Title :
Hilbert Transform Pairs of Orthonormal Symmetric Wavelet Bases using Allpass Filters
Author :
Zhang, Xi ; Ge, Dong F.
Author_Institution :
Univ. of Electro-Commun., Tokyo
fDate :
Sept. 16 2007-Oct. 19 2007
Abstract :
This paper proposes a new class of Hilbert transform pairs of orthonormal symmetric wavelet bases. The associated orthonormal filter banks with exactly linear phase responses are realized by using complex and real allpass filters, respectively. The filter characteristics with the maximally flat responses are investigated to show the effectiveness of the proposed pairs.
Keywords :
Hilbert transforms; all-pass filters; wavelet transforms; Hilbert transform pair; allpass filter; linear phase response; orthonormal symmetric wavelet; Filter bank; Finite impulse response filter; Fourier transforms; IIR filters; Information filtering; Information filters; Nonlinear filters; Signal processing; Sufficient conditions; Wavelet transforms; Allpass filter; Hilbert transform; orthonormality; symmetry; wavelet transform;
Conference_Titel :
Image Processing, 2007. ICIP 2007. IEEE International Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
978-1-4244-1437-6
Electronic_ISBN :
1522-4880
DOI :
10.1109/ICIP.2007.4378982
