BAYESIAN INFERENCE OF POLARIZED COSMIC MICROWAVE BACKGROUND POWER SPECTRA FROM INTERFEROMETRIC DATA

被引:6
作者
Karakci, Ata [1 ]
Sutter, P. M. [2 ,3 ,4 ,5 ,6 ]
Zhang, Le
Bunn, Emory F. [7 ]
Korotkov, Andrei [1 ]
Timbie, Peter [6 ]
Tucker, Gregory S. [1 ]
Wandelt, Benjamin D. [2 ,3 ,4 ,8 ]
机构
[1] Brown Univ, Dept Phys, Providence, RI 02912 USA
[2] Univ Illinois, Dept Phys, Urbana, IL 61801 USA
[3] UPMC Univ Paris 06, Inst Astrophys Paris, UMR 7095, F-75014 Paris, France
[4] Inst Astrophys, CNRS, UMR 7095, F-75014 Paris, France
[5] Ohio State Univ, Ctr Cosmol & Astro Particle Phys, Columbus, OH 43210 USA
[6] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA
[7] Univ Richmond, Dept Phys, Richmond, VA 23173 USA
[8] Univ Illinois, Dept Astron, Urbana, IL 61801 USA
基金
美国国家科学基金会;
关键词
cosmic background radiation; cosmology: observations; instrumentation: interferometers; methods: data analysis; methods: statistical; techniques: polarimetric; CMB POLARIZATION; ANISOTROPY; TEMPERATURE; SEPARATION; SKY;
D O I
10.1088/0067-0049/204/1/10
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Detection of B-mode polarization of the cosmic microwave background (CMB) radiation is one of the frontiers of observational cosmology. Because they are an order of magnitude fainter than E-modes, it is quite a challenge to detect B-modes. Having more manageable systematics, interferometers prove to have a substantial advantage over imagers in detecting such faint signals. Here, we present a method for Bayesian inference of power spectra and signal reconstruction from interferometric data of the CMB polarization signal by using the technique of Gibbs sampling. We demonstrate the validity of the method in the flat-sky approximation for a simulation of an interferometric observation on a finite patch with incomplete uv-plane coverage, a finite beam size, and a realistic noise model. With a computational complexity of O(n(3/2)), n being the data size, Gibbs sampling provides an efficient method for analyzing upcoming cosmology observations.
引用
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页数:7
相关论文
共 37 条
[1]  
[Anonymous], APJ
[2]  
[Anonymous], 2012, ARXIV12110585
[3]  
Balay S, 1997, MODERN SOFTWARE TOOLS FOR SCIENTIFIC COMPUTING, P163
[4]  
Balay S., 2010, PETSc Users Manual: Revision 3.1
[5]  
Banday A. J., 2007, ASTROPHYS J LETT, V665, P1
[6]  
Bau A., 2010, APH, V34, P705
[7]  
Bunn E. F., 1994, ASTROPHYS J LETT, V432, P75
[8]   Separating E from B [J].
Bunn, EF .
NEW ASTRONOMY REVIEWS, 2003, 47 (11-12) :987-994
[9]   Detectability of microwave background polarization [J].
Bunn, EF .
PHYSICAL REVIEW D, 2002, 65 (04)
[10]   Systematic errors in cosmic microwave background interferometry [J].
Bunn, Emory F. .
PHYSICAL REVIEW D, 2007, 75 (08)