Design of smooth orthogonal wavelets with beautiful structure from 2-band to 4-band
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.
作 者： PENG Lizhong CHU Xiaoyong 作者单位： LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China 刊 名： 中国科学F辑（英文版） SCI 英文刊名： SCIENCE IN CHINA SERIES F:INFORMATION SCIENCES 年，卷(期)： 2006 49(1) 分类号： O4 关键词： transfer vanishing moment 4-band wavelet system beautiful structure