Estimation of Polarized Power Spectra by Gibbs sampling

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dc.creatorLarson, D. L.
dc.creatorEriksen, H. K.
dc.creatorWandelt, B. D.
dc.creatorGorski, K. M.
dc.creatorHuey, Greg
dc.creatorJewell, J. B.
dc.creatorO'Dwyer, I. J.
dc.date2006-08-01
dc.date2006-10-02
dc.date.accessioned2026-07-07T10:39:41Z
dc.date.available2026-07-07T10:39:41Z
dc.descriptionEarlier papers introduced a method of accurately estimating the angular cosmic microwave background (CMB) temperature power spectrum based on Gibbs sampling. Here we extend this framework to polarized data. All advantages of the Gibbs sampler still apply, and exact analysis of mega-pixel polarized data sets is thus feasible. These advantages may be even more important for polarization measurements than for temperature measurements. While approximate methods can alias power from the larger E-mode spectrum into the weaker B-mode spectrum, the Gibbs sampler (or equivalently, exact likelihood evaluations) allows for a statistically optimal separation of these modes in terms of power spectra. To demonstrate the method, we analyze two simulated data sets: 1) a hypothetical future CMBPol mission, with the focus on B-mode estimation; and 2) a Planck-like mission, to highlight the computational feasibility of the method.
dc.description8 pages, 5 figures. High-resolution version available from http://www.astro.uio.no/~hke/docs/larson_et_al_2006.ps.gz; accepted for publication in ApJ
dc.identifierhttps://arxiv.org/abs/astro-ph/0608007
dc.identifierhttp://arxiv.org/abs/astro-ph/0608007
dc.identifierAstrophys.J.656:653-660,2007
dc.identifierdoi:10.1086/509802
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181115
dc.subjectAstrophysics
dc.titleEstimation of Polarized Power Spectra by Gibbs sampling
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