4-带紧支对称小波框架的构造

陈勇,王国秋

系统科学与数学 ›› 2014, Vol. 34 ›› Issue (6) : 718-723.

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PDF(284 KB)
系统科学与数学 ›› 2014, Vol. 34 ›› Issue (6) : 718-723. DOI: 10.12341/jssms12353
论文

 4-带紧支对称小波框架的构造

    陈勇1,王国秋2
作者信息 +

CONSTRUCTION OF 4-BAND COMPACTLY SUPPORTED SYMMETRIC WAVELET FRAME

    CHEN Yong1 , WANG Guoqiu2
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文章历史 +

摘要

通过研究M-带对称尺紧支度滤波器的分解形式,得到了一种简单的构造方法. 特别地, 给出了4-带对称紧支尺度滤波器的构造方法. 然后基于酉扩充原则构造了一类4-带紧支对称小波框架系统,利用这种系统可以得到彭立中等(2004)介绍的具有优美结构的小波.

Abstract

By studying the factorization of the M-band compactly supported sym-metric scaling filter, a simple method of construction is gained. Particularly, the
4-band compactly supported symmetric scaling filter is constructed. Then, the 4- band compactly supported symmetric wavelet frame system are given with the UEP. Based on this system, the beautiful structure wavelet which introduced by Peng, et al. (2004) is obtained.

关键词

小波框架 / 尺度滤波器 / 小波滤波器.

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陈勇,王国秋.  4-带紧支对称小波框架的构造. 系统科学与数学, 2014, 34(6): 718-723. https://doi.org/10.12341/jssms12353
CHEN Yong , WANG Guoqiu. CONSTRUCTION OF 4-BAND COMPACTLY SUPPORTED SYMMETRIC WAVELET FRAME. Journal of Systems Science and Mathematical Sciences, 2014, 34(6): 718-723 https://doi.org/10.12341/jssms12353
中图分类号: 42C40    65T60   
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