Singular spectrum analysis of time series data from low-frequency radiometers, with an application to SITARA data

Understanding the temporal characteristics of data from low-frequency radio telescopes is of importance in devising suitable calibration strategies. Application of time-series analysis techniques to data from radio telescopes can reveal a wealth of information that can aid in calibration. In this pa...

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Main Authors: Thekkeppattu, Jishnu, Trott, Cathryn, McKinley, Benjamin
Format: Journal Article
Published: 2023
Online Access:http://purl.org/au-research/grants/arc/FT180100321
http://hdl.handle.net/20.500.11937/96489
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author Thekkeppattu, Jishnu
Trott, Cathryn
McKinley, Benjamin
author_facet Thekkeppattu, Jishnu
Trott, Cathryn
McKinley, Benjamin
author_sort Thekkeppattu, Jishnu
building Curtin Institutional Repository
collection Online Access
description Understanding the temporal characteristics of data from low-frequency radio telescopes is of importance in devising suitable calibration strategies. Application of time-series analysis techniques to data from radio telescopes can reveal a wealth of information that can aid in calibration. In this paper, we investigate singular spectrum analysis (SSA) as an analysis tool for radio data. We show the intimate connection between SSA and Fourier techniques. We develop the relevant mathematics starting with an idealized periodic dataset and proceeding to include various non-ideal behaviours. We propose a novel technique to obtain long-term gain changes in data, leveraging the periodicity arising from sky drift through the antenna beams. We also simulate several plausible scenarios and apply the techniques to a 30-day time series data collected during 2021 June from SITARA – a short-spacing two element interferometer for global 21-cm detection. Applying the techniques to real data, we find that the first reconstructed component – the trend – has a strong anti-correlation with the local temperature suggesting temperature fluctuations as the most likely origin for the observed variations in the data. We also study the limitations of the calibration in the presence of diurnal gain variations and find that such variations are the likely impediment to calibrating SITARA data with SSA.
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spelling curtin-20.500.11937-964892025-01-14T01:01:50Z Singular spectrum analysis of time series data from low-frequency radiometers, with an application to SITARA data Thekkeppattu, Jishnu Trott, Cathryn McKinley, Benjamin Understanding the temporal characteristics of data from low-frequency radio telescopes is of importance in devising suitable calibration strategies. Application of time-series analysis techniques to data from radio telescopes can reveal a wealth of information that can aid in calibration. In this paper, we investigate singular spectrum analysis (SSA) as an analysis tool for radio data. We show the intimate connection between SSA and Fourier techniques. We develop the relevant mathematics starting with an idealized periodic dataset and proceeding to include various non-ideal behaviours. We propose a novel technique to obtain long-term gain changes in data, leveraging the periodicity arising from sky drift through the antenna beams. We also simulate several plausible scenarios and apply the techniques to a 30-day time series data collected during 2021 June from SITARA – a short-spacing two element interferometer for global 21-cm detection. Applying the techniques to real data, we find that the first reconstructed component – the trend – has a strong anti-correlation with the local temperature suggesting temperature fluctuations as the most likely origin for the observed variations in the data. We also study the limitations of the calibration in the presence of diurnal gain variations and find that such variations are the likely impediment to calibrating SITARA data with SSA. 2023 Journal Article http://hdl.handle.net/20.500.11937/96489 10.1093/mnras/stad522 http://purl.org/au-research/grants/arc/FT180100321 fulltext
spellingShingle Thekkeppattu, Jishnu
Trott, Cathryn
McKinley, Benjamin
Singular spectrum analysis of time series data from low-frequency radiometers, with an application to SITARA data
title Singular spectrum analysis of time series data from low-frequency radiometers, with an application to SITARA data
title_full Singular spectrum analysis of time series data from low-frequency radiometers, with an application to SITARA data
title_fullStr Singular spectrum analysis of time series data from low-frequency radiometers, with an application to SITARA data
title_full_unstemmed Singular spectrum analysis of time series data from low-frequency radiometers, with an application to SITARA data
title_short Singular spectrum analysis of time series data from low-frequency radiometers, with an application to SITARA data
title_sort singular spectrum analysis of time series data from low-frequency radiometers, with an application to sitara data
url http://purl.org/au-research/grants/arc/FT180100321
http://hdl.handle.net/20.500.11937/96489