The lifting scheme of 4-channel orthogonal wavelet transforms  

作　　者：PENG Lizhong CHU Xiaoyong 

机构地区：[1]LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China

出　　处：《Progress in Natural Science:Materials International》2006年第1期100-104,共5页自然科学进展·国际材料（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant Nos. 10471002 and 90104004) and Major State Basic Research Development Program of China (Grant No. 1999075105)

摘　　要：The 4-channel smooth wavelets with linear phase and orthogonality are designed from the 2-channel orthogonal wavelets with high transfer vanishing moments. Reversely, for simple lifting scheme of such 4 channel orthogonal wavelet transforms, a new 2-channel orthogonal wavelet associated with this 4-channel wavelet is constructed. The new 2-channel wavelet has at least the same number of vanishing moments as the associated 4-channel one. Finally, by combining the two such 2-channel wavelet systems, the lifting scheme of 4-channel orthogonal wavelet transform, which has simple structure and is easy to apply, is presented.4 隧道有线性阶段和 orthogonality 的光滑的小浪从有高度的直角的小浪转移的 2 隧道被设计消失的时刻。为直角的小浪转变的如此的 4 隧道的简单上升计划，相对地，直角的小浪与这 4 隧道小浪联系了的新 2 隧道被构造。新 2 隧道小浪在契约有象联系 4 隧道那的消失的时刻的一样的数字。最后由联合二个如此的 2 隧道小浪系统， 4 隧道的上升计划直角的小浪变换，有简单结构并且是容易的适用，被介绍。

关 键 词：lifting scheme 4-channel orthogonal wavelet 2-channel orthogonal wavelet vanishing moment transfer vanishingmoment linear phase 

分 类 号：TN91[电子电信—通信与信息系统]