Sparsity Averaging Reweighted Analysis (SARA): a novel algorithm for radio-interferometric imaging

Rafael E Carrillo, Jason D McEwen, Yves Wiaux

Research output: Contribution to journalArticle

76 Citations (Scopus)
51 Downloads (Pure)

Abstract

We propose a novel algorithm for image reconstruction in radio interferometry. The ill-posed inverse problem associated with the incomplete Fourier sampling identified by the visibility measurements is regularized by the assumption of average signal sparsity over representations in multiple wavelet bases. The algorithm, defined in the versatile framework of convex optimization, is dubbed Sparsity Averaging Reweighted Analysis. We show through simulations that the proposed approach outperforms state-of-the-art imaging methods in the field, which are based on the assumption of signal sparsity in a single basis only. © 2012 The Authors Monthly Notices of the Royal Astronomical Society © 2012 RAS.

Original languageEnglish
Pages (from-to)1223-1234
Number of pages12
JournalMonthly Notices of the Royal Astronomical Society
Volume426
Issue number2
DOIs
Publication statusPublished - 21 Oct 2012

Keywords

  • Techniques: image processing
  • Techniques: interferometric

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

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