Compressed sensing imaging techniques for radio interferometry |
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| Authors: | Y Wiaux L Jacques G Puy A M M Scaife P Vandergheynst |
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| Institution: | Institute of Electrical Engineering, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland;Centre for Particle Physics and Phenomenology, Universitécatholique de Louvain (UCL), B-1348 Louvain-la-Neuve, Belgium;Communications and Remote Sensing Laboratory, Universitécatholique de Louvain (UCL), B-1348 Louvain-la-Neuve, Belgium;Astrophysics Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE |
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| Abstract: | Radio interferometry probes astrophysical signals through incomplete and noisy Fourier measurements. The theory of compressed sensing demonstrates that such measurements may actually suffice for accurate reconstruction of sparse or compressible signals. We propose new generic imaging techniques based on convex optimization for global minimization problems defined in this context. The versatility of the framework notably allows introduction of specific prior information on the signals, which offers the possibility of significant improvements of reconstruction relative to the standard local matching pursuit algorithm CLEAN used in radio astronomy. We illustrate the potential of the approach by studying reconstruction performances on simulations of two different kinds of signals observed with very generic interferometric configurations. The first kind is an intensity field of compact astrophysical objects. The second kind is the imprint of cosmic strings in the temperature field of the cosmic microwave background radiation, of particular interest for cosmology. |
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| Keywords: | techniques: image processing techniques: interferometric cosmic microwave background |
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