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Context. The redshifted 21 cm signal from the Epoch of Reionization (EoR) directly probes the ionization and thermal states of the intergalactic medium during that period. In particular, the distribution of the ionized regions around the radiating sources during EoR introduces scale-dependent features in the spherically averaged EoR 21 cm signal power spectrum. Aims. The goal is to study these scale-dependent features at different stages of reionization using numerical simulations and to build a source model-independent framework to probe the properties of the intergalactic medium using EoR 21 cm signal power spectrum measurements. Methods. Under the assumption of high spin temperature, we modeled the redshift evolution of the ratio of the EoR 21 cm brightness temperature power spectrum to the corresponding density power spectrum using an ansatz consisting of a set of redshift and scale-independent parameters. This set of eight parameters probes the redshift evolution of the average ionization fraction and the quantities related to the morphology of the ionized regions. Results. We tested this ansatz on different reionization scenarios generated using different simulation algorithms and found that it is able to recover the redshift evolution of the average neutral fraction within an absolute deviation ≲0.1. Conclusions. Our framework allows us to interpret 21 cm signal power spectra in terms of parameters related to the state of the IGM. This source model-independent framework is able to efficiently constrain reionization scenarios using multi-redshift power spectrum measurements with ongoing and future radio telescopes such as LOFAR, MWA, HERA, and SKA. This will add independent information regarding the EoR IGM properties. [ABSTRACT FROM AUTHOR]

This correction notice addresses some typographical errors in a paper titled "First upper limits on the 21 cm signal power spectrum from cosmic dawn from one night of observations with NenuFAR." The corrections include fixing the units for the color bar in a figure, clarifying the baselines used by LOFAR to compute the power spectrum, and adjusting the caption in another figure. These corrections are only typographical and do not impact the text, results, or conclusions of the paper. The authors of the paper are listed as S. Munshi, F. G. Mertens, L. V. E. Koopmans, A. R. Offringa, B. Semelin, D. Aubert, R. Barkana, A. Bracco, S. A. Brackenhoff, B. Cecconi, E. Ceccotti, S. Corbel, A. Fialkov, B. K. Gehlot, R. Ghara, J. N. Girard, J. M. Grießmeier, C. Höfer, I. Hothi, R. Mériot, M. Mevius, P. Ocvirk, A. K. Shaw, G. Theureau, S. Yatawatta, P. Zarka, and S. Zaroubi. [Extracted from the article]

We compare various foreground removal techniques that are being utilized to remove bright foregrounds in various experiments aiming to detect the redshifted 21 cm signal of neutral hydrogen from the epoch of reionization. In this work, we test the performance of removal techniques (FastICA, GMCA, and GPR) on 10 nights of LOFAR data and investigate the possibility of recovering the latest upper limit on the 21 cm signal. Interestingly, we find that GMCA and FastICA reproduce the most recent 2σ upper limit of |$\Delta ^2_{21} \lt $| (73)2 mK2 at k  = 0.075  h cMpc−1, which resulted from the application of GPR. We also find that FastICA and GMCA begin to deviate from the noise-limit at k -scales larger than ∼0.1  h cMpc−1. We then replicate the data via simulations to see the source of FastICA and GMCA's limitations, by testing them against various instrumental effects. We find that no single instrumental effect, such as primary beam effects or mode-mixing, can explain the poorer recovery by FastICA and GMCA at larger k -scales. We then test scale-independence of FastICA and GMCA, and find that lower k -scales can be modelled by a smaller number of independent components. For larger scales (k ≳ 0.1  h cMpc−1), more independent components are needed to fit the foregrounds. We conclude that, the current usage of GPR by the LOFAR collaboration is the appropriate removal technique. It is both robust and less prone to overfitting, with future improvements to GPR's fitting optimization to yield deeper limits. [ABSTRACT FROM AUTHOR]

We derive constraints on the thermal and ionization states of the intergalactic medium (IGM) at redshift ≈ 9.1 using new upper limits on the 21-cm power spectrum measured by the LOFAR radio telescope and a prior on the ionized fraction at that redshift estimated from recent cosmic microwave background (CMB) observations. We have used results from the reionization simulation code grizzly and a Bayesian inference framework to constrain the parameters which describe the physical state of the IGM. We find that, if the gas heating remains negligible, an IGM with ionized fraction ≳0.13 and a distribution of the ionized regions with a characteristic size ≳ 8  h −1 comoving megaparsec (Mpc) and a full width at half-maximum (FWHM) ≳16  h −1 Mpc is ruled out. For an IGM with a uniform spin temperature T S ≳ 3 K, no constraints on the ionized component can be computed. If the large-scale fluctuations of the signal are driven by spin temperature fluctuations, an IGM with a volume fraction ≲0.34 of heated regions with a temperature larger than CMB, average gas temperature 7–160 K, and a distribution of the heated regions with characteristic size 3.5–70 h −1 Mpc and FWHM of ≲110 h −1 Mpc is ruled out. These constraints are within the 95 per cent credible intervals. With more stringent future upper limits from LOFAR at multiple redshifts, the constraints will become tighter and will exclude an increasingly large region of the parameter space. [ABSTRACT FROM AUTHOR]

A new upper limit on the 21 cm signal power spectrum at a redshift of z  ≈ 9.1 is presented, based on 141 h of data obtained with the Low-Frequency Array (LOFAR). The analysis includes significant improvements in spectrally smooth gain-calibration, Gaussian Process Regression (GPR) foreground mitigation and optimally weighted power spectrum inference. Previously seen 'excess power' due to spectral structure in the gain solutions has markedly reduced but some excess power still remains with a spectral correlation distinct from thermal noise. This excess has a spectral coherence scale of 0.25–0.45 MHz and is partially correlated between nights, especially in the foreground wedge region. The correlation is stronger between nights covering similar local sidereal times. A best 2-σ upper limit of |$\Delta ^2_{21} \lt (73)^2\, \mathrm{mK^2}$| at |$k = 0.075\, \mathrm{h\, cMpc^{-1}}$| is found, an improvement by a factor ≈8 in power compared to the previously reported upper limit. The remaining excess power could be due to residual foreground emission from sources or diffuse emission far away from the phase centre, polarization leakage, chromatic calibration errors, ionosphere, or low-level radiofrequency interference. We discuss future improvements to the signal processing chain that can further reduce or even eliminate these causes of excess power. [ABSTRACT FROM AUTHOR]