  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.
