Fast quadratic power spectrum estimators and the E-B decomposition

Details Fast quadratic power spectrum estimators and the E-B decomposition Fast quadratic power spectrum estimators and the E-B decomposition

Dec 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003newar..47..995c&link_type=abstract

New Astronomy Reviews, Volume 47, Issue 11-12, p. 995-1000.

Astronomy and Astrophysics

Astronomy

3

Scientific paper

We describe a fast, quadratic power spectrum estimator for cosmic microwave background polarization fields, based on heuristically-weighted correlation functions. The method can handle real-world effects such as inhomogeneous or correlated noise, and arbitrary sky cuts. A significant feature is that the electric and magnetic polarization powers are separated exactly in the mean, even for observations covering only a small region of the sky, and with a negligible increase in computational cost. The method is illustrated with simulations for a large-area survey, and a future, deep magnetic-polarization survey.

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