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双向小波的快速分解和重构算法
引用本文:李万社,朱岩. 双向小波的快速分解和重构算法[J]. 汕头大学学报(自然科学版), 2008, 23(4): 1-7
作者姓名:李万社  朱岩
作者单位:陕西师范大学数学与信息科学学院,陕西西安,710062
基金项目:国家自然科学基金资助项目  
摘    要:在杨守志教授提出双向加细函数和双向小波定义,并建立双向多分辨分析的基础上,给出正交双向多分辨分析的定义和双向小波的快速分解和重构算法.

关 键 词:双向加细函数  双向小波  塔式算法  多分辨分析

Fast Algorithm of Two-Direction Wavelet
LI Wan-she,ZHU Yan. Fast Algorithm of Two-Direction Wavelet[J]. Journal of Shantou University(Natural Science Edition), 2008, 23(4): 1-7
Authors:LI Wan-she  ZHU Yan
Affiliation:(College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, Shaanxi, China)
Abstract:The concepts of two-direction refinable function and two-direction wavelet are introduced by Professor Yang Shouzhi in his paper Two-direction refinable functions and two-direction wavelets with dilation factor m.The definition of the two-direction multi-resolution analysis is also given.As the more general situation of the traditional wavelet,the two-direction wavelet plays an important role in signal processing.The definition of orthogonal two-direction multi-resolution analysis is given and the fast decomposition algorithm and restructuring algorithm are shown.
Keywords:two-direction refinable function  two-direction wavelet  pyramid algorithm  MRA
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