An unbiased risk estimator for multiplicative noise-application to 1-D signal denoising
Journal
International Conference on Digital Signal Processing, DSP
Journal Volume
2014-January
ISBN
9781479946129
Date Issued
2014-01-01
Author(s)
Abstract
The effect of multiplicative noise on a signal when compared with that of additive noise is very large. In this paper, we address the problem of suppressing multiplicative noise in one-dimensional signals. To deal with signals that are corrupted with multiplicative noise, we propose a denoising algorithm based on minimization of an unbiased estimator (MURE) of meansquare error (MSE). We derive an expression for an unbiased estimate of the MSE. The proposed denoising is carried out in wavelet domain (soft thresholding) by considering time-domain MURE. The parameters of thresholding function are obtained by minimizing the unbiased estimator MURE. We show that the parameters for optimal MURE are very close to the optimal parameters considering the oracle MSE. Experiments show that the SNR improvement for the proposed denoising algorithm is competitive with a state-of-the-art method.
Subjects
Denoising | Multiplicative noise | Risk estimation | Thresholding.
Type
conference paper