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A bio-inspired geometric model for sound reconstruction

Abstract : 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 propose a mathematical model of sound reconstruction based on the functional architecture of the auditory cortex (A1). The model is inspired by the geometrical modelling of vision, which has undergone a great development in the last ten years. There are however fundamental dissimilarities, due to the di erent role played by time and the di erent group of symmetries. 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 is reconstructed via a Wilson-Cowan di ero-integral equation. Preliminary numerical experiments are provided, showing the good reconstruction properties of the algorithm on synthetic sounds concentrated around two frequencies.
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https://halshs.archives-ouvertes.fr/halshs-03082124
Contributor : Giuseppina Turco <>
Submitted on : Friday, December 18, 2020 - 2:57:07 PM
Last modification on : Sunday, January 10, 2021 - 3:24:23 AM

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  • HAL Id : halshs-03082124, version 1

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Ugo Boscain, Dario Prandi, Ludovic Sacchelli, Giuseppina Turco. A bio-inspired geometric model for sound reconstruction. Journal of Mathematical Neuroscience, BioMed Central, In press. ⟨halshs-03082124⟩

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