Spectral calibration requirements of radio interferometers for epoch of reionisation science with the SKA

Spectral features introduced by instrumental chromaticity of radio interferometers have the potential to negatively impact the ability to perform Epoch of Reionisation and Cosmic Dawn (EoR/CD) science. We describe instrument calibration choices that influence the spectral characteristics of the scie...

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Main Authors: Trott, Cathryn, Wayth, Randall
Format: Journal Article
Published: Cambridge University Press 2016
Online Access:http://purl.org/au-research/grants/arc/DE140100316
http://hdl.handle.net/20.500.11937/39030
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author Trott, Cathryn
Wayth, Randall
author_facet Trott, Cathryn
Wayth, Randall
author_sort Trott, Cathryn
building Curtin Institutional Repository
collection Online Access
description Spectral features introduced by instrumental chromaticity of radio interferometers have the potential to negatively impact the ability to perform Epoch of Reionisation and Cosmic Dawn (EoR/CD) science. We describe instrument calibration choices that influence the spectral characteristics of the science data, and assess their impact on EoR/CD statistical and tomographic experiments. Principally, we consider the intrinsic spectral response of the antennas, embedded within a complete frequency-dependent primary beam response, and instrument sampling. The analysis is applied to the proposed SKA1-Low EoR/CD experiments. We provide tolerances on the smoothness of the SKA station primary beam bandpass, to meet the scientific goals of statistical and tomographic (imaging) of EoR/CD programs. Two calibration strategies are tested: (1) fitting of each fine channel independently, and (2) fitting of an nth-order polynomial for each ~ 1 MHz coarse channel with (n+1)th-order residuals (n = 2, 3, 4). Strategy (1) leads to uncorrelated power in the 2D power spectrum proportional to the thermal noise power, thereby reducing the overall sensitivity. Strategy (2) leads to correlated residuals from the fitting, and residual signal power with (n+1)th-order curvature. For the residual power to be less than the thermal noise, the fractional amplitude of a fourth-order term in the bandpass across a single coarse channel must be <2.5% (50 MHz), <0.5% (150 MHz), <0.8% (200 MHz). The tomographic experiment places constraints on phase residuals in the bandpass. We find that the root-mean-square variability over all stations of the change in phase across any fine channel (4.578 kHz) should not exceed 0.2 degrees.
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spelling curtin-20.500.11937-390302022-09-01T03:17:56Z Spectral calibration requirements of radio interferometers for epoch of reionisation science with the SKA Trott, Cathryn Wayth, Randall Spectral features introduced by instrumental chromaticity of radio interferometers have the potential to negatively impact the ability to perform Epoch of Reionisation and Cosmic Dawn (EoR/CD) science. We describe instrument calibration choices that influence the spectral characteristics of the science data, and assess their impact on EoR/CD statistical and tomographic experiments. Principally, we consider the intrinsic spectral response of the antennas, embedded within a complete frequency-dependent primary beam response, and instrument sampling. The analysis is applied to the proposed SKA1-Low EoR/CD experiments. We provide tolerances on the smoothness of the SKA station primary beam bandpass, to meet the scientific goals of statistical and tomographic (imaging) of EoR/CD programs. Two calibration strategies are tested: (1) fitting of each fine channel independently, and (2) fitting of an nth-order polynomial for each ~ 1 MHz coarse channel with (n+1)th-order residuals (n = 2, 3, 4). Strategy (1) leads to uncorrelated power in the 2D power spectrum proportional to the thermal noise power, thereby reducing the overall sensitivity. Strategy (2) leads to correlated residuals from the fitting, and residual signal power with (n+1)th-order curvature. For the residual power to be less than the thermal noise, the fractional amplitude of a fourth-order term in the bandpass across a single coarse channel must be <2.5% (50 MHz), <0.5% (150 MHz), <0.8% (200 MHz). The tomographic experiment places constraints on phase residuals in the bandpass. We find that the root-mean-square variability over all stations of the change in phase across any fine channel (4.578 kHz) should not exceed 0.2 degrees. 2016 Journal Article http://hdl.handle.net/20.500.11937/39030 10.1017/pasa.2016.18 http://purl.org/au-research/grants/arc/DE140100316 Cambridge University Press fulltext
spellingShingle Trott, Cathryn
Wayth, Randall
Spectral calibration requirements of radio interferometers for epoch of reionisation science with the SKA
title Spectral calibration requirements of radio interferometers for epoch of reionisation science with the SKA
title_full Spectral calibration requirements of radio interferometers for epoch of reionisation science with the SKA
title_fullStr Spectral calibration requirements of radio interferometers for epoch of reionisation science with the SKA
title_full_unstemmed Spectral calibration requirements of radio interferometers for epoch of reionisation science with the SKA
title_short Spectral calibration requirements of radio interferometers for epoch of reionisation science with the SKA
title_sort spectral calibration requirements of radio interferometers for epoch of reionisation science with the ska
url http://purl.org/au-research/grants/arc/DE140100316
http://hdl.handle.net/20.500.11937/39030