Application of beam deconvolution technique to power spectrum estimation for CMB measurements

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http://hdl.handle.net/10138/180937

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Keihänen , E , Kiiveri , K , Kurki-Suonio , H & Reinecke , M 2017 , ' Application of beam deconvolution technique to power spectrum estimation for CMB measurements ' , Monthly Notices of the Royal Astronomical Society , vol. 466 , no. 2 , pp. 1348-1362 . https://doi.org/10.1093/mnras/stw3122

Title: Application of beam deconvolution technique to power spectrum estimation for CMB measurements
Author: Keihänen, E.; Kiiveri, K.; Kurki-Suonio, H.; Reinecke, M.
Contributor: University of Helsinki, Department of Physics
University of Helsinki, Helsinki Institute of Physics
University of Helsinki, Department of Physics
Date: 2017-04
Language: eng
Number of pages: 15
Belongs to series: Monthly Notices of the Royal Astronomical Society
ISSN: 0035-8711
URI: http://hdl.handle.net/10138/180937
Abstract: We present two novel methods for the estimation of the angular power spectrum of cosmic microwave background (CMB) anisotropies. We assume an absolute CMB experiment with arbitrary asymmetric beams and arbitrary sky coverage. The methods differ from the earlier ones in that the power spectrum is estimated directly from the time-ordered data, without first compressing the data into a sky map, and they take into account the effect of asymmetric beams. In particular, they correct the beam-induced leakage from temperature to polarization. The methods are applicable to a case where part of the sky has been masked out to remove foreground contamination, leaving a pure CMB signal, but incomplete sky coverage. The first method (deconvolution quadratic maximum likelihood) is derived as the optimal quadratic estimator, which simultaneously yields an unbiased spectrum estimate and minimizes its variance. We successfully apply it to multipoles up to l = 200. The second method is derived as a weak-signal approximation from the first one. It yields an unbiased estimate for the full multipole range, but relaxes the requirement of minimal variance. We validate the methods with simulations for the 70 GHz channel of Planck surveyor, and demonstrate that we are able to correct the beam effects in the TT, EE, BB and TE spectra up to multipole l = 1500. Together, the two methods cover the complete multipole range with no gap in between.
Subject: methods: data analysis
methods: numerical
cosmic background radiation
MAP-MAKING METHOD
PLANCK
STRATEGIES
115 Astronomy, Space science
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