Design of smooth orthogonal wavelets with beautiful structure from 2-band to 4-band  

作　　者：PENG Lizhong CHU Xiaoyong 

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

出　　处：《Science in China(Series F)》2006年第1期128-136,共9页中国科学（F辑英文版）

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

摘　　要：A complete algorithm to design 4-band orthogonal wavelets with beautiful structure from 2-band orthogonal wavelets is presented. For more smoothness, the conception of transfer vanishing moment is introduced by transplanting the requirements of vanishing moment from the 4-band wavelets to the 2-band ones. Consequently, the design of 4-band orthogonal wavelets with P vanishing moments and beautiful structure from 2-band ones with P transfer vanishing moments is completed.A complete algorithm to design 4-band orthogonal wavelets with beautiful structure from 2-band orthogonal wavelets is presented. For more smoothness, the conception of transfer vanishing moment is introduced by transplanting the requirements of vanishing moment from the 4-band wavelets to the 2-band ones. Consequently, the design of 4-band orthogonal wavelets with P vanishing moments and beautiful structure from 2-band ones with P transfer vanishing moments is completed.

关 键 词：transfer vanishing moment 4-band wavelet system beautiful structure. 

分 类 号：O174.2[理学—数学]