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An auditory cortex model for sound processing

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arxiv 2103.04608 v1 pith:AOO2ESUF submitted 2021-03-08 math.AP eess.SPmath.OC

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keywords auditoryreconstructionsoundalgorithmcorteximagemodelbuilt
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The reconstruction mechanisms built by the human auditory system during sound reconstruction are still a matter of debate. The purpose of this study is to refine the auditory cortex model introduced in [9], and inspired by the geometrical modelling of vision. The algorithm transforms the degraded sound in an 'image' in the time-frequency domain via a short-time Fourier transform. Such an image is then lifted in the Heisenberg group and it is reconstructed via a Wilson-Cowan differo-integral equation. Numerical experiments on a library of speech recordings are provided, showing the good reconstruction properties of the algorithm.

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