论文标题

全球21cm实验的前景建模和色度校正的一般贝叶斯框架

A General Bayesian Framework for Foreground Modelling and Chromaticity Correction for Global 21cm Experiments

论文作者

Anstey, Dominic, Acedo, Eloy de Lera, Handley, Will

论文摘要

HI 21厘米吸收线被明亮的前景和系统的扭曲掩盖,这些畸变是由于天线的色度而导致的,这些天线用于使观察偶联到这些前景的光谱不均匀性。我们证明,当天线不是完全可观的时,这些扭曲足以掩盖21cm信号,并且假设前景功率恒定的空间分布不足以克服它们,那么简单的校正就可以掩盖21cm信号。然后,我们提出了一种对21厘米实验的前景进行建模的新物理动机方法,以便将色差作为前景的一部分拟合。这是通过通过将天空分为$ n $区域的观测带来生成模拟的天空模型并假设每个区域中有独特的均匀光谱指数来实现的。然后,可以使用天线梁的模型将所得的天空图卷积,从而通过$ n $区域的光谱指数来提供前景和色度参数的模型。我们证明,使用贝叶斯嵌套采样算法将该模型拟合以改变$ n $,并使用证据比较结果,可以在相对光滑的锥形螺旋天线的数据中可靠地检测到21cm信号。我们还测试了更色彩的圆锥形敏感天线,发现该模型不会产生可靠的信号检测,而是以一种易于区分的方式与真实检测的方式进行了可靠。

The HI 21cm absorption line is masked by bright foregrounds and systematic distortions that arise due to the chromaticity of the antenna used to make the observation coupling to the spectral inhomogeneity of these foregrounds. We demonstrate that these distortions are sufficient to conceal the 21cm signal when the antenna is not perfectly achromatic and that simple corrections assuming a constant spatial distribution of foreground power are insufficient to overcome them. We then propose a new physics-motivated method of modelling the foregrounds of 21cm experiments in order to fit the chromatic distortions as part of the foregrounds. This is done by generating a simulated sky model across the observing band by dividing the sky into $N$ regions and scaling a base map assuming a distinct uniform spectral index in each region. The resulting sky map can then be convolved with a model of the antenna beam to give a model of foregrounds and chromaticity parameterised by the spectral indices of the $N$ regions. We demonstrate that fitting this model for varying $N$ using a Bayesian nested sampling algorithm and comparing the results using the evidence allows the 21cm signal to be reliably detected in data of a relatively smooth conical log spiral antenna. We also test a much more chromatic conical sinuous antenna and find this model will not produce a reliable signal detection, but in a manner that is easily distinguishable from a true detection.

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