Application of Compressive Sampling to Radio Astronomy I: Deconvolution

Details Application of Compressive Sampling to Radio Astronomy I: Deconvolution Application of Compressive Sampling to Radio Astronomy I: Deconvolution

Jun 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ascl.soft06019l&link_type=abstract

Astrophysics Source Code Library, record ascl:1106.019

Astronomy and Astrophysics

Astrophysics

Scientific paper

Compressive sampling is a new paradigm for sampling, based on sparseness of signals or signal representations. It is much less restrictive than Nyquist-Shannon sampling theory and thus explains and systematises the widespread experience that methods such as the Högbom CLEAN can violate the Nyquist-Shannon sampling requirements. In this paper, a CS-based deconvolution method for extended sources is introduced. This method can reconstruct both point sources and extended sources (using the isotropic undecimated wavelet transform as a basis function for the reconstruction step). We compare this CS-based deconvolution method with two CLEAN-based deconvolution methods: the Högbom CLEAN and the multiscale CLEAN. This new method shows the best performance in deconvolving extended sources for both uniform and natural weighting of the sampled visibilities. Both visual and numerical results of the comparison are provided.

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