Study on Prefilter and Balancing of Biorthogonal Multi-Wavelets

程蓉; 李万社

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Study on Prefilter and Balancing of Biorthogonal Multi-Wavelets

更新时间：2026-09-14

- Study on Prefilter and Balancing of Biorthogonal Multi-Wavelets
- 双正交多小波的预滤波与平衡性研究
- Issue S1, Pages: 4-8(2007)
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- Published：2007
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程蓉, 李万社. Study on Prefilter and Balancing of Biorthogonal Multi-Wavelets[J]. 2007, (S1): 4-8.
DOI：

程蓉, 李万社. Study on Prefilter and Balancing of Biorthogonal Multi-Wavelets[J]. 2007, (S1): 4-8. DOI：

摘要

对一般的双正交多小波系统

给出了阶平衡的较为简单的定义

并将预滤波理论引入双正交多小波滤波器组.从Hermite Cubics出发阐明了预滤波过程

并得到一组新的具有一阶平衡性的双正交多小波.

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references

Lebrun J,Vetterli M.Balanced multiwavelets theory and design[J].IEEE Transactions on Signal Processing.1998,46(4):1119-1125.

Lebrun J,Vetterli M.High-order balanced multiwavelets:theory,factorization,and design[J].IEEE Transactionson Signal Processing.2001,49(9):1918-1929.

Xia X G,Geronimo J S,Hardin D P,et al.W.Design of prefilters for discrete multiwavelet transforms[J].IEEETransactions on Signal Processing.1996,44(1):25-35.

Xia X G.A new prefilter design for discrete multiwavelet transforms[J].IEEE Transactions on Signal Processing.1998,46(6):1558-1570.

崔丽鸿,程正兴.双正交多小波的平衡及构造[J].工程数学学报,2004,21(1):7-12.

Strela V.Multiwavelets:theory and applications[D].Department of Mathematics,Massachusetts Institute of Tech-nology,Cambridge,MA,1996.

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