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  • 栾丹,丁宣浩.一种B-样条小波的构造[J].广西科学院学报,2007,23(3):138-139,143.    [点击复制]
  • LUAN Dan,DING Xuan-hao.The Construction of a B-spline Wavelet[J].Journal of Guangxi Academy of Sciences,2007,23(3):138-139,143.   [点击复制]
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一种B-样条小波的构造
栾丹1, 丁宣浩2
0
(1.渤海大学数学系, 辽宁锦州 121000;2.桂林电子科技大学数学与计算科学学院, 广西桂林 541004)
摘要:
利用样条函数和多分辨分析构造一类新的样条小波。新构造出的样条小波表达式简单,两尺度序列容易求得。新构造出的小波具有对称性、半正交等优良性质,有利于处理实际问题。
关键词:  小波  B-样条  多分辨分析  传递函数  两尺度序列
DOI:
投稿时间:2007-01-24修订日期:2007-05-21
基金项目:广西研究生教育创新计划项目(2006105950701M03)资助
The Construction of a B-spline Wavelet
LUAN Dan1, DING Xuan-hao2
(1.Department of Mathematics, Bohai University, Jinzhou, Liaoning, 121000, China;2.School of Mathematics and Computer Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China)
Abstract:
A kind of B spline wavelet is constructed by using B-spline function and the idea of multi-resolution analysis(MRA).The new method has simple expressions and the two scales equences are easily obtained in addition to many good properties such as symmetry and semi orthogonal,which is propitious to resolving practical problems.
Key words:  wavelet  B-spline  multi-resolution analysis  transfer function  two scale sequences

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