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Design of smooth orthogonal wavelets with beautiful structure from 2-band to 4-band 被引量：1

Design of smooth orthogonal wavelets with beautiful structure from 2-band to 4-band
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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.
作者 PENG Lizhong CHU Xiaoyong
机构地区 LMAM
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).
关键词 transfer vanishing moment 4-band wavelet system beautiful structure. transfer vanishing moment, 4-band wavelet system, beautiful structure.
分类号 O174.2 [理学—基础数学]
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  • 4[4]Chui, C., Lian, J. A., Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale=3, Appl. Comput. Harmon. Anal., 1995, 2: 68-84.
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  • 8[8]Heller, P. N., Resnikoff, H. L, Wells, Jr. R. O., Wavelet Matrices and the Representation of Discrete Functions:A Tutorial in Theory and Applications, Cambridge, MA: Academic Press, 1992, 15-50.

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Science in China(Series F)
2006年 第1期

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