Title :
A new complex wavelet transform by using RI-spline wavelet
Author :
Zhang, Zhong ; Fujiwara, Hisanaga ; Toda, Hiroshi ; Kawabata, Hiroaki
Author_Institution :
Ind. Technol. Center of Okayama Prefecture, Japan
Abstract :
We propose a new complex wavelet, the RI-spline wavelet, which is constructed using spline wavelets for dual-tree DWT. In the RI-spline wavelet, the real and imaginary components become an approximate Hilbert pair to each other. Then we propose a new dual-tree algorithm which uses an interpolation method for providing a half-sample-delay between the two filters of the trees. Finally, we experimentally show that the translation invariance, which can not be obtained by the ordinary DWT, is obtained by RI-spline wavelet.
Keywords :
filtering theory; signal processing; splines (mathematics); trees (mathematics); wavelet transforms; Hilbert pair; RI-spline wavelet; complex wavelet transform; dual-tree DWT; dual-tree algorithm; half-sample-delay; imaginary component; real component; signal processing tool; translation invariance; Computational efficiency; Continuous wavelet transforms; Discrete wavelet transforms; Filter bank; Interpolation; Multiresolution analysis; Spline; Wavelet analysis; Wavelet coefficients; Wavelet transforms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2004. Proceedings. (ICASSP '04). IEEE International Conference on
Print_ISBN :
0-7803-8484-9
DOI :
10.1109/ICASSP.2004.1326413
