Overcoming real-world obstacles in 21 cm power spectrum estimation: A method demonstration and results from early Murchison Widefield Array data

We present techniques for bridging the gap between idealized inverse covariance weighted quadratic estimation of 21 cm power spectra and the real-world challenges presented universally by interferometric observation. By carefully evaluating various estimators and adapting our techniques for large bu...

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Main Authors: Dillon, J., Liu, A., Williams, C., Hewit, J., Tegmark, M., Morgan, E., Levine, A., Morales, M., Tingay, Steven, BERNARDI, G., Bowman, J., Briggs, F., Cappallo, R., Emrich, David, Mitchell, D., Oberoi, D., Prabu, T., Wayth, Randall, Webster, R.
Format: Journal Article
Published: American Physical Society 2014
Online Access:http://hdl.handle.net/20.500.11937/23524
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author Dillon, J.
Liu, A.
Williams, C.
Hewit, J.
Tegmark, M.
Morgan, E.
Levine, A.
Morales, M.
Tingay, Steven
BERNARDI, G.
Bowman, J.
Briggs, F.
Cappallo, R.
Emrich, David
Mitchell, D.
Oberoi, D.
Prabu, T.
Wayth, Randall
Webster, R.
author_facet Dillon, J.
Liu, A.
Williams, C.
Hewit, J.
Tegmark, M.
Morgan, E.
Levine, A.
Morales, M.
Tingay, Steven
BERNARDI, G.
Bowman, J.
Briggs, F.
Cappallo, R.
Emrich, David
Mitchell, D.
Oberoi, D.
Prabu, T.
Wayth, Randall
Webster, R.
author_sort Dillon, J.
building Curtin Institutional Repository
collection Online Access
description We present techniques for bridging the gap between idealized inverse covariance weighted quadratic estimation of 21 cm power spectra and the real-world challenges presented universally by interferometric observation. By carefully evaluating various estimators and adapting our techniques for large but incomplete data sets, we develop a robust power spectrum estimation framework that preserves the so-called "Epoch of Reionization (EoR) window" and keeps track of estimator errors and covariances. We apply our method to observations from the 32-tile prototype of the Murchinson Widefield Array to demonstrate the importance of a judicious analysis technique. Lastly, we apply our method to investigate the dependence of the clean EoR window on frequency—especially the frequency dependence of the so-called “wedge" feature—and establish upper limits on the power spectrum from z ¼ 6.2 to z ¼ 11:7. Our lowest limit is ?ðkÞ < 0.3 Kelvin at 95% confidence at a comoving scale k ¼ 0.046 Mpc-1 and z ¼ 9.5.
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publishDate 2014
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spelling curtin-20.500.11937-235242017-09-13T13:59:02Z Overcoming real-world obstacles in 21 cm power spectrum estimation: A method demonstration and results from early Murchison Widefield Array data Dillon, J. Liu, A. Williams, C. Hewit, J. Tegmark, M. Morgan, E. Levine, A. Morales, M. Tingay, Steven BERNARDI, G. Bowman, J. Briggs, F. Cappallo, R. Emrich, David Mitchell, D. Oberoi, D. Prabu, T. Wayth, Randall Webster, R. We present techniques for bridging the gap between idealized inverse covariance weighted quadratic estimation of 21 cm power spectra and the real-world challenges presented universally by interferometric observation. By carefully evaluating various estimators and adapting our techniques for large but incomplete data sets, we develop a robust power spectrum estimation framework that preserves the so-called "Epoch of Reionization (EoR) window" and keeps track of estimator errors and covariances. We apply our method to observations from the 32-tile prototype of the Murchinson Widefield Array to demonstrate the importance of a judicious analysis technique. Lastly, we apply our method to investigate the dependence of the clean EoR window on frequency—especially the frequency dependence of the so-called “wedge" feature—and establish upper limits on the power spectrum from z ¼ 6.2 to z ¼ 11:7. Our lowest limit is ?ðkÞ < 0.3 Kelvin at 95% confidence at a comoving scale k ¼ 0.046 Mpc-1 and z ¼ 9.5. 2014 Journal Article http://hdl.handle.net/20.500.11937/23524 10.1103/PhysRevD.89.023002 American Physical Society fulltext
spellingShingle Dillon, J.
Liu, A.
Williams, C.
Hewit, J.
Tegmark, M.
Morgan, E.
Levine, A.
Morales, M.
Tingay, Steven
BERNARDI, G.
Bowman, J.
Briggs, F.
Cappallo, R.
Emrich, David
Mitchell, D.
Oberoi, D.
Prabu, T.
Wayth, Randall
Webster, R.
Overcoming real-world obstacles in 21 cm power spectrum estimation: A method demonstration and results from early Murchison Widefield Array data
title Overcoming real-world obstacles in 21 cm power spectrum estimation: A method demonstration and results from early Murchison Widefield Array data
title_full Overcoming real-world obstacles in 21 cm power spectrum estimation: A method demonstration and results from early Murchison Widefield Array data
title_fullStr Overcoming real-world obstacles in 21 cm power spectrum estimation: A method demonstration and results from early Murchison Widefield Array data
title_full_unstemmed Overcoming real-world obstacles in 21 cm power spectrum estimation: A method demonstration and results from early Murchison Widefield Array data
title_short Overcoming real-world obstacles in 21 cm power spectrum estimation: A method demonstration and results from early Murchison Widefield Array data
title_sort overcoming real-world obstacles in 21 cm power spectrum estimation: a method demonstration and results from early murchison widefield array data
url http://hdl.handle.net/20.500.11937/23524