Compressed sensing for wide-field radio interferometric imaging

Jason D McEwen, Yves Wiaux

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)
871 Downloads (Pure)

Abstract

For the next generation of radio interferometric telescopes it is of paramount importance to incorporate wide field-of-view (WFOV) considerations in interferometric imaging, otherwise the fidelity of reconstructed images will suffer greatly. We extend compressed sensing techniques for interferometric imaging to a WFOV and recover images in the spherical coordinate space in which they naturally live, eliminating any distorting projection. The effectiveness of the spread spectrum phenomenon, highlighted recently by one of the authors, is enhanced when going to a WFOV, while sparsity is promoted by recovering images directly on the sphere. Both of these properties act to improve the quality of reconstructed interferometric images. We quantify the performance of compressed sensing reconstruction techniques through simulations, highlighting the superior reconstruction quality achieved by recovering interferometric images directly on the sphere rather than the plane.

Original languageEnglish
Pages (from-to)1318-1332
Number of pages15
JournalMonthly Notices of the Royal Astronomical Society
Volume413
Issue number2
DOIs
Publication statusPublished - 11 May 2011

Keywords

  • Cosmology: observations
  • Methods: numerical
  • Techniques: interferometric

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

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