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a尺度r重区间正交多小波的构造 被引量：1

Construction of orthogonal interval multiwavelets with multiplicity r and dilation factor a
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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. 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 introduce the 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 propose the construction examples of interval multiwavelets.
作者 赵英敏 黄永东
机构地区 北方民族大学信息与系统科学研究所
出处 《云南大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第3期258-266,共9页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(10961001) 教育部科学技术研究重点资助项目(209152) 宁夏自然科学基金资助项目(NZ0846)
关键词 正交性 正交多尺度函数 多小波 区间多小波 orthogonality orthogonal multiscaling function multiwavelets interval multiwavelets.
分类号 O174.2 [理学—基础数学]
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参考文献12

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共引文献24

同被引文献12

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云南大学学报（自然科学版）
2010年 第3期

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