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arXiv · 1609.09744

Phase Unmixing : Multichannel Source Separation with Magnitude Constraints

Antoine Deleforge·Yann Traonmilin
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Abstract

We consider the problem of estimating the phases of K mixed complex signals from a multichannel observation, when the mixing matrix and signal magnitudes are known. This problem can be cast as a non-convex quadratically constrained quadratic program which is known to be NP-hard in general. We propose three approaches to tackle it: a heuristic method, an alternate minimization method, and a convex relaxation into a semi-definite program. The last two approaches are showed to outperform the oracle multichannel Wiener filter in under-determined informed source separation tasks, using simulated and speech signals. The convex relaxation approach yields best results, including the potential for exact source separation in under-determined settings.

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Antoine Deleforge, Yann Traonmilin. 2016-09-30. Phase Unmixing : Multichannel Source Separation with Magnitude Constraints. https://arxiv.org/abs/1609.09744

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