| Paper: | SPTM-P10.4 | ||
| 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: | WAVELET-BASED DENOISING BY CUSTOMIZED THRESHOLDING | ||
| Authors: | Byung-Jun Yoon; California Institute of Technology | ||
| Palghat P. Vaidyanathan; California Institute of Technology | |||
| Abstract: | The problem of estimating a signal that is corrupted by additive noise has been of interest to many researchers for practical as well as theoretical reasons. Many of the traditional denoising methods have been using linear methods such as the Wiener filtering. Recently, nonlinear methods, especially those based on wavelets have become increasingly popular, due to a number of advantages over the linear methods. It has been shown that wavelet-thresholding has near-optimal properties in the minimax sense, and guarantees better rate of convergence, despite its simplicity. Even though much work has been done in the field of wavelet-thresholding, most of it was focused on statistical modeling of the wavelet coefficients and the optimal choice of the thresholds. In this paper, we propose a custom thresholding function which can improve the denoised results significantly. Simulation results are given in order to show the advantage of the new thresholding function. | ||
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