Testing the ABS method with the simulated Planck temperature maps

Abstract

In this study, we apply the Analytical method of Blind Separation (ABS) of the cosmic microwave background (CMB) from foregrounds to estimate the CMB temperature power spectrum from multi-frequency microwave maps. We test the robustness of the ABS estimator and assess the accuracy of the power spectrum recovery by using realistic simulations based on the seven-frequency Planck data, including various frequency-dependent and spatially-varying foreground components (synchrotron, free-free, thermal dust and anomalous microwave emission), as well as an uncorrelated Gaussian-distributed instrumental noise. Considering no prior information about the foregrounds, the ABS estimator can analytically recover the CMB power spectrum over almost all scales with less than $0.5\%$ error for maps where the Galactic plane region ($|b|<10^{\circ }$) is masked out. To further test the flexibility and effectiveness of the ABS approach in a variety of situations, we apply the ABS to the simulated Planck maps in three cases: (1) without any mask, (2) imposing a two-times-stronger synchrotron emission and (3) including only the Galactic plane region ($|b|<10^{\circ }$) in the analysis. In such extreme cases, the ABS approach can still provide an unbiased estimate of band powers at the level of 1 $\mu {\mathrm{K}}^2$ on average over all $\ell$ range, and the recovered powers are consistent with the input values within 1-$\sigma$ for most $\ell$ bins.

arXiv comment12 pages, 11 figures, revised version, accepted to APJS

References in corpus (53)

• Planck 2015 results. XIII. Cosmological parameters
• Planck 2013 results. XVI. Cosmological parameters
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Efficient Computation of CMB anisotropies in closed FRW models
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• An All-Sky Analysis of Polarization in the Microwave Background
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Foreground Emission
• A Probe of Primordial Gravity Waves and Vorticity
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• Cosmic Microwave Background Anisotropies
• The Primordial Inflation Explorer (PIXIE): A Nulling Polarimeter for Cosmic Microwave Background Observations
• A high resolution foreground cleaned CMB map from WMAP
• A model of diffuse Galactic Radio Emission from 10 MHz to 100 GHz
• Mission design of LiteBIRD
• High Resolution Observations of the CMB Power Spectrum with ACBAR
• The Atacama Cosmology Telescope: Cosmological parameters from three seasons of data
• The Anisotropy of the Microwave Background to l = 3500: Deep Field Observations with the Cosmic Background Imager
• A method for subtracting foregrounds from multi-frequency CMB sky maps
• A Measurement of the Cosmic Microwave Background B-Mode Polarization Power Spectrum at Sub-Degree Scales with POLARBEAR
• A full sky, low foreground, high resolution CMB map from WMAP
• The Atacama Cosmology Telescope: Temperature and Gravitational Lensing Power Spectrum Measurements from Three Seasons of Data
• Component separation methods for the Planck mission
• The Python Sky Model: software for simulating the Galactic microwave sky
• Global, Exact Cosmic Microwave Background Data Analysis Using Gibbs Sampling
• PRISM (Polarized Radiation Imaging and Spectroscopy Mission): An Extended White Paper
• Separation of anomalous and synchrotron emissions using WMAP polarization data
• Power spectrum estimation from high-resolution maps by Gibbs sampling
• Multi-Detector Multi-Component spectral matching and applications for CMB data analysis
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Galactic Foreground Emission
• Foreground separation methods for satellite observations of the cosmic microwave background
• A refined model for spinning dust radiation
• Foreground component separation with generalised ILC
• Application of Monte Carlo Algorithms to the Bayesian Analysis of the Cosmic Microwave Background
• Exploring Cosmic Origins with CORE: Survey requirements and mission design
• Measurements of Sub-degree B-mode Polarization in the Cosmic Microwave Background from 100 Square Degrees of SPTpol Data
• Spinning dust emission: the effect of rotation around a non-principal axis
• Multi-resolution internal template cleaning: An application to the Wilkinson Microwave Anisotropy Probe 7-yr polarization data
• First results from the Very Small Array -- I. Observational methods
• Estimation of Polarized Power Spectra by Gibbs sampling
• QUBIC: The QU Bolometric Interferometer for Cosmology
• A blind estimation of the power spectrum of CMB anisotropy from WMAP
• CMB anisotropy power spectrum using linear combinations of WMAP maps
• Wiener Filtering of the COBE DMR Data
• CMB power spectrum estimation and map reconstruction with the Expectation - Maximization algorithm
• Estimating the spectral indices of correlated astrophysical foregrounds by a second-order statistical approach
• Extracting cosmic microwave background polarisation from satellite astrophysical maps
• NPTFit: A code package for Non-Poissonian Template Fitting
• Blind component separation for polarized observations of the CMB
• A Statistical Analysis of the "Internal Linear Combination" Method in Problems of Signal Separation as in CMB Observations

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