http://arxiv.org/abs/1409.4420
The 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 $SNR=\sqrt{N_k}$ for a Gaussian random field where $N_k$ is the number of Fourier modes in each $k$ bin. We find that the effect of non-Gaussianity on the $SNR$ does not depend on $k$. Non-Gaussianity is important at high $SNR$ where it imposes an upper limit $[SNR]_l$. It is not possible to achieve $SNR > [SNR]_l$ even if $N_k$ is increased. The value of $[SNR]_l$ falls as reionization proceeds, dropping from $\sim 500$ at $\bar{x}_{{\rm HI}} = 0.8-0.9$ to $\sim 10$ at $\bar{x}_{{\rm HI}} = 0.15$. For $SNR \ll [SNR]_l$ we find $SNR = \sqrt{N_k}/A$ with $A \sim 1.5 – 2.5$, roughly consistent with the Gaussian prediction. We present a fitting formula for the $SNR$ as a function of $N_k$, 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.
R. Mondal, S. Bharadwaj, S. Majumdar, et. al.
Wed, 17 Sep 14
30/67
Comments: 4 pages, 5 figures, comments are welcome
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