| 小波构造综述 |
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| 引用本文： | 耿艳峰,冯叔初.小波构造综述[J].中国石油大学学报(自然科学版),2004,28(1). |
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| 作者姓名： | 耿艳峰 冯叔初 |
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| 作者单位： | 1. 石油大学信息与控制工程学院,山东东营,257061
2. 石油大学储运与建筑工程学院,山东东营,257061 |
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| 基金项目： | 中国石油天然气集团公司创新基金资助项目 (W 0 3 0 5 0 1) |
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| 摘 要： | 小波函数的构造是小波理论分析与应用研究的基础 ,不同的小波函数具有不同的光滑性、消失矩、对称性等性能指标。如何根据所处理的信号特征构造或者选择最佳的小波函数、提高信号处理的效率与质量是小波理论与应用研究的目的。文章从小波构造的角度论述了小波理论的发展历程 ,着重论述了几种有代表性的小波构造方法、实现原理及其最新研究进展 ,并用MATLAB语言给出了相应的尺度函数与小波函数图形
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| 关 键 词： | 小波分析 小波构造 尺度函数 小波函数 提升格式 理论研究进展 |
Overview of wavelet construction |
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| GENG Yan-feng and FENG Shu-chu. College of Information and Control Engineering in the University of Petroleum,China,Dongying.Overview of wavelet construction[J].Journal of China University of Petroleum,2004,28(1). |
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| Authors: | GENG Yan-feng and FENG Shu-chu College of Information and Control Engineering in the University of Petroleum China Dongying |
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| Institution: | GENG Yan-feng and FENG Shu-chu. College of Information and Control Engineering in the University of Petroleum,China,Dongying 257061 |
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| Abstract: | The constructions of wavelets or mother wavelet functions are the bases for studying wavelet theory and its application. The different wavelet functions have various properties. Construction of the best wavelet for a given signal and further improvement of the signal processing efficiency and quality are the common aim or interest for theoretical and applied researches. Along with the development of wavelets theory, several methods and their principles and procedures of wavelet construction were discussed in detail. The graphics of scaling function and wavelets function were given with MATLAB 6.0 Language. |
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| Keywords: | wavelet analysis wavelet construction scaling function wavelet function lifting scheme theoretical research progress |
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