Spherical needlets for cosmic microwave background data analysis

被引:126
作者
Marinucci, D. [1 ]
Pietrobon, D. [2 ]
Balbi, A. [2 ,3 ]
Baldi, P. [1 ]
Cabella, P. [4 ]
Kerkyacharian, G. [5 ]
Natoli, P. [2 ,3 ]
Picard, D. [6 ]
Vittorio, N. [2 ,3 ]
机构
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy
[3] Ist Nazl Fis Nucl, Sez Roma Tor Vergata, I-00133 Rome, Italy
[4] Univ Oxford, Oxford OX1 3RH, England
[5] Univ Paris 10, F-92001 Nanterre, France
[6] Univ Paris 07, F-75221 Paris 05, France
关键词
methods : data analysis; cosmic microwave background; cosmology : observations;
D O I
10.1111/j.1365-2966.2007.12550.x
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We discuss spherical needlets and their properties. Needlets are a form of spherical wavelets which do not rely on any kind of tangent plane approximation and enjoy good localization properties in both pixel and harmonic space; moreover needlet coefficients are asymptotically uncorrelated at any fixed angular distance, which makes their use in statistical procedures very promising. In view of these properties, we believe needlets may turn out to be especially useful in the analysis of cosmic microwave background (CMB) data on the incomplete sky, as well as of other cosmological observations. As a final advantage, we stress that the implementation of needlets is computationally very convenient and may rely completely on standard data analysis packages such as HEALPiX.
引用
收藏
页码:539 / 545
页数:7
相关论文
共 23 条
[1]  
Antoine JP, 1999, APPL COMPUT HARMON A, V7, P262, DOI 10.1006/acha.1998.0272
[2]  
BALDI P, 2006, UNPUB ANN STAT
[3]  
BALDI P, 2007, ARXIV07064169
[4]   Search for non-Gaussianity in pixel, harmonic, and wavelet space: Compared and combined [J].
Cabella, P ;
Hansen, F ;
Marinucci, D ;
Pagano, D ;
Vittorio, N .
PHYSICAL REVIEW D, 2004, 69 (06) :11
[5]  
CABELLA P, 2007, ARXIV07050810
[6]   HEALPix:: A framework for high-resolution discretization and fast analysis of data distributed on the sphere [J].
Górski, KM ;
Hivon, E ;
Banday, AJ ;
Wandelt, BD ;
Hansen, FK ;
Reinecke, M ;
Bartelmann, M .
ASTROPHYSICAL JOURNAL, 2005, 622 (02) :759-771
[7]  
GUILLOUX F, 2007, ARXIV07062598
[8]   Foreground subtraction of cosmic microwave background maps using WI-FIT (wavelet-based high-resolution fitting of internal templates) [J].
Hansen, F. K. ;
Banday, A. J. ;
Eriksen, H. K. ;
Gorski, K. M. ;
Lilje, P. B. .
ASTROPHYSICAL JOURNAL, 2006, 648 (02) :784-796
[9]  
Hernandez E., 1996, 1 COURSE WAVELETS, P489
[10]   Master of the cosmic microwave background anisotropy power spectrum:: A fast method for statistical analysis of large and complex cosmic microwave background data sets [J].
Hivon, E ;
Górski, KM ;
Netterfield, CB ;
Crill, BP ;
Prunet, S ;
Hansen, F .
ASTROPHYSICAL JOURNAL, 2002, 567 (01) :2-17