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

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Abstract

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.

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Authors and Affiliations

  1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Peng Lizhong & Chu Xiaoyong

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  1. Peng Lizhong
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  2. Chu Xiaoyong
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Correspondence to Peng Lizhong.

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Peng, L., Chu, X. Design of smooth orthogonal wavelets with beautiful structure from 2-band to 4-band. SCI CHINA SER F 49, 128–137 (2006). https://doi.org/10.1007/s11432-004-5259-y

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  • DOI: https://doi.org/10.1007/s11432-004-5259-y

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