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Fast CMB Power Spectrum Estimation of Temperature and Polarisation with Gabor Transforms | | Frode K. Hansen
; Krzysztof M. Gorski
; | | Date: |
24 Jul 2002 | | Journal: | Mon.Not.Roy.Astron.Soc. 343 (2003) 559 | | Subject: | astro-ph | | Abstract: | We extend the analysis of Gabor transforms on a Cosmic Microwave Background (CMB) temperature map (Hansen, Gorski and Hivon 2002) to polarisation. We study the temperature and polarisation power spectra on the cut sky, the so-called pseudo power spectra. The transformation kernels relating the full-sky polarisation power spectra and the polarisation 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 polarisation 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. | | Source: | arXiv, astro-ph/0207526 | | Services: | Forum | Review | PDF | Favorites | |
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