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在一个不完整的天空利用代理探测CMB中的非Gaussianities指标

Probing non-Gaussianities in the CMB on an incomplete sky using surrogates
课程网址: http://videolectures.net/nipsworkshops2011_rossmanith_gaussianiti...  
主讲教师: Gregor Rossmanith
开课单位: 路德维希·马克西米利安斯大学
开课时间: 2012-01-23
课程语种: 英语
中文简介:
对于商业银行业务数据集的研究,傅立叶相位分析已被证明是一种有用的方法,因为所有潜在的高阶相关,直接指向非高斯,都包含在相位和它们之间的相关性。傅立叶相位随机替代映射方法是分析相位的一种方法。这种变换方法依赖于球面谐波的正交性,而球面谐波只适用于整个天空。然而,主要存在于星系平面的天体物理前景发射是宇宙微波背景辐射分析中的一个主要挑战。我们证明了用基于傅立叶的方法生成替代物的可行性,也证明了通过将球面谐波转换成一组新的基函数,这些基函数在切割天空中是正交的。结果表明,即使在完全的银河面被移除的情况下,仍能检测到宇宙微波背景中的非高斯和半球不对称。我们得出结论,星系平面不能成为这些异常的主要来源。
课程简介: For investigations of CMB data sets, the analysis of Fourier phases has proven to be a useful method, since all potential higher order correlations, which directly point to non-Gaussianities, are contained in the phases and the correlations among them. The method of surrogate maps with shuffled Fourier phases represents one way of analysing the phases. The shuffling approach relies on the orthogonality of the spherical harmonics, which only holds for the full sky. However, astrophysical foreground emission, mainly present in the Galactic plane, are a major challenge in CMB analyses. We demonstrate the feasibility to generate surrogates by Fourier-based methods also for an incomplete data set by transforming the spherical harmonics into a new set of basis functions that are orthonormal on the cut sky. The results show that non-Gaussianities and hemispherical asymmetries in the CMB as identified in several former investigations, can still be detected even when the complete Galactic plane is removed. We conclude that the Galactic plane cannot be the dominant source for these anomalies.
关 键 词: 傅里叶方法; 天体物理学; 球面谐波函数; 银河系平面
课程来源: 视频讲座网
最后编审: 2020-06-02:毛岱琦(课程编辑志愿者)
阅读次数: 62