基于对称延拓的纯二维双正交偶对称小波变换  

True Two-Dimensional Even Symmetric Biorthogonal Wavelet Transform Based on Symmetric Extension

作　　者：谢玉芯[1] 杨雪玲[1] 王静[1] 

机构地区：[1]天津工业大学电子与信息工程学院,天津300387

出　　处：《数据采集与处理》2012年第5期586-594,共9页Journal of Data Acquisition and Processing

基　　金：国家自然科学基金(60602036)资助项目

摘　　要：研究了对称延拓在纯二维双正交偶对称小波变换中的应用,由纯二维小波滤波器组和对称延拓的性质推导出了小波分解后4个子带的公式。这些公式归纳了多级分解时,任意起点和任意长度的原始数据进行分解后,4个子带的周期和对称关系。最后给出了纯二维5/3小波变换的一个实例来具体说明其应用方法。The symmetric extension is studied when applying in true two-dimensional（2-D） even symmetric biorthogonal wavelet transform.According to the characteristics of true 2-D wavelet filter banks and symmetric extension,the formulas of four sub-band after wavelet decomposition are deduced.These formulas summarize the original data of any start point and any length at multi-level decomposition,and obtain the cycle and symmetric relation of the four sub-bands.Finally,a true 2-D 5/3 wavelet transform is taken as an example to illustrate the practical application of specific methods.

关 键 词：纯二维小波 对称延拓 小波分解 

分 类 号：TN911.72[电子电信—通信与信息系统]