2002/07/24 by Frode K. Hansen, K. M. Górski, Krzysztof M. Gorski · 2 citations
Physics and Astronomy · #Radio Astronomy Observations and Technology #Scientific Research and Discoveries #Superconducting and THz Device Technology #astro-ph
paper · pdf · doi:10.1046/j.1365-8711.2003.06695.x
published as Mon.Not.Roy.Astron.Soc.343:559,2003 · 32 pages, 25 figures, submitted to MNRAS
arxiv created 2002/07/24 · openalex publication_date 2003/07/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We extend the analysis of Gabor transforms on a cosmic microwave background temperature map to polarization. We study the temperature and polarization power spectra on the cut sky, the so-called pseudo-power spectra. The transformation kernels relating the full-sky polarization power spectra and the polarization pseudo-power spectra are found to be similar to the kernel for the temperature power spectrum. This fact is used to construct a fast power spectrum estimation algorithm using the pseudo-power spectrum of temperature and polarization as data vectors in a maximum-likelihood approach. Using the pseudo-power spectra as input to the likelihood analysis solves the problem of having to invert huge matrices, which makes the standard likelihood approach infeasible.