Gridless 3D Recovery of Image Sources from Room Impulse Responses - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Sound and Vibration Année : 2022

Gridless 3D Recovery of Image Sources from Room Impulse Responses

Tom Sprunck
  • Fonction : Auteur
Yannick Privat
  • Fonction : Auteur
Antoine Deleforge
  • Fonction : Auteur

Résumé

Given a sound field generated by a sparse distribution of impulse image sources, can the continuous 3D positions and amplitudes of these sources be recovered from discrete, bandlimited measurements of the field at a finite set of locations, e.g., a multichannel room impulse response? Borrowing from recent advances in super-resolution imaging, it is shown that this nonlinear, non-convex inverse problem can be efficiently relaxed into a convex linear inverse problem over the space of Radon measures in R3. The linear operator introduced here stems from the fundamental solution of the free-field inhomogenous wave equation combined with the receivers' responses. An adaptation of the Sliding Frank-Wolfe algorithm is proposed to numerically solve the problem off-the-grid, i.e., in continuous 3D space. Simulated experiments show that the approach achieves near-exact recovery of hundreds of image sources using an arbitrarily placed compact 32-channel spherical microphone array in random rectangular rooms. The impact of noise, sampling rate and array diameter on these results is also examined.
Fichier non déposé

Dates et versions

hal-04302300 , version 1 (23-11-2023)

Identifiants

Citer

Tom Sprunck, Yannick Privat, Cédric Foy, Antoine Deleforge. Gridless 3D Recovery of Image Sources from Room Impulse Responses. Journal of Sound and Vibration, 2022, 204 (1), pp.180-182. ⟨10.48550/arXiv.2208.14017⟩. ⟨hal-04302300⟩

Collections

CEREMA UNIV-EIFFEL
11 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More