On spin scale-discretised wavelets on the sphere for the analysis of CMB polarisation

McEwen, Jason D. ; Büttner, Martin ; Leistedt, Boris ; Peiris, Hiranya V. ; Vandergheynst, Pierre ; Wiaux, Yves

In: Proceedings of the International Astronomical Union, 2014, vol. 10, no. S306, p. 64-67

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    A new spin wavelet transform on the sphere is proposed to analyse the polarisation of the cosmic microwave background (CMB), a spin ± 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