| 摘要: |
| 混合正交小波基是一种包含多个正交小波函数的正交基，本文在混合正交小波基的基础上构造出混合小波包.传统的小波包可以细化频谱窗口以解决正交小波基在高频区频谱局部性差的缺点，混合小波包不仅具有传统小波包的特点，而且可以在不失正交性的情况下改变小波包函数的形状，从而获得更好的细节匹配.小波包的分解可以在频域上进行，通过使用FFT而达到快速的目的. |
| 关键词: 多分辨分析,混合正交小波基，小波包. |
| DOI： |
| 分类号: |
| 基金项目:本文研究得到国家自然科学基金资助. |
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| Combined Wavelet Packets and Best Bases |
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CHEN Yu-yu,CHEN Yu-yu,WANG Guo-yi
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| Abstract: |
| In this paper, the concept of CWP(combined wavelet packets) is proposed. CWP can be obtained from COWB(combined orthonormal wavelet bases) which is composed of several orthonormal wavelet bases having the same space structure in a multiresolution analysis view. Compared with traditional wavelet packets, CWP have not only better frequency localization, but also waveshape variation. The wavelet coefficients can be computed by a fast algorithm which computes in the frequency domain and uses FFT. |
| Key words: Multiresolution analysis, combined orthonormal wavelet basis, wavelet packets. |
