A study of fundamental limitations to statistical detection of redshifted HI 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 HI power spectrum from the Epoch of Reionization (EoR). We derive limits on the sensitivity of a Fouri...
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creator | Thyagarajan, Nithyanandan Shankar, N Udaya Subrahmanyan, Ravi Arcus, Wayne Bernardi, Gianni Bowman, Judd D Briggs, Frank Bunton, John D Cappallo, Roger J Corey, Brian E deSouza, Ludi Emrich, David Gaensler, Bryan M Goeke, Robert F Greenhill, Lincoln J Hazelton, Bryna J Herne, David Hewitt, Jacqueline N Johnston-Hollitt, Melanie Kaplan, David L Kasper, Justin C Kincaid, Barton B Koenig, Ronald Kratzenberg, Eric Lonsdale, Colin J Lynch, Mervyn J S Russell McWhirter Mitchell, Daniel A Morales, Miguel F Morgan, Edward H Oberoi, Divya Ord, Stephen M Pathikulangara, Joseph Remillard, Ronald A Rogers, Alan E E Roshi, Anish A Salah, Joseph E Sault, Robert J Srivani, K S Stevens, Jamie B Thiagaraj, Prabu Tingay, Steven J Wayth, Randall B Waterson, Mark Webster, Rachel L Whitney, Alan R Williams, Andrew J Williams, Christopher L Wyithe, J Stuart B |
description | 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 HI 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 HI power spectrum, we derive an expression for and estimate the contamination from extragalactic point-like sources in three-dimensional k-space. Sensitivity for EoR HI power spectrum detection is estimated for different observing modes with MWA. With 1000 hours of observing on a single field using the 128-tile MWA, EoR detection is feasible (S/N > 1 for \(k\lesssim 0.8\) Mpc\(^{-1}\)). 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. |
doi_str_mv | 10.48550/arxiv.1308.0565 |
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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 HI power spectrum, we derive an expression for and estimate the contamination from extragalactic point-like sources in three-dimensional k-space. Sensitivity for EoR HI power spectrum detection is estimated for different observing modes with MWA. With 1000 hours of observing on a single field using the 128-tile MWA, EoR detection is feasible (S/N > 1 for \(k\lesssim 0.8\) Mpc\(^{-1}\)). 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.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1308.0565</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Bandpass ; Configurations ; Contamination ; Fourier telescopy ; Ionization ; Noise ; Physics - Cosmology and Nongalactic Astrophysics ; Sample variance ; Sensitivity ; Thermal noise ; Uncertainty ; Windows (computer programs)</subject><ispartof>arXiv.org, 2013-09</ispartof><rights>2013. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27902</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.1308.0565$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1088/0004-637X/776/1/6$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Thyagarajan, Nithyanandan</creatorcontrib><creatorcontrib>Shankar, N Udaya</creatorcontrib><creatorcontrib>Subrahmanyan, Ravi</creatorcontrib><creatorcontrib>Arcus, Wayne</creatorcontrib><creatorcontrib>Bernardi, Gianni</creatorcontrib><creatorcontrib>Bowman, Judd D</creatorcontrib><creatorcontrib>Briggs, Frank</creatorcontrib><creatorcontrib>Bunton, John D</creatorcontrib><creatorcontrib>Cappallo, Roger J</creatorcontrib><creatorcontrib>Corey, Brian E</creatorcontrib><creatorcontrib>deSouza, Ludi</creatorcontrib><creatorcontrib>Emrich, David</creatorcontrib><creatorcontrib>Gaensler, Bryan M</creatorcontrib><creatorcontrib>Goeke, Robert F</creatorcontrib><creatorcontrib>Greenhill, Lincoln J</creatorcontrib><creatorcontrib>Hazelton, Bryna J</creatorcontrib><creatorcontrib>Herne, David</creatorcontrib><creatorcontrib>Hewitt, Jacqueline N</creatorcontrib><creatorcontrib>Johnston-Hollitt, Melanie</creatorcontrib><creatorcontrib>Kaplan, David L</creatorcontrib><creatorcontrib>Kasper, Justin C</creatorcontrib><creatorcontrib>Kincaid, Barton B</creatorcontrib><creatorcontrib>Koenig, Ronald</creatorcontrib><creatorcontrib>Kratzenberg, Eric</creatorcontrib><creatorcontrib>Lonsdale, Colin J</creatorcontrib><creatorcontrib>Lynch, Mervyn J</creatorcontrib><creatorcontrib>S Russell McWhirter</creatorcontrib><creatorcontrib>Mitchell, Daniel A</creatorcontrib><creatorcontrib>Morales, Miguel F</creatorcontrib><creatorcontrib>Morgan, Edward H</creatorcontrib><creatorcontrib>Oberoi, Divya</creatorcontrib><creatorcontrib>Ord, Stephen M</creatorcontrib><creatorcontrib>Pathikulangara, Joseph</creatorcontrib><creatorcontrib>Remillard, Ronald A</creatorcontrib><creatorcontrib>Rogers, Alan E E</creatorcontrib><creatorcontrib>Roshi, Anish A</creatorcontrib><creatorcontrib>Salah, Joseph E</creatorcontrib><creatorcontrib>Sault, Robert J</creatorcontrib><creatorcontrib>Srivani, K S</creatorcontrib><creatorcontrib>Stevens, Jamie B</creatorcontrib><creatorcontrib>Thiagaraj, Prabu</creatorcontrib><creatorcontrib>Tingay, Steven J</creatorcontrib><creatorcontrib>Wayth, Randall B</creatorcontrib><creatorcontrib>Waterson, Mark</creatorcontrib><creatorcontrib>Webster, Rachel L</creatorcontrib><creatorcontrib>Whitney, Alan R</creatorcontrib><creatorcontrib>Williams, Andrew J</creatorcontrib><creatorcontrib>Williams, Christopher L</creatorcontrib><creatorcontrib>Wyithe, J Stuart B</creatorcontrib><title>A study of fundamental limitations to statistical detection of redshifted HI from the epoch of reionization</title><title>arXiv.org</title><description>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 HI 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 HI power spectrum, we derive an expression for and estimate the contamination from extragalactic point-like sources in three-dimensional k-space. Sensitivity for EoR HI power spectrum detection is estimated for different observing modes with MWA. With 1000 hours of observing on a single field using the 128-tile MWA, EoR detection is feasible (S/N > 1 for \(k\lesssim 0.8\) Mpc\(^{-1}\)). 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. 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magnitudes of three fundamental sources of uncertainty, namely, foreground contamination, thermal noise and sample variance in detecting the HI 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 HI power spectrum, we derive an expression for and estimate the contamination from extragalactic point-like sources in three-dimensional k-space. Sensitivity for EoR HI power spectrum detection is estimated for different observing modes with MWA. With 1000 hours of observing on a single field using the 128-tile MWA, EoR detection is feasible (S/N > 1 for \(k\lesssim 0.8\) Mpc\(^{-1}\)). 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.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1308.0565</doi><oa>free_for_read</oa></addata></record> |
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subjects | Bandpass Configurations Contamination Fourier telescopy Ionization Noise Physics - Cosmology and Nongalactic Astrophysics Sample variance Sensitivity Thermal noise Uncertainty Windows (computer programs) |
title | A study of fundamental limitations to statistical detection of redshifted HI from the epoch of reionization |
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