2006/08/31 by D. L. Larson, D. Larson, H. K. Eriksen +8 · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Algorithm #Bayesian probability #Chemistry #Computational physics #Computer science #Cosmic microwave background #Cosmology and Gravitation Theories #Detector #Gibbs free energy #Gibbs sampling #Mathematics #Mode (computer interface) #Optics #Physics #Planck #Polarization (electrochemistry) #Quantum mechanics #Radio Astronomy Observations and Technology #Sampling (signal processing) #Spectral density #Spectral line #Statistical physics #Statistics #Superconducting and THz Device Technology #astro-ph
paper · pdf · doi:10.1086/509802
published as Astrophys.J.656:653-660,2007 · 8 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
arxiv created 2006/10/02 · openalex publication_date 2007/02/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Earlier papers introduced a method of accurately estimating the angular cosmic microwave background 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 megapixel 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.