| 矩阵伸缩半正交框架小波 |
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| 引用本文： | 刘占卫,李金周.矩阵伸缩半正交框架小波[J].河南科学,2008,26(8). |
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| 作者姓名： | 刘占卫 李金周 |
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| 作者单位： | 1. 信息工程大学,信息工程学院,郑州,450002
2. 洛阳师范学院,数学科学学院,河南,洛阳,471022 |
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| 摘 要： | 研究了L2(Rd)中A伸缩半正交框架小波,这里的A是行列式取值自然数的任意d×d扩展矩阵.得到了具有附加条件的框架小波为半正交的充要条件,给出了半正交框架小波成立的必要条件.
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| 关 键 词： | 扩展矩阵 框架 框架小波 半正交框架小波 |
Semi-Orthogonal Frame Wavelets Associated with Dilation Matrix |
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| Liu Zhanwei,Li Jinzhou.Semi-Orthogonal Frame Wavelets Associated with Dilation Matrix[J].Henan Science,2008,26(8). |
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| Authors: | Liu Zhanwei Li Jinzhou |
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| Institution: | Liu Zhanwei1,Li Jinzhou2(1.College of Information Engineering,University of Information Engineering,Zhengzhou 450002,China,2.College of Mathematical Sciences,Luoyang Normal Univesity,Luoyang 471022,Henan China) |
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| Abstract: | In this paper,we study semi-orthogonal frame wavelets(PFWs) in L2(Rd) with A dilations,where A is an arbitrary expanding d×d matrix,such that│det A│= c,c∈N.Firstly,we obtain a necessary and sufficient condition for a frame wavelet with addition conditions to be a semi-orthogonal frame wavelet.Then,we present a necessary condition for the semi-orthogonal frame wavelets. |
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| Keywords: | expanding matrix frame frame wavelet semi-orthogonal frame wavelets |
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