Title :
A new non-redundant complex Hilbert wavelet transforms
Author :
Wei, Liying ; Blu, Thierry
Author_Institution :
Dept. of Electron. Eng., Chinese Univ. of Hong Kong, Hong Kong, China
Abstract :
In this paper, a novel non-redundant complex wavelet transform (NRCWT) for real-valued signals is proposed. For this purpose, an orthogonal complex filter bank is developed to implement this NRCWT. We show how to choose the two complex filters from classical real-valued wavelet filters in such a way that the filterbank is always orthogonal. Using fractional B-spline filters, a pair of exact Hilbert wavelets are constructed, which can separate the positive frequencies from the negative frequencies.
Keywords :
Hilbert transforms; channel bank filters; splines (mathematics); classical real valued wavelet filters; fractional B-spline filters; nonredundant complex Hilbert wavelet transforms; orthogonal complex filter bank; real valued signals; Multiresolution analysis; Signal processing; Speech; Splines (mathematics); Wavelet transforms; Non-redundant; complex wavelet transform; multiresolution analysis;
Conference_Titel :
Statistical Signal Processing Workshop (SSP), 2012 IEEE
Conference_Location :
Ann Arbor, MI
Print_ISBN :
978-1-4673-0182-4
Electronic_ISBN :
pending
DOI :
10.1109/SSP.2012.6319785