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

Titel: Application of beam deconvolution technique to power spectrum estimation for CMB measurements
Författare: Keihänen, E.; Kiiveri, K.; Kurki-Suonio, H.; Reinecke, M.
Upphovmannens organisation: Department of Physics
Helsinki Institute of Physics
Datum: 2017-04
Språk: eng
Sidantal: 15
Tillhör serie: Monthly Notices of the Royal Astronomical Society
ISSN: 0035-8711
DOI: https://doi.org/10.1093/mnras/stw3122
Permanenta länken (URI): http://hdl.handle.net/10138/180937
Abstrakt: 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
Referentgranskad: Ja
Licens: unspecified
Användningsbegränsning: openAccess
Parallelpublicerad version: publishedVersion


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