Power filtration of CMB observational data

Details Power filtration of CMB observational data Power filtration of CMB observational data

2000-01-25

arxiv.org/abs/astro-ph/0001432v2

Astronomy and Astrophysics

Astrophysics

17 pages; 4 figures; submitted to International Journal of Modern Physics

Scientific paper

10.1142/S0218271801000950

We propose a power filter Gp for linear reconstruction of the CMB signal from observational maps. This Gp filter preserves the power spectrum of the CMB signal in contrast to the Wiener filter which diminishes the power spectrum of the reconstructed CMB signal. We demonstrate how peak statistics and a cluster analysis can be used to estimate the probability of the presence of a CMB signal in observational records. The efficiency of the Gp filter is demonstrated on a toy model of an observational record consisting of a CMB signal and noise in the form of foreground point sources.

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