Higher density dual-tree discrete wavelet transform
Higher density dual-tree discrete wavelet transform
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DOI：
10.1049/iet-spr:20070028
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发表时间：
2007-09
影响因子：
1.7
通讯作者：
F. Yan;Lizhi Cheng;Hongqiang Wang
中科院分区：
文献类型：
--
作者：
F. Yan;Lizhi Cheng;Hongqiang Wang
提出了一类新的基于对偶树的二进复(近似解析)小波紧框架，它是Selesnick(in A Higher-Density DWT，IEEE Transaction on Signal Processing)提出的高密度离散小波变换(DWT)的扩展。由于所提出的小波框架是高密度离散小波变换和对偶树复小波变换的良好结合，当同时需要这两种变换的性质时，相应的新的小波变换具有潜在的应用前景。讨论了如何获得满足这种新的小波变换所施加的众多约束的有限冲激响应滤波器的设计问题。所提出的小波框架是紧支撑的，几乎是平移不变的，具有消失矩和中间尺度。文中还讨论了几个具体的例子来说明小波框架的构造和性质。
A new family of dual-tree based dyadic complex (approximate analytic) wavelet tight frames that is an extension of higher density discrete wavelet transform (DWT) introduced by Selesnick (in A Higher-density DWT, IEEE Transaction on Signal Processing) is proposed. Because the proposed wavelet frames are good combinations of the higher-density DWT and the dual tree complex wavelet transform, the corresponding new wavelet transform can be potentially applied to the applications when properties of both transforms are required simultaneously. The design problem to obtain finite impulse response filters satisfying the numerous constraints imposed by this new wavelet transform is addressed. The proposed wavelet frames are compactly supported, nearly shift-invariant, having vanishing moments and intermediate scales. Several explicit examples are discussed to illustrate the construction and properties of the wavelet frames.