Astronomy and Astrophysics – Astrophysics – Instrumentation and Methods for Astrophysics
Scientific paper
2009-07-06
Mon. Not. R. Astron. Soc. 400 (2009) 1029
Astronomy and Astrophysics
Astrophysics
Instrumentation and Methods for Astrophysics
10 pages, 3 figures. Version 2 matches version accepted for publication in MNRAS. Changes include minor clarifications
Scientific paper
10.1111/j.1365-2966.2009.15519.x
We consider the probe of astrophysical signals through radio interferometers with small field of view and baselines with non-negligible and constant component in the pointing direction. In this context, the visibilities measured essentially identify with a noisy and incomplete Fourier coverage of the product of the planar signals with a linear chirp modulation. In light of the recent theory of compressed sensing and in the perspective of defining the best possible imaging techniques for sparse signals, we analyze the related spread spectrum phenomenon and suggest its universality relative to the sparsity dictionary. Our results rely both on theoretical considerations related to the mutual coherence between the sparsity and sensing dictionaries, as well as on numerical simulations.
Boursier Yannick
Puy Gilles
Vandergheynst Pierre
Wiaux Yves
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