Predictions for measuring the 21-cm multi-frequency angular power spectrum using SKA-Low

Abstract

The light-cone (LC) effect causes the mean as well as the statistical properties of the redshifted 21-cm signal $T_{\mathrm{b}}(\hat{\mathbf{n}},\nu )$ to change with frequency $\nu$ (or cosmic time). Consequently, the statistical homogeneity (ergodicity) of the signal along the line of sight (LoS) direction is broken. This is a severe problem particularly during the Epoch of Reionization (EoR) when the mean neutral hydrogen fraction (${\bar{x}}_{\mathrm{HI}}$) changes rapidly as the universe evolves. This will also pose complications for large bandwidth observations. These effects imply that the 3D power spectrum $P(k)$ fails to quantify the entire second-order statistics of the signal as it assumes the signal to be ergodic and periodic along the LoS. As a proper alternative to $P(k)$, we use the multi-frequency angular power spectrum (MAPS) ${\mathcal{C}}_{\ell }({\nu }_1,{\nu }_2)$ which does not assume the signal to be ergodic and periodic along the LoS. Here, we study the prospects for measuring the EoR 21-cm MAPS using future observations with the upcoming SKA-Low. Ignoring any contribution from the foregrounds, we find that the EoR 21-cm MAPS can be measured at a confidence level $\ge 5\sigma$ at angular scales $\ell \sim 1300$ for total observation time $t_{\mathrm{obs}}\ge 128\mathrm{hrs}$ across $\sim 44\mathrm{MHz}$ observational bandwidth. We also quantitatively address the effects of foregrounds on MAPS detectability forecast by avoiding signal contained within the foreground wedge in $(k_{\perp },k_{\parallel })$ plane. These results are very relevant for the upcoming large bandwidth EoR experiments as previous predictions were all restricted to individually analyzing the signal over small frequency (or equivalently redshift) intervals.

arXiv commentPublished in Monthly Notices of the Royal Astronomical Society (MNRAS). Available at https://doi.org/10.1093/mnras/staa1026

References in corpus (94)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• LOFAR: The LOw-Frequency ARray
• Constraining the Evolution of the Ionizing Background and the Epoch of Reionization with z ~ 6 Quasars II: A Sample of 19 Quasars
• Evidence for Reionization at z ~ 6: Detection of a Gunn-Peterson Trough in a z=6.28 Quasar
• Cosmic Reionization and Early Star-Forming Galaxies: A Joint Analysis of New Constraints from Planck and Hubble Space Telescope
• 21cmFAST: A Fast, Semi-Numerical Simulation of the High-Redshift 21-cm Signal
• Statistics of 207 Lya Emitters at a Redshift Near 7: Constraints on Reionization and Galaxy Formation Models
• Hydrogen Epoch of Reionization Array (HERA)
• New Constraints on Cosmic Reionization from the 2012 Hubble Ultra Deep Field Campaign
• Evolution of the Ionizing Background and the Epoch of Reionization from the Spectra of z~6 Quasars
• Model-independent evidence in favor of an end to reionization by z~6
• Cosmological Parameter Estimation Using 21 cm Radiation from the Epoch of Reionization
• 21 Centimeter Fluctuations from Cosmic Gas at High Redshifts
• Evidence of patchy hydrogen reionization from an extreme Ly$\alpha$ trough below redshift six
• Planck intermediate results. XLVI. Reduction of large-scale systematic effects in HFI polarization maps and estimation of the reionization optical depth
• The morphology of HII regions during reionization
• Bright Source Subtraction Requirements For Redshifted 21 cm Measurements
• What Next-Generation 21 cm Power Spectrum Measurements Can Teach Us About the Epoch of Reionization
• Reionization and the Cosmic Dawn with the Square Kilometre Array
• ARCADE 2 Measurement of the Extra-Galactic Sky Temperature at 3-90 GHz
• A simulation calibrated limit on the HI power spectrum from the GMRT Epoch of Reionization experiment
• Quantitative Constraints on the Reionization History from the IGM Damping Wing Signature in Two Quasars at z > 7
• Four Fundamental Foreground Power Spectrum Shapes for 21 cm Cosmology Observations
• Improved upper limits on the 21-cm signal power spectrum of neutral hydrogen at $\mathbf{z}\approx 9.1$ from LOFAR
• New Limits on 21cm EoR From PAPER-32 Consistent with an X-Ray Heated IGM at z=7.7
• PAPER-64 Constraints on Reionization: The 21cm Power Spectrum at z=8.4
• The Reionization History at High Redshifts I: Physical Models and New Constraints from CMB Polarization
• Planck intermediate results. XLVII. Planck constraints on reionization history
• C^2-Ray: A new method for photon-conserving transport of ionizing radiation
• Inside-out or Outside-in: The topology of reionization in the photon-starved regime suggested by Lyman-alpha forest data
• Foregrounds for observations of the cosmological 21 cm line: I. First Westerbork measurements of Galactic emission at 150 MHz in a low latitude field
• Opening the 21cm EoR Window: Measurements of Foreground Isolation with PAPER
• Self-regulated reionization
• Accelerated Evolution of Ly$\alpha$ Luminosity Function at $\text{z}\gtrsim 7$ Revealed by the Subaru Ultra-Deep Survey for Ly$\alpha$ Emitters at $\text{z}=7.3$
• Constraints on reionisation from the z=7.5 QSO ULASJ1342+0928
• Detecting the Rise and Fall of 21 cm Fluctuations with the Murchison Widefield Array
• On using visibility correlations to probe the HI distribution from the dark ages to the present epoch I: Formalism and the expected signal
• The Reionization and Galaxy Evolution Probed by z=7 Lyman Alpha Emitters
• Initial deep LOFAR observations of Epoch of Reionization windows: I. The North Celestial Pole
• Are we witnessing the epoch of reionisation at $z=7.1$ from the spectrum of J1120+0641?
• First Results from the Lyman Alpha Galaxies in the Epoch of Reionization (LAGER) Survey: Cosmological Reionization at z ~ 7
• High Performance P3M N-body code: CUBEP3M
• Cosmic reionization after Planck
• Interferometric Observation of Cosmic Microwave Background Anisotropies
• Power Spectrum Sensitivity and the Design of Epoch of Reionization Observatories
• Improving Foreground Subtraction in Statistical Observations of 21 cm Emission from the Epoch of Reionization
• Statistical 21-cm Signal Separation via Gaussian Process Regression Analysis
• Foregrounds for redshifted 21 cm studies of reionization: GMRT 153 MHz observations
• Quantifying the non-Gaussianity in the EoR 21-cm signal through bispectrum
• Characterizing Foreground for redshifted 21-cm radiation: 150 MHz GMRT observations
• The multi-frequency angular power spectrum of the epoch of reionization 21 cm signal
• Light cone effect on the reionization 21-cm power spectrum
• The Lyman-alpha luminosity function at z=5.7-6.6 and the steep drop of the faint end: implications for reionization
• The first (nearly) model-independent constraint on the neutral hydrogen fraction at z~5--6
• Non-parametric foreground subtraction for 21cm epoch of reionization experiments
• HI Fluctuations at Large Redshifts: I--Visibility correlation
• GRB 130606A as a Probe of the Intergalactic Medium and the Interstellar Medium in a Star-forming Galaxy in the First Gyr After the Big Bang
• Can 21-cm observations discriminate between high-mass and low-mass galaxies as reionization sources?
• Cosmic reionization after Planck II: contribution from quasars
• The Importance of Wide-field Foreground Removal for 21 cm Cosmology: A Demonstration With Early MWA Epoch of Reionization Observations
• Multi-redshift limits on the 21cm power spectrum from PAPER
• A New Constraint on Reionization from Evolution of the Ly$\alpha$ Luminosity Function at $z\sim 6-7$ Probed by a Deep Census of $z=7.0$ Ly$\alpha$ Emitter Candidates to 0.3 $L^{\ast }$
• Probing non-Gaussian features in the HI distribution at the epoch of reionization
• Improved foreground removal in GMRT 610 MHz observations towards redshifted 21-cm tomography
• The Murchison Widefield Array 21 cm Power Spectrum Analysis Methodology
• Constraining the astrophysics and cosmology from 21cm tomography using deep learning with the SKA
• The EoR Sensitivity of the Murchison Widefield Array
• Light cone effect on the reionization 21-cm signal II: Evolution, anisotropies and observational implications
• Statistics of the epoch of reionization (EoR) 21-cm signal -- II. The evolution of the power spectrum error-covariance
• The effect of non-Gaussianity on error predictions for the Epoch of Reionization (EoR) 21-cm power spectrum
• Constraining High Redshift X-ray Sources with Next Generation 21 cm Power Spectrum Measurements
• Visibility based angular power spectrum estimation in low frequency radio interferometric observations
• The Large-Scale Observational Signatures of Low-Mass Galaxies During Reionization
• Towards simulating and quantifying the light-cone EoR 21-cm signal
• Probing the Neutral Fraction of the IGM with GRBs during the Epoch of Reionization
• Imaging neutral hydrogen on large-scales during the Epoch of Reionization with LOFAR
• Sensitivity for 21cm Bispectrum from Epoch of Reionization
• Light-cone anisotropy in 21cm fluctuations during the epoch of reionization
• Reionization on Large Scales IV: Predictions for the 21 cm signal incorporating the light cone effect
• Statistics of the epoch of reionization 21-cm signal - I. Power spectrum error-covariance
• Foreground removal for Square Kilometre Array observations of the Epoch of Reionization with the Correlated Component Analysis
• Neutral island statistics during reionization from 21-cm tomography
• Improved 21 cm Epoch Of Reionization Power Spectrum Measurements with a Hybrid Foreground Subtraction and Avoidance Technique
• Nonlinear Bias of Cosmological Halo Formation in the Early Universe
• Light cone anisotropy in 21 cm signal from the epoch of reionization
• Tapering the sky response for angular power spectrum estimation from low-frequency radio-interferometric data
• HI Fluctuations at Large Redshifts: II - the Signal Expected for GMRT
• The impact of non-Gaussianity on the error covariance for observations of the Epoch of Reionization 21-cm power spectrum
• A Tapered Gridded Estimator (TGE) for the Multi-Frequency Angular Power Spectrum (MAPS) and the Cosmological HI 21-cm Power Spectrum
• A method to determine the evolution history of the mean neutral Hydrogen fraction
• Exploring the evolution of Reionisation using a wavelet transform and the light cone effect
• Constraining the reionization history with CMB and spectroscopic observations
• On the Prospects of Measuring the Cosmic Dawn 21-cm Power Spectrum using the Upgraded Giant Meterwave Radio Telescope (uGMRT)
• Simulated Predictions for HI at $z=3.35$ with the Ooty Wide Field Array (OWFA) -- II: Foreground Avoidance

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• Redshifted 21-cm Bispectrum I: Impact of the Redshift Space Distortions on the Signal from the Epoch of Reionization
• Redshifted 21-cm bispectrum II: Impact of the spin temperature fluctuations and redshift space distortions on the signal from the Cosmic Dawn
• Demonstrating the Tapered Gridded Estimator (TGE) for the Cosmological HI 21-cm Power Spectrum using $150\mathrm{MHz}$ GMRT observations
• First multi-redshift limits on post-Epoch of Reionization (post-EoR) 21 cm signal from z = 1.96 - 3.58 using uGMRT
• The impact of non-Gaussianity on the Epoch of Reionization parameter forecast using 21-cm power spectrum measurements
• The Epoch of Reionization 21-cm Bispectrum: The impact of light-cone effects and detectability
• The large-scale 21-cm power spectrum from reionization
• The Tianlai dish array low-z surveys forecasts
• Constraints on Dark Matter-Neutrino Interaction from 21-cm Cosmology and Forecasts on SKA1-Low
• Probing early universe through redshifted 21-cm signal: Modelling and observational challenges
• The multi-frequency angular power spectrum in parameter studies of the cosmic 21-cm signal
• Constraining low redshift [CII] Emission by Cross-Correlating FIRAS and BOSS Data
• Distinguishing reionization models using the largest cluster statistics of the 21-cm maps
• Multi-frequency angular power spectrum of the 21~cm signal from the Epoch of Reionisation using the Murchison Widefield Array
• The Tracking Tapered Gridded Estimator (TTGE) for the power spectrum from drift scan observations
• Studying the Multi-frequency Angular Power Spectrum of the Cosmic Dawn 21-cm Signal
• Interpreting the HI 21-cm cosmology maps through Largest Cluster Statistics -- I: Impact of the synthetic SKA1-Low observations
• Linear Polarization of the 21 cm Line from the Epoch of Reionization
• Simulated differential observations of the Sunyaev-Zel'dovich Effect: Probing the Dark Ages and Epoch of Reionization
• Exploration of the high-redshift universe enabled by THESEUS
• The Evolving Power Spectrum for the light cone Epoch of Reionization (EoR) 21-cm signal
• Quantifying and mitigating the effect of snapshot interval in light-cone Epoch of Reionization 21-cm simulations