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

Modest, Heike I. and Räth, Christoph and Banday, Anthony J. and Górski, Kris M. and Morfill, Gregor E. (2014) Correlating Fourier phase information with real-space higher order statistics in CMB data. Physical Review D : Particles, Fields, Gravitation and Cosmology, 89 (12). American Physical Society. doi: 10.1103/PhysRevD.89.123004. ISSN 1550-7998.

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Official URL: https://doi.org/10.1103/PhysRevD.89.123004


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.

Item URL in elib:https://elib.dlr.de/95403/
Document Type:Article
Title:Correlating Fourier phase information with real-space higher order statistics in CMB data
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Modest, Heike I.Max-Planck Institut für extraterrestrische Physik, 85748 Garching, GermanyUNSPECIFIEDUNSPECIFIED
Räth, ChristophDLR Research Group Complex Plasma, OberpfaffenhofenUNSPECIFIEDUNSPECIFIED
Banday, Anthony J.Université de Toulouse, FranceUNSPECIFIEDUNSPECIFIED
Górski, Kris M.California Institute of Technology, Pasadena, USAUNSPECIFIEDUNSPECIFIED
Morfill, Gregor E.Max-Planck-Institut für extraterrestrische Physik, Giessenbachstrasse, 85748 Garching, GermanyUNSPECIFIEDUNSPECIFIED
Journal or Publication Title:Physical Review D : Particles, Fields, Gravitation and Cosmology
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Publisher:American Physical Society
Keywords:Cosmic Microwave Background, Fourier Phases, Higher Order Statistics, Data Analysis
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Research under Space Conditions
DLR - Research theme (Project):R - Komplexe Plasmen / Data analysis (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Research Group Complex Plasma > Research Group Complex Plasma
Deposited By: Räth, Christoph
Deposited On:24 Feb 2015 16:43
Last Modified:13 Jun 2023 12:30

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