1. Partial CMB maps: bias removal and optimal binning of the angular power spectrum.
- Author
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Ansari, R. and Magneville, C.
- Subjects
- *
POWER spectra , *ALGORITHMS , *SPECTRUM analysis , *ANGULAR correlations (Nuclear physics) , *MAPS - Abstract
We present a semi-analytical method to investigate the systematic effects and statistical uncertainties of the calculated angular power spectrum when incomplete spherical maps are used. The computed power spectrum suffers in particular a loss of angular frequency resolution, which can be written as , where is the effective maximum extent of the partial spherical maps. We propose a correction algorithm to reduce systematic effects on the estimated , as obtained from the partial map projection on the spherical harmonic basis. We have derived near-optimal bands and weighting functions in -space for the power spectrum calculation using small maps, and a correction algorithm for partially masked spherical maps that contain information on the angular correlations on all scales. [ABSTRACT FROM AUTHOR]
- Published
- 2010
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