Higher-Density Dual Tree Discrete Wavelet Transform

Higher-Density Dual Tree Discrete Wavelet Transform
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DOI：
10.1142/s0219691307002063
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发表时间：
2007-09
期刊：
Int. J. Wavelets Multiresolution Inf. Process.
影响因子：
--
通讯作者：
Lizhong Peng;WeiTao Yuan
Lizhong Peng;WeiTao Yuan
中科院分区：
其他
文献类型：
--
作者：
Lizhong Peng;WeiTao Yuan

文献摘要

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介绍了高密度双树离散小波变换。引入了一种新的多分辨分析来描述高密度离散小波变换，并利用该方法得到了HDDT希尔伯特变换对的充分条件。在HDDT滤波器的设计中，我们采用了扩展的公因子法，它不仅包含了公因子法，而且还提供了精确的线性相位双帧滤波器。给出了HDDT紧框架和双框架（反对称）对称滤波器的设计方法。最后，本文设计的HDDT滤波器的去噪实验结果证明了高密度双树小波变换在图像处理应用中的有效性。
This paper introduces the higher-density dual-tree (HDDT) discrete wavelet transform (DWT). A new MRA is introduced to describe higher-density DWT and used to obtain the sufficient condition for the HDDT Hilbert transform pair. In designing HDDT filters we use the extended common-factor method which not only includes the common-factor method but also provides exact linear phase bi-frame filters. Both HDDT tight frame and bi-frame (anti)symmetric filter design methods are given. At last, the results of denoising experiments by our newly designed HDDT filters in this paper prove the effectiveness of higher-density dual-tree DWT in the application of image processing.