Leistedt, B;
McEwen, JD;
Buttner, M;
Peiris, HV;
(2017)
Wavelet reconstruction of E and B modes for CMB polarisation and cosmic shear analyses.
Monthly Notices of the Royal Astronomical Society
, 466
(3)
pp. 3728-3740.
10.1093/mnras/stw3176.
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Abstract
We present new methods for mapping the curl-free (E-mode) and divergence-free (B-mode) components of spin 2 signals using spin directional wavelets. Our methods are equally applicable to measurements of the polarisation of the cosmic microwave background (CMB) and the shear of galaxy shapes due to weak gravitational lensing. We derive pseudo and pure wavelet estimators, where E-B mixing arising due to incomplete sky coverage is suppressed in wavelet space using scale- and orientation-dependent masking and weighting schemes. In the case of the pure estimator, ambiguous modes (which have vanishing curl and divergence simultaneously on the incomplete sky) are also cancelled. On simulations, we demonstrate the improvement (i.e., reduction in leakage) provided by our wavelet space estimators over standard harmonic space approaches. Our new methods can be directly interfaced in a coherent and computationally-efficient manner with component separation or feature extraction techniques that also exploit wavelets.
Type: | Article |
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Title: | Wavelet reconstruction of E and B modes for CMB polarisation and cosmic shear analyses |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1093/mnras/stw3176 |
Publisher version: | http://dx.doi.org/10.1093/mnras/stw3176 |
Language: | English |
Additional information: | This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society © 2016 RAS. Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved. |
Keywords: | Wavelets, cosmic microwave background polarisation, cosmic shear, observational cosmology |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Space and Climate Physics |
URI: | https://discovery.ucl.ac.uk/id/eprint/1503946 |
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