Compressed sensing for radio interferometry: spread spectrum imaging techniques

Yves Wiaux, Gilles Puy, Y. Boursier, Pierre Vandergheynst

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

We consider the problem of reconstruction of astrophysical signals probed by radio interferometers with baselines bearing a non-negligible component in the pointing direction. The visibilities measured essentially identify with a noisy and incomplete Fourier coverage of the product of the planar signals with a linear chirp modulation. We analyze the related spread spectrum phenomenon and suggest its universality relative to the sparsity dictionary, in terms of the achievable quality of reconstruction through the Basis Pursuit problem. The present manuscript represents a summary of recent work.

Original languageEnglish
Title of host publicationWavelets XIII
EditorsVivek K Goyal, Manos Papadakis, Dimitri Van De Ville
PublisherSPIE
Volume7446
ISBN (Print)9780819477361
DOIs
Publication statusPublished - 2009
EventWavelets XIII - San Diego, CA, United States
Duration: 2 Aug 20094 Aug 2009

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume7446
ISSN (Print)1996-756X

Conference

ConferenceWavelets XIII
CountryUnited States
CitySan Diego, CA
Period2/08/094/08/09

Keywords

  • Techniques: image processing
  • Techniques: interferometric

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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  • Cite this

    Wiaux, Y., Puy, G., Boursier, Y., & Vandergheynst, P. (2009). Compressed sensing for radio interferometry: spread spectrum imaging techniques. In V. K. Goyal, M. Papadakis, & D. Van De Ville (Eds.), Wavelets XIII (Vol. 7446). [74460J] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 7446). SPIE. https://doi.org/10.1117/12.824713