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CMB map-making and power spectrum estimation
Hamilton J.-C.
Comptes Rendus Physique (2003) 10787 - http://hal.in2p3.fr/in2p3-00706938
Planète et Univers/Astrophysique/Cosmologie et astrophysique extra-galactique
Physique/Astrophysique/Cosmologie et astrophysique extra-galactique
CMB map-making and power spectrum estimation
J.-C. Hamilton1
1 :  LPNHE - Laboratoire de Physique Nucléaire et de Hautes Énergies
http://www-lpnhep.in2p3.fr
CNRS : UMR7585 – IN2P3 – Université Pierre et Marie Curie (UPMC) - Paris VI – Université Paris VII - Paris Diderot
Barre 12-22, 1er étage 4 Place Jussieu 75252 Paris Cedex 05
France
CMB data analysis is in general done through two main steps : map-making of the time data streams and power spectrum extraction from the maps. The latter basically consists in the separation between the variance of the CMB and that of the noise in the map. Noise must therefore be deeply understood so that the estimation of CMB variance (the power spectrum) is unbiased. I present in this article general techniques to make maps from time streams and to extract the power spectrum from them. We will see that exact, maximum likelihood solutions are in general too slow and hard to deal with to be used in modern experiments such as Archeops and should be replaced by approximate, iterative or Monte-Carlo approaches that lead to similar precision.

Articles dans des revues avec comité de lecture
10/2003
Comptes Rendus Physique
Publisher Elsevier
ISSN 1631-0705 
10787

10 pages, 2 figures, to appear in C.R. Physique