Search for non-Gaussianity in pixel, harmonic and wavelet space: compared and combined

Abstract

We present a comparison between three approaches to test non-Gaussianity of cosmic microwave background data. The Minkowski functionals, the empirical process method and the skewness of wavelet coefficients are applied to maps generated from non-standard inflationary models and to Gaussian maps with point sources included. We discuss the different power of the pixel, harmonic and wavelet space methods on these simulated almost full-sky data (with Planck like noise). We also suggest a new procedure consisting of a combination of statistics in pixel, harmonic and wavelet space.

Accepted for publication in PRD

References in corpus (6)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• High-Resolution Simulations of Cosmic Microwave Background non-Gaussian Maps in Spherical Coordinates
• The trispectrum of the Cosmic Microwave Background on sub-degree angular scales: an analysis of the BOOMERanG data
• The extended empirical process test for non-Gaussianity in the CMB, with an application to non-Gaussian inflationary models
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• New Approaches to Probing Minkowski Functionals
• Auto and cross correlation of phases of the whole-sky CMB and foreground maps from the 1-year WMAP data
• The One-dimensional Fourier Representation and Large Angular Scale Foreground Contamination in the 3-year Wilkinson Microwave Anisotropy Probe data
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• Testing for foreground residuals in the Planck foreground cleaned maps: A new method for designing confidence masks
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