Convex approximation to the likelihood criterion for aperture synthesis imaging

Physics – Optics

Scientific paper

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Visibility, Light Interferometry, Atmospheric Optics, Atmospheric Techniques, Telescopes, Atmospheric Turbulence, Image Resolution, Physics Computing, Convex Programming, Image Reconstruction-Restoration, Inverse Problems, Telescopes, Interferometry

Scientific paper

Aperture synthesis allows one to measure visibilities at very high resolutions by coupling telescopes of reasonable diameters. We consider the case where visibility amplitudes and phase are measured separately. It leads to an estimation problem where the noise model yields a nonconvex data-likelihood criterion. We show how to optimally approximate the noise model while keeping the criterion convex. This approximation has been validated both on simulations and on experimental data.

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