Towards Gridless Sound Field Reconstruction

Ids Van der Werf, Pablo Martinez-Nuevo, Martin Bo Møller, Richard Hendriks, Jorge Martinez

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

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Abstract

The sound field in a room can be represented by a weighted sum of room modes. To estimate the room modes, current literature uses on-the-grid, sparse reconstruction methods. However, these on-the-grid methods are known to suffer from basis mismatch. In this work, we investigate the use of a gridless framework for estimating room modes using atomic norm minimization, a gridless method. The advantage of this approach would be that it does not suffer from this basis mismatch problem. We derive a bound for the sound field reconstruction problem in a one-dimensional room with rigid walls and relate this to the frequency separation that is required by the atomic norm. We conclude that for perfect reconstruction based on the investigated gridless approach, additional prior knowledge about the signal model is required. We show how recovery is possible in a one-dimensional setting by exploiting both the structure of the sound field and the acquisition method.
Original languageEnglish
Title of host publicationProceedings of the 2022 30th European Signal Processing Conference (EUSIPCO)
PublisherIEEE
Pages862-866
Number of pages5
ISBN (Electronic)978-90-827970-9-1
ISBN (Print)978-1-6654-6799-5
DOIs
Publication statusPublished - 2022
Event30th European Signal Processing Conference - Belgrade, Serbia
Duration: 29 Aug 20222 Sept 2022

Conference

Conference30th European Signal Processing Conference
Abbreviated title EUSIPCO 2022
Country/TerritorySerbia
CityBelgrade
Period29/08/222/09/22

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

  • atomic norm
  • sparse recovery
  • (spatial) frequency estimation
  • room acoustics
  • sound field reconstruction

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