, and maintenance of mechanical systems. It is the branch of engineering that involves the production and usage of heat and mechanical power for the design, production, and operation of machines and tools. It is one of the oldest and broadest engineering disciplines. The notion of orthogonal vector-valued binary wavelet packs is introduced. Their traits is investigated by virtue of time-frequency analysis method and finite group theory. Orthogonality formulas are established. Orthonormal wavelet pack bases are obtained. A novel method for constructing a kind of orthogonal shortly supported vector-valued wavelets is presented.
引用
收藏
页码：980 / 983
页数：4
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