Epoch of reionization window. I. Mathematical formalism

被引：223

作者：

Liu, Adrian ^{[1
,2
]}

Parsons, Aaron R. ^{[1
,3
]}

Trott, Cathryn M. ^{[4
,5
]}

机构：

[1] Univ Calif Berkeley, Dept Astron, Berkeley, CA 94720 USA

[2] Univ Calif Berkeley, Berkeley Ctr Cosmol Phys, Berkeley, CA 94720 USA

[3] Univ Calif Berkeley, Radio Astron Lab, Berkeley, CA 94720 USA

[4] Curtin Univ, Int Ctr Radio Astron Res, Bentley, WA, Australia

[5] Curtin Univ, ARC Ctr Excellence All Sky Astrophys CAASTRO, Bentley, WA 6009, Australia

来源：

PHYSICAL REVIEW D | 2014年 / 90卷 / 02期

关键词：

21 CM EPOCH; POWER SPECTRUM; FOREGROUND SUBTRACTION; INTERGALACTIC MEDIUM; COSMIC REIONIZATION; BASE-LINE; COSMOLOGY; ARRAY; FLUCTUATIONS; SENSITIVITY;

D O I：

10.1103/PhysRevD.90.023018

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：27

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