A STUDY OF FUNDAMENTAL LIMITATIONS TO STATISTICAL DETECTION OF REDSHIFTED H I FROM THE EPOCH OF REIONIZATION

In this paper, we explore for the first time the relative magnitudes of three fundamental sources of uncertainty, namely, foreground contamination, thermal noise, and sample variance, in detecting the H I power spectrum from the epoch of reionization (EoR). We derive limits on the sensitivity of a F...

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Bibliographic Details
Main Authors: Cappallo, Roger J., Corey, Brian E., Goeke, Robert F., Hewitt, Jacqueline N., Kincaid, Barton B., Kratzenberg, Eric W., Lonsdale, Colin John, McWhirter, Stephen R., Morgan, Edward H., Remillard, Ronald Alan, Rogers, Alan E. E., Salah, Joseph E., Whitney, Alan R., Williams, Christopher Leigh
Other Authors: Haystack Observatory
Format: Article
Language:en_US
Published: IOP Publishing 2014
Online Access:http://hdl.handle.net/1721.1/88461
https://orcid.org/0000-0002-4117-570X
https://orcid.org/0000-0001-7130-208X
https://orcid.org/0000-0003-1941-7458
Description
Summary:In this paper, we explore for the first time the relative magnitudes of three fundamental sources of uncertainty, namely, foreground contamination, thermal noise, and sample variance, in detecting the H I power spectrum from the epoch of reionization (EoR). We derive limits on the sensitivity of a Fourier synthesis telescope to detect EoR based on its array configuration and a statistical representation of images made by the instrument. We use the Murchison Widefield Array (MWA) configuration for our studies. Using a unified framework for estimating signal and noise components in the H I power spectrum, we derive an expression for and estimate the contamination from extragalactic point-like sources in three-dimensional k-space. Sensitivity for EoR H I power spectrum detection is estimated for different observing modes with MWA. With 1000 hr of observing on a single field using the 128 tile MWA, EoR detection is feasible (S/N >1 for k [< over ~] 0.8 Mpc[superscript –1]). Bandpass shaping and refinements to the EoR window are found to be effective in containing foreground contamination, which makes the instrument tolerant to imaging errors. We find that for a given observing time, observing many independent fields of view does not offer an advantage over a single field observation when thermal noise dominates over other uncertainties in the derived power spectrum.