Papers › The effect of non-Gaussianity on error predictions for the Epoch of Reionization (EoR)...
The effect of non-Gaussianity on error predictions for the Epoch of Reionization (EoR) 21-cm power spectrum
Rajesh Mondal, Somnath Bharadwaj, Suman Majumdar, Apurba Bera, Ayan Acharyya
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The Epoch of Reionization (EoR) 21-cm signal is expected to become increasingly non-Gaussian as reionization proceeds. We have used semi-numerical simulations to study how this affects the error predictions for the EoR 21-cm power spectrum. We expect SNR=√(Nₖ) for a Gaussian random field where Nₖ is the number of Fourier modes in each k bin. We find that non-Gaussianity is important at high SNR where it imposes an upper limit [SNR]ₗ. For a fixed volume V, it is not possible to achieve SNR > [SNR]ₗ even if Nₖ is increased. The value of [SNR]ₗ falls as reionization proceeds, dropping from ∼500 at x̅_(HI) = 0.8-0.9 to ∼10 at x̅_(HI) = 0.15 for a [150.08 Mpc]³ simulation. We show that it is possible to interpret [SNR]ₗ in terms of the trispectrum, and we expect [SNR]ₗ ∝√(V) if the volume is increased. For SNR ≪[SNR]ₗ we find SNR = √(Nₖ)/A with A ∼0.95 - 1.75, roughly consistent with the Gaussian prediction. We present a fitting formula for the SNR as a function of Nₖ, with two parameters A and [SNR]ₗ that have to be determined using simulations. Our results are relevant for predicting the sensitivity of different instruments to measure the EoR 21-cm power spectrum, which till date have been largely based on the Gaussian assumption.
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