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On spin scale-discretised wavelets on the sphere for the analysis of CMB polarisation (1412.1340v1)
Published 3 Dec 2014 in astro-ph.IM, astro-ph.CO, cs.IT, and 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 $\pm 2$ 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.