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紧支撑多重向量值正交小波的构造

Construction of Compactly Supported Orthogonal Multiple Vector-valued Wavelets
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摘要 通过引进向量值多分辩分析与多重向量值正交小波的概念,运用仿酉向量滤波器理论与傅立叶变换,得到多重向量值正交小波函数存在的充要条件,利用多分辩分析方法与矩阵理论,由给定的适合某些条件的若干个紧支撑向量值正交尺度函数,来构造多重向量值正交小波函数,给出一类紧支撑多重向量值正交小波的构造算法,并给出一个相应的构造算例. City distribution network is getting more complex as a result of the use of a great many new switchgears. Using object - oriented technology （OOT）, a complex network can be simplified a simple reliability calculation equivalent network. Based on the radiation characteristic of distribution network, tree data storage structure is put forward in this paper. A reliability calculation program is developed. The algorithm is verified through applying it to a typical sample. Six connecting modes are compared. The difference between some normal measures of raising reliability are mentioned.
作者 陈清江 冯金顺 程正兴
机构地区 西安交通大学理学院 南阳理工学院基础教育学院
出处 《郑州大学学报（工学版）》 CAS 2005年第4期102-106,共5页 Journal of Zhengzhou University（Engineering Science）
基金 河南省自然科学基金项目(0211044800)
关键词 多重向量值 多分辨分析 尺度函数 正交小波 加细方程 厄米特矩阵 distribution network reliability element data storage structure
分类号 O174.2 [理学—基础数学]
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参考文献8

  • 1TURCAJOVA R. An algorithm for the construction of symmetry orthogonal multiwavelets [J]. SIAM J Anal Appl,2003,25(2) :532 ～ 550.
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  • 8杨守志,唐远炎,程正兴.α尺度紧支撑正交多小波的构造[J].计算数学,2002,24(4):451-460. 被引量：22

二级参考文献9

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共引文献21

郑州大学学报（工学版）
2005年 第4期

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