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| Paper: | SPTM-P10.7 |
| Session: | Multirate Systems and Denoising |
| Time: | Thursday, May 20, 15:30 - 17:30 |
| Presentation: |
Poster |
| Topic: |
Signal Processing Theory and Methods: Multi-rate Signal Processing & Wavelets |
| Title: |
A NEW COMPLEX WAVELET TRANSFORM BY USING RI-SPLINE WAVELET |
| Authors: |
Zhong Zhang; Industrial Technology Center of Okayama Prefectrue | | |
| | Hisanaga Fujiwara; Industrial Technology Center of Okayama Prefectrue | | |
| | Hiroshi Toda; Okayama Prefectural University | | |
| | Hiroaki Kawabata; Okayama Prefectural University | | |
| Abstract: |
In this study, we propose a new complex wavelet, the RI-splinewavelet, 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 betweenthe two filters of the trees. Finally, we experimentally showthat the translation invariance, which can not be obtained by the ordinary DWT, is obtained by RI-spline wavelet. |
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