On the phase condition and its solution for Hilbert transform pairs of wavelet bases

被引：31

作者：

Ozkaramanli, H ^{[1
]}

Yu, RY ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, Dept Elect & Elect Engn, Mersin, Turkey

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2003年 / 51卷 / 12期

关键词：

Hilbert transforms; phase condition; scaling filters; wavelets;

D O I：

10.1109/TSP.2003.818996

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：

In this correspondence, the phase condition on the scaling filters of two wavelet bases that renders the corresponding wavelets as Hilbert transform pairs is studied. An alternative and equivalent phase condition is derived. With the equivalent condition and using Fourier series expansions, we show that the solution for which the corresponding scaling filters are offset from one another by a half sample is the only solution satisfying the phase condition.

引用

页码：3293 / 3294

页数：2

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