An analysis of the properties of CLEAN and smoothness stabilized CLEAN-some warnings

Astronomy and Astrophysics – Astronomy

Scientific paper

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Algorithms, Convergence, Image Reconstruction, Radio Astronomy, Error Analysis, Robustness (Mathematics), Smoothing

Scientific paper

The convergence properties of CLEAN (Hoegbom, 1974) and Smoothness Stabilized CLEAN (SSC); (Cornwell, 1983), algorithms used to deconvolve images from radio telescopes with irregular or incomplete aperture-plane coverage, are investigated analytically. It is found that although CLEAN is divergent (the system of linear equations representing the convolutional relationship having an infinite number of solutions) under most practical conditions, it usually finds the correct solution first if the true sky brightness is a set of point sources consistent with a CLEAN model. Corrugation effects and other problems occurring when extended-emission sources are present are examined, and it is shown that SSC, often applied to correct them, does not converge to a desirable solution with sidelobe suppression.

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