| a尺度r重区间正交多小波的构造 |
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| 引用本文： | 赵英敏,黄永东.a尺度r重区间正交多小波的构造[J].云南大学学报(自然科学版),2010,32(3):258-266. |
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| 作者姓名： | 赵英敏 黄永东 |
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| 作者单位： | 北方民族大学信息与系统科学研究所, 宁夏银川 750021 |
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| 摘 要： | 基于L2(R)上的紧支撑正交多尺度函数和多小波的构造思想与方法,探讨了任意支撑长度γ的a尺度r重区间多小波系统的构造理论与性质.给出了区间0,1]上a尺度r重正交多小波的构造方法,得到了区间多小波的参数化表示;并且给出区间多小波的构造算例.
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| 关 键 词： | 正交性 正交多尺度函数 多小波 区间多小波 |
Construction of orthogonal interval multiwavelets with multiplicity r and dilation factor a |
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| ZHAO Ying-min,HUANG Yong-dong.Construction of orthogonal interval multiwavelets with multiplicity r and dilation factor a[J].Journal of Yunnan University(Natural Sciences),2010,32(3):258-266. |
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| Authors: | ZHAO Ying-min HUANG Yong-dong |
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| Affiliation: | Institute of Information and System Science, The North University for Ethnics, Yinchuan 750021, China |
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| Abstract: | Based on the method and constructional idea of tight supported orthogonal multiscaling function and multiwavelets on L2(R),we study the properties and constructional theories with any tight supported γ,multiplicity r and dilation a on the interval.We introducethe constructional thought of orthogonal multiwavelets with multiplicity r and dilation a on the interval 0,1]and obtain the parametric expressions of interval multiwavelets.Inaddition,we proposethe construction examples of interval multiwavelets. |
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