Interferometric Closure Phase Uncertainties in the Low Signal-to-noise Ratio Regime
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Christian_2020_AJ_159_226.pdf
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IOP PUBLISHING LTDCitation
Pierre Christian and Dimitrios Psaltis 2020 AJ 159 226Journal
ASTRONOMICAL JOURNALRights
Copyright © 2020. The American Astronomical Society. All rights reserved.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
Closure phases are critical in astronomical interferometry. However, their uncertainties are difficult to compute numerically. We provide a method to efficiently compute interferometric closure phase distributions in terms of an approximate distribution that is valid in the low signal-to-noise ratio regime. This is done by first showing that the true phase distribution is well approximated by the von Mises distribution, then performing a convolution of three von Mises distributions. The resulting approximation superior to the normal distribution for all signal-to-noise ratios and, being fully analytic, allows for fast computations in statistical algorithms.ISSN
0004-6256Version
Final published versionae974a485f413a2113503eed53cd6c53
10.3847/1538-3881/ab83ed