Needatool: A Needlet Analysis Tool for Cosmological Data Processing

Abstract

We introduce NeedATool (Needlet Analysis Tool), a software for data analysis based on needlets, a wavelet rendition which is powerful for the analysis of fields defined on a sphere. Needlets have been applied successfully to the treatment of astrophysical and cosmological observations, and in particular to the analysis of cosmic microwave background (CMB) data. Usually, such analyses are performed in real space as well as in its dual domain, the harmonic one. Both spaces have advantages and disadvantages: for example, in pixel space it is easier to deal with partial sky coverage and experimental noise; in harmonic domain, beam treatment and comparison with theoretical predictions are more effective. During the last decade, however, wavelets have emerged as a useful tool for CMB data analysis, since they allow to combine most of the advantages of the two spaces, one of the main reasons being their sharp localisation. In this paper, we outline the analytical properties of needlets and discuss the main features of the numerical code, which should be a valuable addition to the CMB analyst's toolbox.

software available at: http://www.fisica.uniroma2.it/~pietrobon/dp_files/dp_NeedATool_download.html

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• Subsampling needlet coefficients on the sphere
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Cited by in corpus (9)

• Exact Wavelets on the Ball
• S2LET: A code to perform fast wavelet analysis on the sphere
• Localisation of directional scale-discretised wavelets on the sphere
• Simulated forecasts for primordial B-mode searches in ground-based experiments
• New Approaches to Probing Minkowski Functionals
• North-South non-Gaussian asymmetry in PLANCK CMB maps
• Constraints on general primordial non-Gaussianity using wavelets for the Wilkinson Microwave anisotropy probe 7-year data
• Searching for primordial non-Gaussianity in Planck CMB maps using a combined estimator
• Expanded Generalized Needlet Internal Linear Combination (eGNILC) Framework for the 21-cm Foreground Removal