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. ISSN 1550-7998.
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Official URL: http://dx.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.
Item URL in elib: | https://elib.dlr.de/95403/ | ||||||||||||||||||
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Document Type: | Article | ||||||||||||||||||
Title: | Correlating Fourier phase information with real-space higher order statistics in CMB data | ||||||||||||||||||
Authors: |
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Date: | 2014 | ||||||||||||||||||
Journal or Publication Title: | Physical Review D : Particles, Fields, Gravitation and Cosmology | ||||||||||||||||||
Refereed publication: | Yes | ||||||||||||||||||
Open Access: | Yes | ||||||||||||||||||
Gold Open Access: | No | ||||||||||||||||||
In SCOPUS: | Yes | ||||||||||||||||||
In ISI Web of Science: | No | ||||||||||||||||||
Volume: | 89 | ||||||||||||||||||
Publisher: | American Physical Society | ||||||||||||||||||
ISSN: | 1550-7998 | ||||||||||||||||||
Status: | Published | ||||||||||||||||||
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: | 18 Nov 2020 04:22 |
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