Spherical needlets for cosmic microwave background data analysis |
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| Authors: | D Marinucci D Pietrobon A Balbi P Baldi P Cabella G Kerkyacharian P Natoli D Picard N Vittorio |
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| Institution: | Dipartimento di Matematica, Universitàdi Roma 'Tor Vergata', Via della Ricerca Scientifica 1, 00133 Roma;Dipartimento di Fisica, Universitàdi Roma 'Tor Vergata', Via della Ricerca Scientifica 1, 00133 Roma;INFN Sezione di Roma 'Tor Vergata', Via della Ricerca Scientifica 1, 00133 Roma;University of Oxford, Astrophysics, Keble Road, Oxford OX1 3RH;Universitéde Paris 10 and Laboratoire de Probabilités et Modèles Aléatoires;Universitéde Paris 7 and Laboratoire de Probabilités et Modèles Aléatoires |
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| Abstract: | We discuss spherical needlets and their properties. Needlets are a form of spherical wavelets which do not rely on any kind of tangent plane approximation and enjoy good localization properties in both pixel and harmonic space; moreover needlet coefficients are asymptotically uncorrelated at any fixed angular distance, which makes their use in statistical procedures very promising. In view of these properties, we believe needlets may turn out to be especially useful in the analysis of cosmic microwave background (CMB) data on the incomplete sky, as well as of other cosmological observations. As a final advantage, we stress that the implementation of needlets is computationally very convenient and may rely completely on standard data analysis packages such as healp ix. |
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| Keywords: | methods: data analysis cosmic microwave background cosmology: observations |
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