论文标题
宇宙21 cm信号参数研究中的多频角功率谱
The multi-frequency angular power spectrum in parameter studies of the cosmic 21-cm signal
论文作者
论文摘要
轻曲效应破坏了沿宇宙发射/吸收线调查的视线方向的周期性和统计均匀性(Ergodicition)。从定义上讲,它在所有方向上都假定牙齿和周期性的球形平均功率谱(SAPS)只能量化3D光线信号中的一些二阶统计信息,因此给出了真实统计数据的有偏见的估计。通过从数据中提取更多信息,多频角功率谱(地图)不依赖这些假设。因此,它可以更好地与信号的特性对齐。我们已经比较了地图和SAPS指标的性能,以从消除时期对21 cm信号的模拟3D轻曲线观察进行参数估计。我们的研究基于简化的3参数21cmfast模型。我们发现地图产生的参数约束,比使用SAPS时更严格的$ \ sim 2 $。即使在128小时的SKA-LOW观察中预期有仪器噪声的情况下,该结果的重要性也不会发生太大变化。因此,我们的结果表明,基于地图度量标准的参数估计框架将使用SAPS度量产生优越的结果。
The light-cone effect breaks the periodicity and statistical homogeneity (ergodicity) along the line-of-sight direction of cosmological emission/absorption line surveys. The spherically averaged power spectrum (SAPS), which by definition assumes ergodicity and periodicity in all directions, can only quantify some of the second-order statistical information in the 3D light-cone signals and therefore gives a biased estimate of the true statistics. The multi-frequency angular power spectrum (MAPS), by extracting more information from the data, does not rely on these assumptions. It is therefore better aligned with the properties of the signal. We have compared the performance of the MAPS and SAPS metrics for parameter estimation for a mock 3D light-cone observation of the 21-cm signal from the Epoch of Reionization. Our investigation is based on a simplified 3-parameter 21cmFAST model. We find that the MAPS produces parameter constraints which are a factor of $\sim 2$ more stringent than when the SAPS is used. The significance of this result does not change much even in the presence of instrumental noise expected for 128 hours of SKA-Low observations. Our results therefore suggest that a parameter estimation framework based on the MAPS metric would yield superior results over one using the SAPS metric.