通过维纳滤波的纯E和B偏振图
Pure E and B polarization maps via Wiener filtering
摘要：
为了从宇宙微波背景（CMB）偏振观测中得出科学结论，有必要分离数据中E和B分量的贡献。对于天空覆盖不完整的数据，存在模糊模式，可以由E或B信号提供。存在用于产生“纯”E和B映射的技术，其保证没有交叉污染，尽管涉及构造本征基的标准方法具有高计算成本。我们表明，这样的纯地图可以被认为是由于应用维纳滤波器的数据。这种观点导致产生纯地图的更有效的方法。此外，通过在维纳滤波的一般框架中表达纯化的思想（即，最大化后验概率），它导致纯E和B映射的概念的各种推广，例如，考虑到数据中的噪声或其它杂质以及与温度各向异性的相关性。
英文摘要：
In order to draw scientific conclusions from observations of cosmic microwave background (CMB) polarization, it is necessary to separate the contributions of the E and B components of the data. For data with incomplete sky coverage, there are ambiguous modes, which can be sourced by either E or B signals. Techniques exist for producing "pure" E and B maps, which are guaranteed to be free of cross-contamination, although the standard method, which involves constructing an eigenbasis, has a high computational cost. We show that such pure maps can be thought of as resulting from the application of a Wiener filter to the data. This perspective leads to far more efficient methods of producing pure maps. Moreover, by expressing the idea of purification in the general framework of Wiener filtering (i.e., maximization of a posterior probability), it leads to a variety of generalizations of the notion of pure E and B maps, e.g., accounting for noise or other contaminants in the data as well as correlations with temperature anisotropy.
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