Fast Analysis of Inhomogenous Megapixel Cosmic Microwave Background Maps

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmology: Cosmic Microwave Background, Cosmology: Theory, Methods: Statistical

Scientific paper

We present a new method to calculate pixel space correlation functions via fast spherical harmonics transforms. Our present implementation of the algorithm extracts correlations from a Microwave Anisotropy Probe (MAP)-like cosmic microwave background map (~=3×106 pixels) in about 5 minutes on a 500 MHz computer, including Cl inversion; the analysis of one Planck-like map takes less than 1 hr. We use heuristic window and noise weighting in pixel space and include the possibility of additional signal weighting as well, either in l-space or pixel space. We apply the new code to an ensemble of MAP simulations to test the response of our method to the inhomogenous sky coverage/noise of MAP. We show that the resulting Cl and the corresponding variance are nearly optimal. The HEALPIX-based implementation of the method, SpICE (Spatially Inhomogenous Correlation Estimator), will be available to the public from the authors.

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