Phase analysis of the cosmic microwave background from an incomplete sky coverage
arXiv:0705.1626 · doi:10.1111/j.1745-3933.2007.00352.x
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. They have an advantage for probing regions of interest without tapping polluted Galactic plane area, and can localize non-Gaussian features and departure from statistical isotropy in the CMB.
5 pages, 3 figures submitted to MNRAS Letters, replaced with minor changes
References in corpus (10)
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
- Hemispherical power asymmetry in the three-year Wilkinson Microwave Anisotropy Probe sky maps
- The Uncorrelated Universe: Statistical Anisotropy and the Vanishing Angular Correlation Function in WMAP Years 1-3
- The non-Gaussian Cold Spot in the 3-year WMAP data
- A high-significance detection of non-Gaussianity in the WMAP 5-year data using directional spherical wavelets
- Alignment tests for low CMB multipoles
- A high-significance detection of non-Gaussianity in the WMAP 3-year data using directional spherical wavelets
- Testing Gaussian random hypothesis with the cosmic microwave background temperature anisotropies in the three-year WMAP data
- The One-dimensional Fourier Representation and Large Angular Scale Foreground Contamination in the 3-year Wilkinson Microwave Anisotropy Probe data
Cited by in corpus (6)
- Understanding the WMAP Cold Spot mystery
- On the Coherence of WMAP and Planck Temperature Maps
- Search for non-Gaussianities in the WMAP data with the Scaling Index Method
- Correlating Fourier phase information with real-space higher order statistics
- Phase statistics of the WMAP 7 year data
- Structure in Galaxy Distribution. III. Fourier Transforming the Universe