Hilbert transform pairs of wavelet bases

被引：253

作者：

Selesnick, IW ^{[1
]}

机构：

[1] Polytech Univ, Dept Elect Engn, Brooklyn, NY 11201 USA

来源：

IEEE SIGNAL PROCESSING LETTERS | 2001年 / 8卷 / 06期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1109/97.923042

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper considers the design of pairs of wavelet bases where the wavelets form a Hilbert transform pair. The derivation is based on the limit functions defined by the infinite product formula. It is found that the scaling filters should be offset from one another by a half sample. This gives an alternative derivation and explanation for the result by Kingsbury, that the dual-tree DWT is (nearly) shift-invariant when the scaling filters satisfy the same offset.

引用

页码：170 / 173

页数：4

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