Epoch of reionization window. I. Mathematical formalism

By Adrian Liu, Aaron Parsons, Cathryn M. Trott. 2014

147 citations recorded by the source corpus.

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 nd that there are strong error correlations at high spatial wavenumbers 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.

Subfields: Aerospace Engineering, Astronomy and Astrophysics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/198cdd1fa704c6d5b885f06a7fa1d8fa6223cd10

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Citations in the corpus

Hydrogen Epoch of Reionization Array (HERA) (2016, methodology): “For further discussion and an analytical derivation, see Vedantham et al. (2012), Thyagarajan et al. (2013), Liu et al. (2014a) and Liu et al. (2014b).”
Calibration requirements for detecting the 21 cm epoch of reionization power spectrum and implications for the SKA (2016, background): “…wedge” due to the mode-mixing of power from small k‖ values into larger k‖ values as demonstrated in Figure 1 (Datta et al. 2010; Morales et al. 2012; Vedantham et al. 2012; Parsons et al. 2012b; Trott et al. 2012; Hazelton et al. 2013; Thyagarajan et al. 2013; Pober et al. 2013; Liu et al. 2014).”
LATE-TIME COSMOLOGY WITH 21 cm INTENSITY MAPPING EXPERIMENTS (2014, background): “…a level that the cosmological signal can be extracted in an unbiased way (Oh & Mack 2003; Barkana & Loeb 2005; Santos et al. 2005; Morales et al. 2006, 2012; Wang et al. 2006; Gleser et al. 2008; Jelić et al. 2008; Liu et al. 2009, 2014; Liu & Tegmark 2011; Petrovic & Oh 2011; Parsons et al. 2012).”
FIRST SEASON MWA EOR POWER SPECTRUM RESULTS AT REDSHIFT 7 (2016, background): “…of instrumental mode mixing, throwing power from spectrally smooth foregrounds to higher Fourier modes (Thyagarajan et al. 2015a,b; Trott et al. 2012; Liu et al. 2014a,b; Hazelton et al. 2013; Pober et al. 2013; Thyagarajan et al. 2013; Vedantham et al. 2012; Morales et al. 2012; Datta et al.…”
Improved upper limits on the 21 cm signal power spectrum of neutral hydrogen at z ≈ 9.1 from LOFAR (2020, methodology): “…predominantly foreground-contaminated region and only probe a k-space region where the 21-cm signal dominates (foreground avoidance strategy; e.g. Liu et al. 2014a; Trott et al. 2016), or by exploiting their different spectral (and spatial) correlation signature to separate them (foreground…”
21CMMC: an MCMC analysis tool enabling astrophysical parameter studies of the cosmic 21 cm signal (2015, background): “…across all frequencies, but instead localize the majority of the foreground noise into a foreground ‘wedge’ within cylindrical 2D k-space (Datta et al. 2010; Morales et al. 2012; Parsons et al. 2012b; Trott et al. 2012; Vedantham et al. 2012; Thyagarajan et al. 2013; Liu et al. 2014a,b).”