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Correlating Fourier phase information with real-space higher order statistics in CMB data

H. I. Modest1,*, C. Räth1, A. J. Banday2,3, K. M. Górski4,5, and G. E. Morfill1

  • 1Max-Planck Institut für extraterrestrische Physik, PO Box 1312, Giessenbachstraße 1, D-85748 Garching, Germany
  • 2Université de Toulouse, UPS-OMP, IRAP, F-31028 Toulouse CEDEX 4, France
  • 3CNRS, IRAP, 9 Av. Colonel Roche, BP 44346, F-31028 Toulouse CEDEX 4, France
  • 4Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA
  • 5Warsaw University Observatory, Aleje Ujazdowskie 4, 00 - 478 Warszawa, Poland

  • *Corresponding author. hmodest@mpe.mpg.de
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Phys. Rev. D 89, 123004 – Published 5 June, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.123004

Abstract

We present a heuristic study on the correlations between harmonic space phase information and higher-order statistics. Using the spherical full-sky maps of the cosmic microwave background as an example, we demonstrate that known phase correlations at large spatial scales can gradually be diminished when subtracting a suitable best-fit (Bianchi-)template map of a given strength. The weaker phase correlations are attended by a vanishing signature of anisotropy when measuring the Minkowski functionals and scaling indices in real space with the aid of surrogate maps being free of phase correlations. Those investigations can open a new road to a better understanding of signatures of non-Gaussianities in complex spatial structures, especially by elucidating the meaning of Fourier phase correlations and their influence on higher-order statistics.

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Phys. Rev. D 89, 123004– Published 5 June, 2014
  • Received 11 October 2013

© 2014 American Physical Society

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