Scalar wavelets have been used extensively in the analysis of cosmic microwave background (CMB) temperature maps. Spin needlets are a new form of (spin) wavelets which were introduced in the mathematical literature by Geller and Marinucci (2008) as a tool for the analysis of spin random fields. Here we adopt the spin needlet approach for the analysis of CMB polarization measurements. The outcome of experiments measuring the polarization of the CMB are maps of the Stokes Q and U parameters which are spin two quantities. Here we discuss how to transform these spin two maps into spin two needlet coefficients and outline briefly how these coefficients can be used in the analysis of CMB polarization data. We review the most important properties of spin needlets, such as localization in pixel and harmonic space and asymptotic uncorrelation. We discuss several statistical applications, including the relation of angular power spectra to the needlet coefficients, testing for non-Gaussianity on polarization data, and reconstruction of the E and B scalar maps.

Geller, D., Hansen, F., Marinucci, D., Kerkyacharian, G., Picard, D. (2008). Spin needlets for cosmic microwave background polarization data analysis, 78(12) [10.1103/PhysRevD.78.123533].

Spin needlets for cosmic microwave background polarization data analysis

MARINUCCI, DOMENICO;
2008-01-01

Abstract

Scalar wavelets have been used extensively in the analysis of cosmic microwave background (CMB) temperature maps. Spin needlets are a new form of (spin) wavelets which were introduced in the mathematical literature by Geller and Marinucci (2008) as a tool for the analysis of spin random fields. Here we adopt the spin needlet approach for the analysis of CMB polarization measurements. The outcome of experiments measuring the polarization of the CMB are maps of the Stokes Q and U parameters which are spin two quantities. Here we discuss how to transform these spin two maps into spin two needlet coefficients and outline briefly how these coefficients can be used in the analysis of CMB polarization data. We review the most important properties of spin needlets, such as localization in pixel and harmonic space and asymptotic uncorrelation. We discuss several statistical applications, including the relation of angular power spectra to the needlet coefficients, testing for non-Gaussianity on polarization data, and reconstruction of the E and B scalar maps.
2008
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore FIS/05 - ASTRONOMIA E ASTROFISICA
English
DIRECTIONAL SPHERICAL WAVELETS; GAUSSIAN COLD SPOT; ANISOTROPY-PROBE; MAPS; 2-SPHERE; PLANCK
Geller, D., Hansen, F., Marinucci, D., Kerkyacharian, G., Picard, D. (2008). Spin needlets for cosmic microwave background polarization data analysis, 78(12) [10.1103/PhysRevD.78.123533].
Geller, D; Hansen, F; Marinucci, D; Kerkyacharian, G; Picard, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/29093
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