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19 April 2024 |
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Power spectrum estimation from high-resolution maps by Gibbs sampling | | H. K. Eriksen
; I. J. O’Dwyer
; J. B. Jewell
; B. D. Wandelt
; D. L. Larson
; K. M. Gorski
; S. Levin
; A. J. Banday
; P. B. Lilje
; | | Date: |
1 Jul 2004 | | Journal: | Astrophys.J.Suppl. 155 (2004) 227-241 | | Subject: | astro-ph | | Abstract: | We revisit a recently introduced power spectrum estimation technique based on Gibbs sampling, with the goal of applying it to the high-resolution WMAP data. In order to facilitate this analysis, a number of sophistications have to be introduced, each of which is discussed in detail. We have implemented two independent versions of the algorithm to cross-check the computer codes, and to verify that a particular solution to any given problem does not affect the scientific results. We then apply these programs to simulated data with known properties at intermediate (N_side = 128) and high (N_side = 512) resolutions, to study effects such as incomplete sky coverage and white vs. correlated noise. From these simulations we also establish the Markov chain correlation length as a function of signal-to-noise ratio, and give a few comments on the properties of the correlation matrices involved. Parallelization issues are also discussed, with emphasis on real-world limitations imposed by current super-computer facilities. The scientific results from the analysis of the first-year WMAP data are presented in a companion letter. | | Source: | arXiv, astro-ph/0407028 | | Services: | Forum | Review | PDF | Favorites | |
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