| 基于准确重建滤波器组的小波构造 |
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| 引用本文： | 吴传生,吴岑,熊章绪.基于准确重建滤波器组的小波构造[J].武汉理工大学学报,2006,28(3):97-99. |
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| 作者姓名： | 吴传生 吴岑 熊章绪 |
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| 作者单位： | 1. 武汉理工大学理学院,武汉,430070
2. 湖北经济学院经济信息系,武汉,430205 |
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| 摘 要： | 小波应用领域广泛，因此对具有良好特性的新小波需求很大。传统的小波构造方法复杂，不利于构造各类适合不同问题求解的小波。分析了准确重建滤波器组的双正交性，基于准确重建滤波器组构造了一类新小波，并在紧支撑区间上得到尺度函数、小波函数、对偶尺度函数和对偶小波函数的图形。
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| 关 键 词： | 准确重建 滤波器组 双正交小波 |
| 文章编号： | 1671-4431(2006)03-0097-03 |
| 修稿时间： | 2005年11月5日 |
Wavelet Construction Based on Perfect Reconstruction Filter Banks |
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| WU Chuan-sheng,WU Cen,XIONG Zhang-xu.Wavelet Construction Based on Perfect Reconstruction Filter Banks[J].Journal of Wuhan University of Technology,2006,28(3):97-99. |
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| Authors: | WU Chuan-sheng WU Cen XIONG Zhang-xu |
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| Abstract: | The new wavelets of satisfactory characteristics were in great needs,for wavelets can be applied in vast fields.Traditional wavelets construction methods were complex and consequently are not favorable for creating various types of wavelets,which can be used to solve different problems.The biorthogonal property of the perfect reconstruction filter banks was analysed and build a new class of wavelets based on the perfect reconstruction filter banks.The scaling function,wavelet function,dual scaling function and dual wavelet function were obtained on the compact support. |
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| Keywords: | perfect reconstruction filter banks biorthogonal wavelets |
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