An Unbiased Risk Estimator for Multiplicative Noise - Application to 1-D Signal Denoising

Panisetti, Bala Kishore and Blu, Thierry and Seelamantula, Chandra Sekhar (2014) An Unbiased Risk Estimator for Multiplicative Noise - Application to 1-D Signal Denoising. In: 19th International Conference on Digital Signal Processing (DSP), AUG 20-23, 2014, Hong Kong, PEOPLES R CHINA, pp. 497-502.

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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.

Item Type:	Conference Proceedings
Series.:	International Conference on Digital Signal Processing
Publisher:	IEEE
Additional Information:	Copy right for this article belongs to the IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
Keywords:	multiplicative noise; denoising; risk estimation; thresholding
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	09 Oct 2015 05:52
Last Modified:	09 Oct 2015 05:52
URI:	http://eprints.iisc.ac.in/id/eprint/52527

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