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

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

doi:10.1017/S1743921314011107

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

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

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	64-67
Number of pages	4
Journal	Proceedings of the International Astronomical Union
Volume	10
Issue number	S306
DOIs	https://doi.org/10.1017/S1743921314011107
Publication status	Published - Jul 2015
Event	IAU Symposium 306: Statistical Challenges in 21st Century Cosmology - Pavilhão do Conhecimento, Lisbon, Portugal Duration: 25 May 2014 → 29 May 2014

Keywords

cosmology: cosmic microwave background
cosmology: early universe
cosmology: observations
methods: data analysis
techniques: image processing

ASJC Scopus subject areas

Astronomy and Astrophysics

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10.1017/S1743921314011107

Cite this

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title = "On spin scale-discretised wavelets on the sphere for the analysis of CMB polarisation",

abstract = "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.",

keywords = "cosmology: cosmic microwave background, cosmology: early universe, cosmology: observations, methods: data analysis, techniques: image processing",

author = "McEwen, \{Jason D\} and Martin Buttner and Boris Leistedt and Peiris, \{Hiranya V.\} and Pierre Vandergheynst and Yves Wiaux",

year = "2015",

month = jul,

doi = "10.1017/S1743921314011107",

language = "English",

volume = "10",

pages = "64--67",

journal = "Proceedings of the International Astronomical Union",

issn = "1743-9213",

publisher = "Cambridge University Press",

number = "S306",

note = "IAU Symposium 306 : Statistical Challenges in 21st Century Cosmology, SCCC21 ; Conference date: 25-05-2014 Through 29-05-2014",

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TY - JOUR

T1 - On spin scale-discretised wavelets on the sphere for the analysis of CMB polarisation

AU - McEwen, Jason D

AU - Buttner, Martin

AU - Leistedt, Boris

AU - Peiris, Hiranya V.

AU - Vandergheynst, Pierre

AU - Wiaux, Yves

PY - 2015/7

Y1 - 2015/7

N2 - 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.

AB - 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.

KW - cosmology: cosmic microwave background

KW - cosmology: early universe

KW - cosmology: observations

KW - methods: data analysis

KW - techniques: image processing

UR - https://www.scopus.com/pages/publications/84958966837

U2 - 10.1017/S1743921314011107

DO - 10.1017/S1743921314011107

M3 - Article

SN - 1743-9213

VL - 10

SP - 64

EP - 67

JO - Proceedings of the International Astronomical Union

JF - Proceedings of the International Astronomical Union

IS - S306

T2 - IAU Symposium 306

Y2 - 25 May 2014 through 29 May 2014

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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