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Calibration requirements for epoch of reionization 21-cm signal observations – I. Effect of time-correlated gains

Kumar, J and Dutta, P and Roy, N (2020) Calibration requirements for epoch of reionization 21-cm signal observations – I. Effect of time-correlated gains. In: Monthly Notices of the Royal Astronomical Society, 495 (4). pp. 3683-3694.

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Official URL: https://doi.org/10.1093/MNRAS/STAA1371

Abstract

The residual gain errors add to the systematics of the radio interferometric observations. In case of the high dynamic range observations, these systematic effects dominates over the thermal noise of the observation. In this work, we investigate the effect of time-correlated residual gain errors in the estimation of the power spectrum of the sky brightness distribution in high dynamic range observations. Particularly, we discuss a methodology to estimate the bias in the power spectrum estimator of the redshifted 21-cm signal from neutral hydrogen in the presence of bright extragalactic compact sources. We find, that for the visibility-based power spectrum estimators, particularly those use nearby baseline correlations to avoid noise bias, the bias in the power spectrum arises mainly from the time correlation in the residual gain error. The bias also depends on the baseline distribution for a particular observation. Analytical calculations show that the bias is dominant for certain types of baseline pairs used for the visibility correlation. We perform simulated observation of extragalactic compact sources in the presence of residual gain errors with the Giant Metrewave Radio Telescope like array and estimate the bias in the power spectrum. Our results indicate that in order to estimate the redshifted 21-cm power spectrum, better calibration techniques, and estimator development are required.

Item Type: Journal Article
Publication: Monthly Notices of the Royal Astronomical Society
Publisher: Oxford University Press
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Calibration; Errors; Interferometry; Numerical methods; Spectrum analysis; Telescopes; Visibility, Dark age, reionization, first star; Effect of time; Gain errors; Method: numerical; Methods:analytical; Methods:statistical; Power-spectra; Reionization; Residual gains; Technique: interferometric, Power spectrum
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 23 Jan 2023 11:25
Last Modified: 23 Jan 2023 11:25
URI: https://eprints.iisc.ac.in/id/eprint/79279

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