The Lifting Scheme Based on the Second Generation Wavelets  

作　　者：FENG Hui GUO Lanying XIAO Jinsheng 

机构地区：[1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China [2]School of Electronic Information,Wuhan University,Wuhan 430072, Hubei, China

出　　处：《Wuhan University Journal of Natural Sciences》2006年第3期503-506,共4页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foun-dation of China(10101018)

摘　　要：The lifting scheme is a custom design construclion of Biorthogonal wavelets, a fast and efficient method to realize wavelet transform,which provides a wider range of application and efficiently reduces the computing time with its particular frame. This paper aims at introducing the second generation wavelets, begins with traditional Mallat algorithms, illustrates the lifting scheme and brings out the detail steps in the construction of Biorthogonal wavelets. Because of isolating the degrees of freedom remaining the biorthogonality relations, we can fully control over the lifting operators to design the wavelet for a particular application, such as increasing the number of the vanishing moments.The lifting scheme is a custom design construclion of Biorthogonal wavelets, a fast and efficient method to realize wavelet transform,which provides a wider range of application and efficiently reduces the computing time with its particular frame. This paper aims at introducing the second generation wavelets, begins with traditional Mallat algorithms, illustrates the lifting scheme and brings out the detail steps in the construction of Biorthogonal wavelets. Because of isolating the degrees of freedom remaining the biorthogonality relations, we can fully control over the lifting operators to design the wavelet for a particular application, such as increasing the number of the vanishing moments.

关 键 词：lifting scheme the second generation wavelets vanishing moments 

分 类 号：O174.2[理学—数学]