Gridless 3D Recovery of Image Sources from Room Impulse Responses - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles IEEE Signal Processing Letters Year : 2022

Gridless 3D Recovery of Image Sources from Room Impulse Responses

Abstract

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 principal
Vignette du fichier
sprunck_spl2022_V2.pdf (440.65 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03763838 , version 1 (29-08-2022)
hal-03763838 , version 2 (05-12-2022)

Identifiers

Cite

Tom Sprunck, Antoine Deleforge, Yannick Privat, Cédric Foy. Gridless 3D Recovery of Image Sources from Room Impulse Responses. IEEE Signal Processing Letters, 2022, 29, pp.2427-2431. ⟨10.1109/LSP.2022.3224682⟩. ⟨hal-03763838v2⟩
310 View
147 Download

Altmetric

Share

More