Compressed sensing reconstruction of a string signal from interferometric observations of the cosmic microwave background

Yves Wiaux, Gilles Puy, Pierre Vandergheynst

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

We propose an algorithm for the reconstruction of the signal induced by cosmic strings in the cosmic microwave background (CMB), from radio-interferometric data at arcminute resolution. Radio interferometry provides incomplete and noisy Fourier measurements of the string signal, which exhibits sparse or compressible magnitude of the gradient due to the Kaiser-Stebbins effect. In this context, the versatile framework of compressed sensing naturally applies for solving the corresponding inverse problem. Our algorithm notably takes advantage of a model of the prior statistical distribution of the signal fitted on the basis of realistic simulations. Enhanced performance relative to the standard CLEAN algorithm is demonstrated by simulated observations under noise conditions including primary and secondary CMB anisotropies.

Original languageEnglish
Pages (from-to)2626-2636
Number of pages11
JournalMonthly Notices of the Royal Astronomical Society
Volume402
Issue number4
DOIs
Publication statusPublished - 11 Mar 2010

Keywords

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

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

Fingerprint Dive into the research topics of 'Compressed sensing reconstruction of a string signal from interferometric observations of the cosmic microwave background'. Together they form a unique fingerprint.

  • Cite this