摘要
在小波的应用中,合适小波基的选取是非常关键和困难的。该文在完全重构双正交小波基满足必要的条件下,利用现有的小波基,建立了一种构造小波基的通用方法。根据文章给出的结论,只要适当的选择2×2酉矩阵的4个元素,就可以构造出满足特定性质的小波基。
In the applications of wavelet, it is the most important and difficult to select the suitable wavelet bases. In this paper, by using the wavelet that we know and the conditions of perfect reconstruction, we propose a general construction method of biorthogonal bases of perfect reconstruction wavelet. According to the conclusion, something only to do is to choose the suitable four symbols of the unitary matrix, and then we can construct the wavelet bases of perfect reconstruction which has special properties.
出处
《信息工程大学学报》
2006年第3期257-259,共3页
Journal of Information Engineering University
基金
国家自然科学基金资助(60572135)
关键词
多分辨分析
双正交小波基
滤波器
酉矩阵
multiresolution analysis
biorthogonal wavelet bases
filters
unitary matrix
