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    Interferometric Closure Phase Uncertainties in the Low Signal-to-noise Ratio Regime

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    Author
    Christian, Pierre
    Psaltis, Dimitrios cc
    Affiliation
    Univ Arizona, Dept Astron
    Issue Date
    2020-04-21
    Keywords
    Interferometers
    Astronomical instrumentation
    Astrostatistics
    
    Metadata
    Show full item record
    Publisher
    IOP PUBLISHING LTD
    Citation
    Pierre Christian and Dimitrios Psaltis 2020 AJ 159 226
    Journal
    ASTRONOMICAL JOURNAL
    Rights
    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
    0004-6256
    DOI
    10.3847/1538-3881/ab83ed
    Version
    Final published version
    ae974a485f413a2113503eed53cd6c53
    10.3847/1538-3881/ab83ed
    Scopus Count
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    UA Faculty Publications

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