Astronomy and Astrophysics – Astrophysics
Scientific paper
2002-07-22
Mon.Not.Roy.Astron.Soc. 336 (2002) 1304
Astronomy and Astrophysics
Astrophysics
37 pages, 31 figures, accepted for publication in MNRAS
Scientific paper
10.1046/j.1365-8711.2002.05878.x
The Fourier transform of a dataset apodised with a window function is known as the Gabor transform. In this paper we extend the Gabor transform formalism to the sphere with the intention of applying it to CMB data analysis. The Gabor coefficients on the sphere known as the pseudo power spectrum is studied for windows of different size. By assuming that the pseudo power spectrum coefficients are Gaussian distributed, we formulate a likelihood ansatz using these as input parameters to estimate the full sky power spectrum from a patch on the sky. Since this likelihood can be calculated quickly without having to invert huge matrices, this allows for fast power spectrum estimation. By using the pseudo power spectrum from several patches on the sky together, the full sky power spectrum can be estimated from full-sky or nearly full-sky observations.
Górski Krzysztof M.
Hansen Frode K.
Hivon Eric
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