Spread spectrum for imaging techniques in radio interferometry

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

Research output: Contribution to journalArticlepeer-review

50 Citations (Scopus)
133 Downloads (Pure)

Abstract

We consider the probe of astrophysical signals through radio interferometers with a small field of view and baselines with a non-negligible and constant component in the pointing direction. In this context, the visibilities measured essentially identify with a noisy and incomplete Fourier coverage of the product of the planar signals with a linear chirp modulation. In light of the recent theory of compressed sensing and in the perspective of defining the best possible imaging techniques for sparse signals, we analyse the related spread spectrum phenomenon and suggest its universality relative to the sparsity dictionary. Our results rely both on theoretical considerations related to the mutual coherence between the sparsity and sensing dictionaries and on numerical simulations. © 2009 RAS.

Original languageEnglish
Pages (from-to)1029-1038
Number of pages10
JournalMonthly Notices of the Royal Astronomical Society
Volume400
Issue number2
DOIs
Publication statusPublished - 1 Dec 2009

Keywords

  • Techniques: image processing
  • Techniques: interferometric

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

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