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A risk-estimation-based formulation for speech enhancement and its relation to Wiener filtering

Muraka, Nagarjuna Reddy and Seelamantula, Chandra Sekhar (2012) A risk-estimation-based formulation for speech enhancement and its relation to Wiener filtering. In: 2012 International Conference on Signal Processing and Communications (SPCOM), 22-25 July 2012, Bangalore, Karnataka, India.

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Official URL: http://dx.doi.org/10.1109/SPCOM.2012.6290223

Abstract

The goal of speech enhancement algorithms is to provide an estimate of clean speech starting from noisy observations. The often-employed cost function is the mean square error (MSE). However, the MSE can never be computed in practice. Therefore, it becomes necessary to find practical alternatives to the MSE. In image denoising problems, the cost function (also referred to as risk) is often replaced by an unbiased estimator. Motivated by this approach, we reformulate the problem of speech enhancement from the perspective of risk minimization. Some recent contributions in risk estimation have employed Stein's unbiased risk estimator (SURE) together with a parametric denoising function, which is a linear expansion of threshold/bases (LET). We show that the first-order case of SURE-LET results in a Wiener-filter type solution if the denoising function is made frequency-dependent. We also provide enhancement results obtained with both techniques and characterize the improvement by means of local as well as global SNR calculations.

Item Type: Conference Paper
Additional Information: Copyright of this article belongs to IEEE.
Keywords: Stein’s Unbiased Risk Estimator (SURE); SURE-LET; James-Stein Estimator; Wiener Filter
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Depositing User: Id for Latest eprints
Date Deposited: 02 Jul 2013 06:50
Last Modified: 02 Jul 2013 06:50
URI: http://eprints.iisc.ac.in/id/eprint/46536

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