Title :
The Design of Hilbert Transform Pairs of Biorthogonal Wavelet Bases
Author :
Wang, Hongxia ; Chen, Bo
Author_Institution :
Dept. of Mathematic & Syst. Sci., Nat. Univ. of Defense Technol., Changsha
Abstract :
The property and design of Hilbert transform pairs are studied in this paper. A sufficient and necessary condition is deduced for two biorthogonal wavelet bases forming a Hilbert transform pair. And parameterized wavelet filter banks both of linear phase are designed further. Numerical experiments show that the lengths of the new designed wavelet filters are shorten evidently. Furthermore, wavelet filters all of rational coefficients can be obtained by choosing proper parameters. It is quite useful to reduce the computational complexity of wavelet transforms
Keywords :
Hilbert transforms; channel bank filters; computational complexity; filtering theory; wavelet transforms; Hilbert transform; biorthogonal wavelet bases; computational complexity; parameterized wavelet filter banks; rational coefficients; wavelet transforms; Computational complexity; Delay; Design methodology; Digital images; Filter bank; Finite impulse response filter; Fourier transforms; Image reconstruction; Mathematics; Wavelet transforms;
Conference_Titel :
Signal Processing, 2006 8th International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-9736-3
Electronic_ISBN :
0-7803-9736-3
DOI :
10.1109/ICOSP.2006.345577
