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          Institute: MPI für Astrophysik     Collection: Cosmology     Display Documents

ID: 13479.0, MPI für Astrophysik / Cosmology
Fast, exact CMB power spectrum estimation for a certain class of observational strategies
Authors:Wandelt, B. D.; Hansen, F. K.
Date of Publication (YYYY-MM-DD):2003
Title of Journal:Physical Review D
Journal Abbrev.:Phys. Rev. D
Issue / Number:2
Start Page:023001-1
End Page:023001-9
Sequence Number of Article:023001
Review Status:Peer-review
Audience:Experts Only
Abstract / Description:We describe a class of observational strategies for probing the anisotropies in the cosmic microwave background (CMB) where the instrument scans on rings which can be combined into an n- torus, the ring torus. This class has the remarkable property that it allows an exact maximum likelihood power spectrum estimation in operations of order N-2 (if the size of the data set is N) under circumstances which would previously have made this analysis intractable: correlated receiver noise, arbitrary asymmetric beam shapes and far side lobes, nonuniform distribution of integration time on the sky, and partial sky coverage. This ease of computation gives us an important theoretical tool for understanding the impact of instrumental effects on CMB observables and hence for the design and analysis of CMB observations in the future. There are members of this class which closely approximate the MAP and Planck satellite missions. We present a numerical example where we apply our ring torus methods to a simulated data set from a CMB mission covering a 20degrees patch on the sky to compute the maximum likelihood estimate of the power spectrum C-l with unprecedented efficiency.
External Publication Status:published
Document Type:Article
Communicated by:N. N.
Affiliations:MPI für Astrophysik
External Affiliations:Princeton Univ, Dept Phys, Princeton, NJ 08544 USA; Princeton Univ, Dept Phys, Princeton, NJ 08544 USA; Max Planck Inst Astrophys, D-8046 Garching, Germany
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