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arXiv 1404.4372astro-ph.COastro-ph.IM
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再电离时间窗:II。前景楔形缩减的统计方法

The Epoch of Reionization Window: II. Statistical Methods for Foreground Wedge Reduction

Adrian Liu, Aaron R. Parsons, Cathryn M. Trott

摘要:

为了成功测量21 cm再电离时期(EoR)功率谱,必须稳健地抑制强前景污染物。这些前景来自不同的来源(如银河系同步辐射和河外点源),但几乎所有的共享的属性是光谱平滑,当通过干涉仪的色度响应,占据了一个签名“楔形”在圆柱形$k_\perp k_\parallel$傅立叶空间的区域。前景楔形的补充被称为“EoR窗口”,并且预计大部分是无前景的,允许功率谱的干净测量。本文是前一篇论文的续篇,该论文建立了一个严格的数学框架来描述前景楔形和EoR窗口。在这里,我们使用我们的框架来探索统计方法,通过该方法可以扩大EoR窗口,从而增加功率谱测量的灵敏度。我们适应FKP近似(常用于星系调查)21厘米宇宙学,也比较最佳的二次估计简单的估计,忽略不同傅立叶模式之间的协方差。发现最佳二次估计量可以通过EoR窗口外围功率的额外因子$\sim 10^5$来抑制前景,从而增强对从$12σ$到$50σ$的宇宙学信号的检测在我们的基准模型中再电离的中点。如果数值问题可以处理,去相关技术允许EoR窗口进一步扩大,使测量能够深入前景楔形。这些技术不假设前景是高斯分布的,我们还证明了最后一轮的前景减法可以在去相关后以保证没有宇宙学信号损失的方式进行。

英文摘要:

For there to be a successful measurement of the 21 cm Epoch of Reionization (EoR) power spectrum, it is crucial that strong foreground contaminants be robustly suppressed. These foregrounds come from a variety of sources (such as Galactic synchrotron emission and extragalactic point sources), but almost all share the property of being spectrally smooth, and when viewed through the chromatic response of an interferometer, occupy a signature "wedge" region in cylindrical $k_\perp k_\parallel$ Fourier space. The complement of the foreground wedge is termed the "EoR window", and is expected to be mostly foreground-free, allowing clean measurements of the power spectrum. This paper is a sequel to a previous paper that established a rigorous mathematical framework for describing the foreground wedge and the EoR window. Here, we use our framework to explore statistical methods by which the EoR window can be enlarged, thereby increasing the sensitivity of a power spectrum measurement. We adapt the FKP approximation (commonly used in galaxy surveys) for 21 cm cosmology, and also compare the optimal quadratic estimator to simpler estimators that ignore covariances between different Fourier modes. The optimal quadratic estimator is found to suppress foregrounds by an extra factor of $\sim 10^5$ in power at the peripheries of the EoR window, boosting the detection of the cosmological signal from $12σ$ to $50σ$ at the midpoint of reionization in our fiducial models. If numerical issues can be finessed, decorrelation techniques allow the EoR window to be further enlarged, enabling measurements to be made deep within the foreground wedge. These techniques do not assume that foreground are Gaussian-distributed, and we additionally prove that a final round of foreground subtraction can be performed after decorrelation in a way that is guaranteed to have no cosmological signal loss.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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