学术
摘 要:
引进对应于2尺度向量值尺度函数的多分辨分析和向量值小波的概念．给出向量值小波包的定义及其构造算法，研究了向量值正交小波包的正交性，并讨论了空间L^2（R，C^N）的正交分解．[著者文摘]
文章出处:
《应用数学》-2005年18卷4期 -505-511页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2005）04-0505-07
Orthogonal Vector-valued Wavelet Packets
CHEN Qing-jiang , CHENG Zheng-xing , YANG Shou-zhi （ 1. Department of Mathematics, Xi＇an J iaotong University, Xi＇a n 710049, China;2. epartment of Mathematics, Shantou University, Shantou 515063, China）
Abstract:
In this paper, we introduce vector-valued muhiresolution analysis and vector-valued wavelets associated with two-scale vector-valued scaling functions. First, the notion for orthogonal vector-valued wavelet packets is defined and an algorithm for constructing them is proposed. Next, the orthogonality property for vector-valued wavelet packets has been studied. Finally,the orthogonal decomposition for L^2 （R,C^N） using the orthogonal wavelet packet bases is given.[著者文摘]
Key words:
Vector-valued multiresolution analysis ; Vector-valued scaling functions ;Vector-valued wavelet packets; Refinement equation ; Matrix symbol
基金资助:
河南省科委自然科学基金项目（984051900）,河南省教委自然科学基金项目（98110015）
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