Journal Article

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

Y. Wiaux, G. Puy and P. Vandergheynst

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 402, issue 4, pages 2626-2636
Published in print March 2010 | ISSN: 0035-8711
Published online March 2010 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2009.16079.x
Compressed sensing reconstruction of a string signal from interferometric observations of the cosmic microwave background

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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.

Keywords: techniques: image processing; techniques: interferometric; cosmic microwave background

Journal Article.  8833 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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