多进紧支对称小波尺度函数构造及性质

全宏跃;王国秋;

数学学报 ›› 2009 ›› Issue (04) : 129-140.

数学学报 ›› 2009 ›› Issue (04) : 129-140. DOI: 10.12386/A2009sxxb0091
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多进紧支对称小波尺度函数构造及性质

    全宏跃;王国秋;
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On the Construction and Property of Symmetric Orthogonal Multi-Band Scaling Functions

    Hong Yue QUAN College of Mathematics and Computer Science, Hu'nan Normal University,Changsha 410081,P.R.China College of Mathematics and Computing Science,Changsha University of Science and Technology, Changsha 410076,P.R.China Guo Qiu WANG College of Mat
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摘要

为了克服2进小波的缺陷和拓宽小波的应用,探索了具有任意正则阶正交对称多进小波尺度函数构造的一般方法.讨论了尺度序列与尺度函数性质之间对应关系,得到了正则阶一定条件下最短支集正交对称多进小波尺度函数对应尺度序列构造程序.

Abstract

In order to overcome some of the shortcomings of 2-band wavelet and develop application of wavelet,we provide a general way for constructing symmetric orthogonal multi-band scaling function.The characterizations of scaling function and scaling sequence are considered.A scheme for constructing scaling sequence of shortest length with a given regularity order m is obtained lastly.

关键词

多进小波 / 尺度函数 / 尺度序列

Key words

scale sequence / multi-band wavelet / scaling function

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全宏跃;王国秋;. 多进紧支对称小波尺度函数构造及性质. 数学学报, 2009(04): 129-140 https://doi.org/10.12386/A2009sxxb0091
Hong Yue QUAN College of Mathematics and Computer Science, Hu'nan Normal University,Changsha 410081,P.R.China College of Mathematics and Computing Science,Changsha University of Science and Technology, Changsha 410076,P.R.China Guo Qiu WANG College of Mat. On the Construction and Property of Symmetric Orthogonal Multi-Band Scaling Functions. Acta Mathematica Sinica, Chinese Series, 2009(04): 129-140 https://doi.org/10.12386/A2009sxxb0091

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