On spin scale-discretised wavelets on the sphere for the analysis of CMB polarisation
Instrumentation and Methods for Astrophysics
2014-12-04 v1 Cosmology and Nongalactic Astrophysics
Information Theory
math.IT
Abstract
A new spin wavelet transform on the sphere is proposed to analyse the polarisation of the cosmic microwave background (CMB), a spin signal observed on the celestial sphere. The scalar directional scale-discretised wavelet transform on the sphere is extended to analyse signals of arbitrary spin. The resulting spin scale-discretised wavelet transform probes the directional intensity of spin signals. A procedure is presented using this new spin wavelet transform to recover E- and B-mode signals from partial-sky observations of CMB polarisation.
Keywords
Cite
@article{arxiv.1412.1340,
title = {On spin scale-discretised wavelets on the sphere for the analysis of CMB polarisation},
author = {Jason D. McEwen and Martin Büttner and Boris Leistedt and Hiranya V. Peiris and Pierre Vandergheynst and Yves Wiaux},
journal= {arXiv preprint arXiv:1412.1340},
year = {2014}
}
Comments
4 pages, Proceedings IAU Symposium No. 306, 2014 (A. F. Heavens, J.-L. Starck, A. Krone-Martins eds.)