| Paper: | SPTM-P10.12 | ||
| 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: | ON OPTIMAL THRESHOLD SELECTION FOR MULTIWAVELET SHRINKAGE | ||
| Authors: | Tai-Chiu Hsung; Hong Kong Polytechnic University | ||
| Daniel Pak-Kong Lun; Hong Kong Polytechnic University | |||
| Abstract: | Recent researches found that multivariate shrinkage on multiwavelet transform coefficients further improves the traditional wavelet methods. It is because multiwavelet transform, with appropriate initialization, provides better representation of signals so that their difference from noise can be clearly identified. In this paper, we consider the optimal threshold selection for multiwavelet denoising by using multivariate shrinkage function. Firstly, we study the threshold selection using the Stein's unbiased risk estimator (SURE) for each resolution level when the noise structure is given. Then, we consider the method of generalized cross validation (GCV) when the noise structure is not known a priori. Simulation results show that the higher multiplicity (>2) wavelets usually give better denoising results. Besides, the proposed threshold estimators often suggest better thresholds as compared with the traditional estimators. | ||
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