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arXiv 1004.5576astro-ph.CO
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介绍用于CMB分析的墨西哥针头:实际应用问题和与标准针头的比较

Introducing Mexican needlets for CMB analysis: Issues for practical applications and comparison with standard needlets

S. Scodeller, O. Rudjord, F. K. Hansen, D. Marinucci, D. Geller, A. Mayeli

摘要:

在过去的几年里,针状体已经成为分析宇宙微波背景(CMB)数据的有用工具。我们在本文中的目的是首先在CMB文献中介绍一种不同形式的针状物,称为墨西哥针状物,Geller和Mayeli(2009 a,b)首先在数学文献中讨论。然后,我们进行了广泛的研究标准和墨西哥针头的性能,这些属性取决于一些参数,可以调整,以优化性能,为一个给定的应用程序。本文的第二个目的是给出如何调整这些参数,以实现最佳性能的CMB数据分析中的给定问题的实用建议。特别是,我们调查本地化的真实和谐波空间的属性,并提出了一个食谱上如何量化的影响银河和点源掩模的针状系数。我们还表明,对于某些参数值,墨西哥针提供了一个密切的近似球形墨西哥帽波(从那里他们的名字),与一些优势,关于他们的数值实现和推导他们的统计性质。

英文摘要:

Over the last few years, needlets have a emerged as a useful tool for the analysis of Cosmic Microwave Background (CMB) data. Our aim in this paper is first to introduce in the CMB literature a different form of needlets, known as Mexican needlets, first discussed in the mathematical literature by Geller and Mayeli (2009a,b). 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 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 spaces and propose a recipe on how to quantify 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 the derivation of their statistical properties.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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