MULAN: A Blind and Off-Grid Method for Multichannel Echo Retrieval - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2018

MULAN: A Blind and Off-Grid Method for Multichannel Echo Retrieval

Abstract

This paper addresses the general problem of blind echo retrieval, i.e., given M sensors measuring in the discrete-time domain M mixtures of K delayed and attenuated copies of an unknown source signal, can the echo locations and weights be recovered? This problem has broad applications in fields such as sonars, seismol-ogy, ultrasounds or room acoustics. It belongs to the broader class of blind channel identification problems, which have been intensively studied in signal processing. Existing methods in the literature proceed in two steps: (i) blind estimation of sparse discrete-time filters and (ii) echo information retrieval by peak-picking on filters. The precision of these methods is fundamentally limited by the rate at which the signals are sampled: estimated echo locations are necessary on-grid, and since true locations never match the sampling grid, the weight estimation precision is impacted. This is the so-called basis-mismatch problem in compressed sensing. We propose a radically different approach to the problem, building on the framework of finite-rate-of-innovation sampling. The approach operates directly in the parameter-space of echo locations and weights, and enables near-exact blind and off-grid echo retrieval from discrete-time measurements. It is shown to outperform conventional methods by several orders of magnitude in precision.
Fichier principal
Vignette du fichier
main_CR.pdf (386.81 Ko) Télécharger le fichier
Vignette du fichier
dirac_train.png (18.8 Ko) Télécharger le fichier
Vignette du fichier
phase_transition_nF_201_location.png (37.19 Ko) Télécharger le fichier
Vignette du fichier
phase_transition_nF_201_weight.png (37.28 Ko) Télécharger le fichier
Vignette du fichier
phase_transition_nF_401_location.png (34.85 Ko) Télécharger le fichier
Vignette du fichier
phase_transition_nF_401_weight.png (35.13 Ko) Télécharger le fichier
IEEEbib.bst (17.48 Ko) Télécharger le fichier
math.sty (6.59 Ko) Télécharger le fichier
neurips_2018.sty (10.79 Ko) Télécharger le fichier
refs.bib (18.61 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Format : Figure, Image
Origin : Files produced by the author(s)
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Loading...

Dates and versions

hal-01906385 , version 1 (31-10-2018)
hal-01906385 , version 2 (09-01-2019)

Identifiers

Cite

Helena Peic Tukuljac, Antoine Deleforge, Rémi Gribonval. MULAN: A Blind and Off-Grid Method for Multichannel Echo Retrieval. NeurIPS 2018 - Thirty-second Conference on Neural Information Processing Systems, Dec 2018, Montréal, Canada. pp.1-11. ⟨hal-01906385v2⟩
343 View
180 Download

Altmetric

Share

Gmail Facebook X LinkedIn More