| 高次Walsh系与高次Haar系 |
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| 引用本文： | 熊刚强,齐东旭. 高次Walsh系与高次Haar系[J]. 宁夏大学学报(自然科学版), 2011, 32(2): 109-115 |
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| 作者姓名： | 熊刚强 齐东旭 |
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| 作者单位： | 1. 广东医学院信息工程学院,广东东莞,523808
2. 中山大学信息科学与技术学院,广东广州510275;澳门科技大学资讯科技学院,澳门 |
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| 基金项目： | 国家自然科学基金资助项目(10631080); 国家重点基础研究发展计划(973)项目(2011CB302400); 澳门科学发展基金资助项目(045/2006/A) |
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| 摘 要： | 高次Walsh系的基函数表达式非常复杂,计算困难.为了简化计算,通过建立高次Walsh系与高次Haar系之间的显式公式,且由于高次Haar系是一类L2([0,1])上的分段多项式多小波,从而获得由多项式多小波的级联算法计算高次Haar变换与高次Walsh变换的方案.同时,推导出计算高次Walsh变换与高次Walsh基函...
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| 关 键 词： | 高次Walsh系 高次Haar系 分段多项式正交系 多小波 级联算法 |
Walsh System with Higher Degree and Haar System with Higher Degree |
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| Xiong Gangqiang,Qi Dongxu. Walsh System with Higher Degree and Haar System with Higher Degree[J]. Journal of Ningxia University(Natural Science Edition), 2011, 32(2): 109-115 |
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| Authors: | Xiong Gangqiang Qi Dongxu |
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| Affiliation: | Xiong Gangqiang1,Qi Dongxu2,3(1.School of Information Engeering,Guangdong Medical College,Dongguan 523808,China,2.School of Information Science and Technology,Sun Yat-Sen University,Guangzhou 510275,3.School of Information Technology,Macao University of Science and Technology,Macao,China) |
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| Abstract: | The basis expressions with Walsh system with higher degree are very complex,and its calculation is very difficult.In order to simplify its calculation,the explicit formula for the relation between Walsh system with higher degree and Haar system with higher degree is established.Because Haar system with higher degree is a class of piecewise polynomial multiwavelets in L2(),the cascade algorithms of Walsh transformation with higher degree and Haar transformation with higher degree are obtained by using the mu... |
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| Keywords: | Walsh system with higher degree Haar system with higher degree orthonormal piecewise polynomials system multiwavelets cascade algorithm |
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