INTRODUCING MEXICAN NEEDLETS FOR CMB ANALYSIS: ISSUES FOR PRACTICAL APPLICATIONS AND COMPARISON WITH STANDARD NEEDLETS
INTRODUCING MEXICAN NEEDLETS FOR CMB ANALYSIS: ISSUES FOR PRACTICAL APPLICATIONS AND COMPARISON WITH STANDARD NEEDLETS
复制标题
引入墨西哥针进行 CMB 分析：实际应用问题以及与标准针的比较
DOI：
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
A. Mayeli
中科院分区：
文献类型：
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作者：
S. Scodeller;Ø. Rudjord;F. Hansen;D. Marinucci;D. Geller;A. Mayeli
在过去的几年中，针已经成为分析宇宙微波背景（CMB）数据的有用工具。我们本文的目的首先是在 CMB 文献中引入一种不同形式的针，称为墨西哥针，它首先由 Geller 和 Mayeli 在数学文献中讨论。然后，我们对标准针和墨西哥针的特性进行了广泛的研究；这些属性取决于一些参数，可以调整这些参数以优化给定应用程序的性能。本文的第二个目标是就如何调整 WMAP 和普朗克数据的这些参数提供实用建议，以便为 CMB 数据分析中的给定问题实现最佳属性。特别是，我们研究了实空间和谐波空间中的定位特性，并提出了一种量化银河和点源掩模对针状系数影响的方法。我们还表明，对于某些参数值，墨西哥针提供了与球形墨西哥帽小波（因此得名）的近似值，在其数值实现和统计特性的推导方面具有一些优势。
Over the last few years, needlets have emerged as a useful tool for the analysis of cosmic microwave background (CMB) data. Our aim in this paper is first to introduce into the CMB literature a different form of needlets, known as Mexican needlets, first discussed in the mathematical literature by Geller & Mayeli. We then proceed with an extensive study of the properties of both standard and Mexican needlets; these properties depend on some parameters which can be tuned in order to optimize the performance for a given application. Our second aim in this paper is then to give practical advice on how to adjust these parameters for WMAP and Planck data in order to achieve the best properties for a given problem in CMB data analysis. In particular, we investigate localization properties in real and harmonic space and propose a recipe for quantifying the influence of galactic and point-source masks on the needlet coefficients. We also show that for certain parameter values, the Mexican needlets provide a close approximation to the Spherical Mexican Hat Wavelets (whence their name), with some advantages concerning their numerical implementation and derivation of their statistical properties.
前景对原始非高斯估计的影响：WMAP 5 年数据的针刺分析
DOI：
10.1111/j.1365-2966.2010.16542.x
发表时间：
2010
影响因子：
4.8
作者：
Cabella P
通讯作者：
Cabella P