Compressed sensing imaging techniques for radio interferometry

Yves Wiaux, L. Jacques, Gilles Puy, A. M M Scaife, Pierre Vandergheynst

Research output: Contribution to journalArticle

152 Citations (Scopus)
110 Downloads (Pure)

Abstract

Radio interferometry probes astrophysical signals through incomplete and noisy Fourier measurements. The theory of compressed sensing demonstrates that such measurements may actually suffice for accurate reconstruction of sparse or compressible signals. We propose new generic imaging techniques based on convex optimization for global minimization problems defined in this context. The versatility of the framework notably allows introduction of specific prior information on the signals, which offers the possibility of significant improvements of reconstruction relative to the standard local matching pursuit algorithm CLEAN used in radio astronomy. We illustrate the potential of the approach by studying reconstruction performances on simulations of two different kinds of signals observed with very generic interferometric configurations. The first kind is an intensity field of compact astrophysical objects. The second kind is the imprint of cosmic strings in the temperature field of the cosmic microwave background radiation, of particular interest for cosmology. © 2009 RAS.

Original languageEnglish
Pages (from-to)1733-1742
Number of pages10
JournalMonthly Notices of the Royal Astronomical Society
Volume395
Issue number3
DOIs
Publication statusPublished - 21 May 2009

Keywords

  • Cosmic microwave background
  • Techniques: image processing
  • Techniques: interferometric

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

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