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1
An auditory cortex model for sound processing
Asswad, Rand
;
Boscain, Ugo
;
Turco, Giuseppina
;
Prandi, Dario
;
Sacchelli, Ludovic
In: Geometric Science of Information ; GSI 2021: Geometric Science of Information ; https://hal.archives-ouvertes.fr/hal-03160486 ; GSI 2021: Geometric Science of Information, Jul 2021, Paris, France. ⟨10.1007/978-3-030-80209-7_7⟩ ; https://gsi2021.site.calypso-event.net/ (2021)
Abstract:
International audience ; 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.
Keyword:
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
;
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
;
[SCCO.LING]Cognitive science/Linguistics
;
[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing
;
Auditory cortex
;
Heisenberg group
;
Kolmogorov operator
;
Wilson-Cowan equation
URL:
https://doi.org/10.1007/978-3-030-80209-7_7
https://hal.archives-ouvertes.fr/hal-03160486/file/auditory_cortex.pdf
https://hal.archives-ouvertes.fr/hal-03160486
https://hal.archives-ouvertes.fr/hal-03160486/document
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