a尺度紧支撑插值正交多小波的平衡性
BALANCING OF COMPACTLY SUPPORTED INTERPOLATORY ORTHONORMAL MULTIWAVELETS WITH SCALE=a
查看参考文献12篇
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文摘
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基于2尺度r重多尺度函数的逼近性理论,证明了关于a尺度r重多尺度函数的逼近性定理;结合a尺度a重紧支撑插值正交多小波的构造理论和对a尺度正交多小波的高阶平衡性的定义,证明了a尺度a重紧支撑插值正交多尺度函数的平衡阶与它的逼近阶是相同的.通过例子对理论结果进行了验证. |
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其他语种文摘
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Based on the approximation theory of r-multiscaling functions with scale factor 2,proved an approximation order theorem about the r-multiscaling functions with scale factor a; Combining with the construction theory of the compactly supported interpolatory orthonormal a-multiwavelets with scale factor a and the definition of high order balance of orthonormal multiwavelets with scale factor a,proved that the balance order of the compactly supported interpolatory orthonormal a-multiscaling functions with scale factor a is equal to its the approximation order.Verifying the theoretic result by means of an example. |
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来源
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数值计算与计算机应用
,2009,30(1):10-20 【核心库】
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关键词
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多小波
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插值
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正交性
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逼近性
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平衡性
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地址
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1.
中山大学数学与计算科学学院, 广东, 广州, 510275
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湖南工业大学理学院, 湖南, 株洲, 412008
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-3266 |
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学科
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自动化技术、计算机技术 |
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基金
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湖南省教育厅项目
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文献收藏号
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CSCD:3517889
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参考文献 共
12
共1页
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