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.
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.
出处
《汕头大学学报（自然科学版）》
2008年第4期1-7,15,共8页
Journal of Shantou University：Natural Science Edition
基金
国家自然科学基金资助项目(10571113)
关键词
双向加细函数
双向小波
塔式算法
多分辨分析
two-direction refinable function
two-direction wavelet
pyramid algorithm
MRA
