The Gauss-Legendre Sky Pixelization for the CMB polarization (GLESP-pol). Errors due to pixelization of the CMB sky

Abstract

We present developing of method of the numerical analysis of polarization in the Gauss--Legendre Sky Pixelization (GLESP) scheme for the CMB maps. This incorporation of the polarization transforms in the pixelization scheme GLESP completes the creation of our new method for the numerical analysis of CMB maps. The comparison of GLESP and HEALPix calculations is done.

23 pages, 12 figures

References in corpus (21)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• An All-Sky Analysis of Polarization in the Microwave Background
• Statistics of Cosmic Microwave Background Polarization
• Signature of Gravity Waves in Polarization of the Microwave Background
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectra
• Evidence of vorticity and shear at large angular scales in the WMAP data: a violation of cosmological isotropy?
• On Foreground Removal from the Wilkinson Microwave Anisotropy Probe Data by an Internal Linear Combination Method: Limitations and Implications
• Analytic approach to the polarization of the cosmic microwave background in flat and open universes
• Lensed CMB power spectra from all-sky correlation functions
• Non-Gaussianity of the derived maps from the first-year WMAP data
• Gauss--Legendre Sky Pixelization (GLESP) for CMB maps
• Second and third season QUaD CMB temperature and polarization power spectra
• Correspondence principle between spherical and Euclidean wavelets
• Fast Spherical Harmonic Analysis: a quick algorithm for generating and/or inverting full sky, high resolution CMB Anisotropy maps
• Phase cross-correlation of the WMAP ILC map and foregrounds
• Markov chain Monte Carlo analysis of Bianchi VII_h models
• Cross-correlation of the CMB and foregrounds phases derived from the WMAP data

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