Phase analysis of the cosmic microwave background from incomplete sky coverage

2007/05/31 by L.-Y Chiang, Lung-Yih Chiang, Pavel Naselsky +1
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph

paper · pdf · doi:10.1111/j.1745-3933.2007.00352.x

published as Mon.Not.Roy.Astron.Soc.380:L71,2007 · 5 pages, 3 figures submitted to MNRAS Letters, replaced with minor changes

arxiv created 2007/06/14 · openalex publication_date 2007/07/25 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28

Abstract

Abstract Phases of the spherical harmonic analysis of full-sky cosmic microwave background (CMB) temperature data contain useful information complementary to the ubiquitous angular power spectrum. In this Letter we present a new method of phase analysis on incomplete sky maps. It is based on Fourier phases of equal-latitude pixel rings of the map, which are related to the mean angle of the trigonometric moments from the full-sky phases. It has an advantage for probing regions of interest without tapping polluted Galactic plane area, and can localize non-Gaussian features. This method is therefore very useful for detection of departure from Gaussianity and statistical isotropy in the CMB.

Citations

• Examination of Evidence for a Preferred Axis in the Cosmic Radiation Anisotropy
• Three-point temperature anisotropies in WMAP: Limits on CMB non-Gaussianities and nonlinearities
• AUTO- AND CROSS-CORRELATION OF PHASES OF THE WHOLE-SKY CMB AND FOREGROUND MAPS FROM THE 1-YEAR WMAP DATA
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Testing for Non‐Gaussianity in theWilkinson Microwave Anisotropy ProbeData: Minkowski Functionals and the Length of the Skeleton
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• High resolution foreground cleaned CMB map from WMAP