Impact of Calibration and Position Errors on Astrophysical Parameters of the {\hi} 21cm Signal

Abstract: The Epoch of Reionization (EoR) and Cosmic Dawn (CD) are pivotal stages during the first billion years of the universe, exerting a significant influence on the development of cosmic structure. The detection of the redshifted 21-cm signal from these epochs is challenging due to the dominance of significantly stronger astrophysical foregrounds and the presence systematics. This work used the 21cm E2E pipeline, followed by simulation methodology described \cite{2022Mazumder} to conduct synthetic observations of a simulated sky model that includes both the redshifted 21-cm signal and foregrounds. A framework was constructed using Artificial Neural Networks (ANN) and Bayesian techniques to directly deduce astrophysical parameters from the measured power spectrum. This approach eliminates the need for explicit telescope effects correction in interferometric arrays such as SKA-Low and HERA. The present work investigates the impact of calibration and position errors on retrieving the redshifted 21-cm power spectrum for the above arrays. We assessed the effects of these inaccuracies on the deduced astrophysical parameters and established acceptable tolerance levels. Based on our results, the calibration error tolerance for ideal signal detection is 0.001 %. However, if the position errors exceed 0.048 arcseconds, the remaining foregrounds would obscure the target signal.