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   作者單位： LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China  刊 名： 中國科學F輯（英文版）  SCI 英文刊名： SCIENCE IN CHINA SERIES F:INFORMATION SCIENCES  年，卷(期)： 2006 49(1)  分類號： O4  關鍵詞： transfer vanishing moment   4-band wavelet system   beautiful structure  

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