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    Epoch of reionization window. I. Mathematical formalism

    Access Status
    Fulltext not available
    Authors
    Liu, A.
    Parsons, A.
    Trott, Cathryn
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Liu, A. and Parsons, A. and Trott, C. 2014. Epoch of reionization window. I. Mathematical formalism. Physical Review D. 90 (2): pp. 023018-1-023018-27.
    Source Title
    Physical Review D
    DOI
    10.1103/PhysRevD.90.023018
    ISSN
    1550-2368
    School
    Department of Imaging and Applied Physics
    URI
    http://hdl.handle.net/20.500.11937/41316
    Collection
    • Curtin Research Publications
    Abstract

    The 21 cm line provides a powerful probe of astrophysics and cosmology at high redshifts, but unlocking the potential of this probe requires the robust mitigation of foreground contaminants that are typically several orders of magnitude brighter than the cosmological signal. Recent simulations and observations have shown that the smooth spectral structure of foregrounds combines with instrument chromaticity to contaminate a “wedge”-shaped region in cylindrical Fourier space. While previous efforts have explored the suppression of foregrounds within this wedge, as well as the avoidance of this highly contaminated region, all such efforts have neglected a rigorous examination of the error statistics associated with the wedge. Using a quadratic estimator formalism applied to the interferometric measurement equation, we provide a framework for such a rigorous analysis (incorporating a fully covariant treatment of errors). Additionally, we find that there are strong error correlations at high spatial wave numbers that have so far been neglected in sensitivity derivations. These error correlations substantially degrade the sensitivity of arrays relying on contributions from long baselines, compared to what one would estimate assuming uncorrelated errors.

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