The dual-tree complex wavelet transform

Selesnick I.W.; Baraniuk R.G.; Kingsbury N.C.

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The dual-tree complex wavelet transform

机译：双树复小波变换

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摘要

The paper discusses the theory behind the dual-tree transform, shows how complex wavelets with good properties can be designed, and illustrates a range of applications in signal and image processing. The authors use the complex number symbol C in CWT to avoid confusion with the often-used acronym CWT for the (different) continuous wavelet transform. The four fundamentals, intertwined shortcomings of wavelet transform and some solutions are also discussed. Several methods for filter design are described for dual-tree CWT that demonstrates with relatively short filters, an effective invertible approximately analytic wavelet transform can indeed be implemented using the dual-tree approach.

机译：本文讨论了双树变换背后的理论，展示了如何设计具有良好特性的复杂小波，并说明了在信号和图像处理中的一系列应用。作者在CWT中使用复数符号C来避免与（不同的）连续小波变换的常用缩写CWT混淆。还讨论了小波变换的四个基本原理，相互交织的缺点以及一些解决方案。描述了针对双树CWT的几种滤波器设计方法，这些方法用相对较短的滤波器进行演示，实际上可以使用双树方法来实现有效的可逆近似解析小波变换。

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来源
《IEEE Signal Processing Magazine》 |2005年第6期|p.123-151|共29页
作者
Selesnick I.W.; Baraniuk R.G.; Kingsbury N.C.;
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原文格式 PDF
正文语种 eng
中图分类通信理论;
关键词
channel bank filters; image processing; wavelet transforms; dual-tree complex wavelet transform; filter design; image processing; signal processing;

机译：通道库滤波器;图像处理;小波变换;双树复小波变换;滤波器设计;图像处理;信号处理;

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The dual-tree complex wavelet transform

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