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arXiv 1409.4420astro-ph.CO
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非高斯性对再电离期(EoR)21厘米功率谱误差预报的影响

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

摘要:

随着再电离的进行,预计再电离时期(EoR)21 cm信号将变得越来越非高斯。我们已经使用半数值模拟来研究这如何影响EoR 21厘米功率谱的误差预测。对于高斯随机场,我们期望$SNR=\sqrt{N_k}$,其中$N_k$是每个$k$ bin中的傅立叶模式的数量。我们发现,非高斯性是重要的,在高$SNR$,它规定了上限$[SNR]_l$。对于固定体积的$V$,即使增加$N_k$也不可能实现$SNR > [SNR]_l$。$[SNR]_l$的值随着再电离的进行而下降,对于$[150.08\, {\rm Mpc}]^3$模拟,从$\bar{x}_{HI} = 0.8-0.9$处的$\sim 500$下降到$\bar{x}_{HI} = 0.15 $处的$\sim 10$。我们表明,这是可能的解释$[SNR]_l$的三谱,我们预计$[SNR]_l \propto \sqrt{V}$,如果体积增加。对于$SNR \ll [SNR]_l$,我们发现$SNR = \sqrt{N_k}/A $与$A \sim 0.95 - 1.75$,大致与高斯预测一致。我们提出了一个拟合公式$SNR$作为$N_k$的函数,有两个参数$A$和$[SNR]_l$,必须使用模拟来确定。我们的研究结果是相关的预测不同的仪器来测量EoR 21厘米功率谱,到目前为止,主要是基于高斯假设的灵敏度。

英文摘要:

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 $SNR=\sqrt{N_k}$ for a Gaussian random field where $N_k$ 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 $N_k$ is increased. The value of $[SNR]_l$ falls as reionization proceeds, dropping from $\sim 500$ at $\bar{x}_{HI} = 0.8-0.9$ to $\sim 10$ at $\bar{x}_{HI} = 0.15 $ for a $[150.08\, {\rm Mpc}]^3$ simulation. We show that it is possible to interpret $[SNR]_l$ in terms of the trispectrum, and we expect $[SNR]_l \propto \sqrt{V}$ if the volume is increased. For $SNR \ll [SNR]_l$ we find $SNR = \sqrt{N_k}/A $ with $A \sim 0.95 - 1.75$, 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.

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