Precise measurements of the 21 cm power spectrum are crucial for
understanding the physical processes of hydrogen reionization. Currently, this
probe is being pursued by low-frequency radio interferometer arrays. As these
experiments come closer to making a first detection of the signal, error
estimation will play an increasingly important role in setting robust
measurements. Using the delay power spectrum approach, we have produced a
critical examination of different ways that one can estimate error bars on the
power spectrum. We do this through a synthesis of analytic work, simulations of
toy models, and tests on small amounts of real data. We find that, although
computed independently, the different error bar methodologies are in good
agreement with each other in the noise-dominated regime of the power spectrum.
For our preferred methodology, the predicted probability distribution function
is consistent with the empirical noise power distributions from both simulated
and real data. This diagnosis is mainly in support of the forthcoming HERA
upper limit, and also is expected to be more generally applicable.
Description
Methods of Error Estimation for Delay Power Spectra in $21\,\textrm{cm}$ Cosmology
%0 Generic
%1 tan2021methods
%A Tan, Jianrong
%A Liu, Adrian
%A Kern, Nicholas S.
%A Abdurashidova, Zara
%A Aguirre, James E.
%A Alexander, Paul
%A Ali, Zaki S.
%A Balfour, Yanga
%A Beardsley, Adam P.
%A Bernardi, Gianni
%A Billings, Tashalee S.
%A Bowman, Judd D.
%A Bradley, Richard F.
%A Bull, Philip
%A Burba, Jacob
%A Carey, Steven
%A Carilli, Christopher L.
%A Cheng, Carina
%A DeBoer, David R.
%A Dexter, Matt
%A Acedo, Eloy de Lera
%A Dillon, Joshua S.
%A Ely, John
%A Ewall-Wice, Aaron
%A Fagnoni, Nicolas
%A Fritz, Randall
%A Furlanetto, Steve R.
%A Gale-Sides, Kingsley
%A Glendenning, Brian
%A Gorthi, Deepthi
%A Greig, Bradley
%A Grobbelaar, Jasper
%A Halday, Ziyaad
%A Hazelton, Bryna J.
%A Hewitt, Jacqueline N.
%A Hickish, Jack
%A Jacobs, Daniel C.
%A Julius, Austin
%A Kerrigan, Joshua
%A Kittiwisit, Piyanat
%A Kohn, Saul A.
%A Kolopanis, Matthew
%A Lanman, Adam
%A La Plante, Paul
%A Lekalake, Telalo
%A MacMahon, David
%A Malan, Lourence
%A Malgas, Cresshim
%A Maree, Matthys
%A Martinot, Zachary E.
%A Matsetela, Eunice
%A Mesinger, Andrei
%A Molewa, Mathakane
%A Morales, Miguel F.
%A Mosiane, Tshegofalang
%A Murray, Steven G.
%A Neben, Abraham R.
%A Nikolic, Bojan
%A Nunhokee, Chuneeta D.
%A Parsons, Aaron R.
%A Patra, Nipanjana
%A Pieterse, Samantha
%A Pober, Jonathan C.
%A Razavi-Ghods, Nima
%A Ringuette, Jon
%A Robnett, James
%A Rosie, Kathryn
%A Sims, Peter
%A Singh, Saurabh
%A Smith, Craig
%A Syce, Angelo
%A Thyagarajan, Nithyanandan
%A Williams, Peter K. G.
%A Zheng, Haoxuan
%D 2021
%K library
%T Methods of Error Estimation for Delay Power Spectra in $21\,cm$
Cosmology
%U http://arxiv.org/abs/2103.09941
%X Precise measurements of the 21 cm power spectrum are crucial for
understanding the physical processes of hydrogen reionization. Currently, this
probe is being pursued by low-frequency radio interferometer arrays. As these
experiments come closer to making a first detection of the signal, error
estimation will play an increasingly important role in setting robust
measurements. Using the delay power spectrum approach, we have produced a
critical examination of different ways that one can estimate error bars on the
power spectrum. We do this through a synthesis of analytic work, simulations of
toy models, and tests on small amounts of real data. We find that, although
computed independently, the different error bar methodologies are in good
agreement with each other in the noise-dominated regime of the power spectrum.
For our preferred methodology, the predicted probability distribution function
is consistent with the empirical noise power distributions from both simulated
and real data. This diagnosis is mainly in support of the forthcoming HERA
upper limit, and also is expected to be more generally applicable.
@misc{tan2021methods,
abstract = {Precise measurements of the 21 cm power spectrum are crucial for
understanding the physical processes of hydrogen reionization. Currently, this
probe is being pursued by low-frequency radio interferometer arrays. As these
experiments come closer to making a first detection of the signal, error
estimation will play an increasingly important role in setting robust
measurements. Using the delay power spectrum approach, we have produced a
critical examination of different ways that one can estimate error bars on the
power spectrum. We do this through a synthesis of analytic work, simulations of
toy models, and tests on small amounts of real data. We find that, although
computed independently, the different error bar methodologies are in good
agreement with each other in the noise-dominated regime of the power spectrum.
For our preferred methodology, the predicted probability distribution function
is consistent with the empirical noise power distributions from both simulated
and real data. This diagnosis is mainly in support of the forthcoming HERA
upper limit, and also is expected to be more generally applicable.},
added-at = {2021-03-19T12:29:16.000+0100},
author = {Tan, Jianrong and Liu, Adrian and Kern, Nicholas S. and Abdurashidova, Zara and Aguirre, James E. and Alexander, Paul and Ali, Zaki S. and Balfour, Yanga and Beardsley, Adam P. and Bernardi, Gianni and Billings, Tashalee S. and Bowman, Judd D. and Bradley, Richard F. and Bull, Philip and Burba, Jacob and Carey, Steven and Carilli, Christopher L. and Cheng, Carina and DeBoer, David R. and Dexter, Matt and Acedo, Eloy de Lera and Dillon, Joshua S. and Ely, John and Ewall-Wice, Aaron and Fagnoni, Nicolas and Fritz, Randall and Furlanetto, Steve R. and Gale-Sides, Kingsley and Glendenning, Brian and Gorthi, Deepthi and Greig, Bradley and Grobbelaar, Jasper and Halday, Ziyaad and Hazelton, Bryna J. and Hewitt, Jacqueline N. and Hickish, Jack and Jacobs, Daniel C. and Julius, Austin and Kerrigan, Joshua and Kittiwisit, Piyanat and Kohn, Saul A. and Kolopanis, Matthew and Lanman, Adam and La Plante, Paul and Lekalake, Telalo and MacMahon, David and Malan, Lourence and Malgas, Cresshim and Maree, Matthys and Martinot, Zachary E. and Matsetela, Eunice and Mesinger, Andrei and Molewa, Mathakane and Morales, Miguel F. and Mosiane, Tshegofalang and Murray, Steven G. and Neben, Abraham R. and Nikolic, Bojan and Nunhokee, Chuneeta D. and Parsons, Aaron R. and Patra, Nipanjana and Pieterse, Samantha and Pober, Jonathan C. and Razavi-Ghods, Nima and Ringuette, Jon and Robnett, James and Rosie, Kathryn and Sims, Peter and Singh, Saurabh and Smith, Craig and Syce, Angelo and Thyagarajan, Nithyanandan and Williams, Peter K. G. and Zheng, Haoxuan},
biburl = {https://www.bibsonomy.org/bibtex/26e27591948a453a62e015b92964cc6eb/gpkulkarni},
description = {Methods of Error Estimation for Delay Power Spectra in $21\,\textrm{cm}$ Cosmology},
interhash = {8470fda1cad4628750ef6ccb1117284e},
intrahash = {6e27591948a453a62e015b92964cc6eb},
keywords = {library},
note = {cite arxiv:2103.09941Comment: 34 Pages, 9 Figures, 4 Tables},
timestamp = {2021-03-19T12:29:16.000+0100},
title = {Methods of Error Estimation for Delay Power Spectra in $21\,\textrm{cm}$
Cosmology},
url = {http://arxiv.org/abs/2103.09941},
year = 2021
}