Partial CMB maps: bias removal and optimal binning of the angular power spectrum

作者：Ansari R^*; Magneville C

来源：Monthly Notices of the Royal Astronomical Society, 2010, 405(3): 1421-1430.

DOI：10.1111/j.1365-2966.2010.16561.x

• methods: data analysis
• methods: statistical
• techniques: image processing
• cosmic microwave background

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 delta l similar to pi/gamma(max), where gamma(max) is the effective maximum extent of the partial spherical maps. We propose a correction algorithm to reduce systematic effects on the estimated C(l), as obtained from the partial map projection on the spherical harmonic Y(l)(m) basis. We have derived near-optimal bands and weighting functions in l-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.

• 出版日期2010-7-1
• 单位中国地震局