Proceedings of the 2017 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY, October 15-18, 2017

The Selection of Spectral Magnitude Exponents for Separating Two Sources Is Dominated by Phase Distribution Not Magnitude Distribution

Stephen D. Voran

Abstract: Separating an acoustic signal into desired and undesired components is an important and well-established problem. It is commonly addressed by decomposing spectral magnitudes after exponentiation and the choice of exponent has been studied from numerous perspectives. We present this exponent selection problem as an approximation to the actual underlying geometric situation. This approach makes apparent numerous basic facts and some of these have been ignored or violated in related work efforts. We show that exponent selection is dominated by the phase distribution and that magnitude distributions have almost no influence. We also show that exponents can be much more effectively selected in the estimated source domain, rather than in the domain of the combined sources. Finally we describe the mechanism that causes exponents slightly above 1.0 to be preferred in many cases, completely independent of source distributions

Keywords: noise reduction; speech enhancement; source separation; spectral subtraction; spectral magnitude exponent

For technical information concerning this report, contact:

Stephen D. Voran
Institute for Telecommunication Sciences
(303) 497-3839
svoran@ntia.doc.gov

To request a reprint of this report, contact:

Lilli Segre, Publications Officer
Institute for Telecommunication Sciences
(303) 497-3572
LSegre@ntia.gov

Disclaimer: Certain commercial equipment, components, and software may be identified in this report to specify adequately the technical aspects of the reported results. In no case does such identification imply recommendation or endorsement by the National Telecommunications and Information Administration, nor does it imply that the equipment or software identified is necessarily the best available for the particular application or uses.

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