Cosmic microwave background power spectrum estimation and map reconstruction with the expectation-maximization algorithm

  title={Cosmic microwave background power spectrum estimation and map reconstruction with the expectation-maximization algorithm},
  author={Enrique Martinez-Gonzalez and Jose M. Diego and Patricio Vielva and Joseph I. Silk},
  journal={Monthly Notices of the Royal Astronomical Society},
We apply the iterative expectation-maximization algorithm (EM) to estimate the power spectrum of the cosmic microwave background (CMB) from multifrequency microwave maps. In addition, we are also able to provide a reconstruction of the CMB map. By assuming that the combined emission of the foregrounds plus the instrumental noise is Gaussian distributed in Fourier space, we have simplified the EM procedure, finding an analytical expression for the maximization step. By using the simplified… Expand

Figures from this paper

Testing the ABS Method with the Simulated Planck Temperature Maps
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-frequencyExpand
Testing the analytical blind separation method in simulated CMB polarization maps
Context. Multi-frequency observations are needed to separate the cosmic microwave background (CMB) from foreground emission and accurately extract cosmological information from the data. TheExpand
Correlated component analysis for diffuse component separation with error estimation on simulated Planck polarization data
We present a data analysis pipeline for cosmic microwave background (CMB) polarization experiments, running from multifrequency maps to the power spectra. We focus mainly on component separation and,Expand
Effect of component separation on the temperature distribution of the cosmic microwave background
We present a study of the effect of component separation on the recovered cosmic microwave background (CMB) temperature distribution. First, we extract the CMB component from simulated multifrequencyExpand
Effect of foregrounds on the cosmic microwave background radiation multipole alignment
We analyse the effect of foregrounds on the observed alignment of the cosmic microwave background radiation (CMBR) quadrupole and octopole. The alignment between these multipoles is studied by usingExpand
Multiresolution internal template cleaning: an application to the Wilkinson Microwave Anisotropy Probe 7-yr polarization data
The cosmic microwave background (CMB) radiation data obtained by different experiments contain, besides the desired signal, a superposition of microwave sky contributions. Using a waveletExpand
Sparsity and cosmology: inverse problems in cosmic microwave background experiments
We propose a new method to better estimate and subtract the contribution of detected compact sources to the microwave sky. These bright compact source emissions contaminate the full-sky data over aExpand
Foreground separation using a flexible maximum-entropy algorithm: an application to COBE data
A flexible maximum-entropy component separation algorithm is presented that accommodates anisotropic noise, incomplete sky-coverage and uncertainties in the spectral parameters of foregrounds. TheExpand
Planck 2013 results. XII. Diffuse component separation
Planck has produced detailed all-sky observations over nine frequency bands between 30 and 857 GHz. These observations allow robust reconstruction of the primordial cosmic microwave background (CMB)Expand
Sparse point-source removal for full-sky CMB experiments: application to WMAP 9-year data
Missions such as WMAP or Planck measure full-sky fluctuations of the cosmic microwave background and foregrounds, among which bright compact source emissions cover a significant fraction of the sky.Expand


A method for subtracting foregrounds from multifrequency CMB sky maps
An improved method for subtracting contaminants from Cosmic Microwave Background (CMB) sky maps is presented, and used to estimate how well future experiments will be able to recover the primordialExpand
Galactic Microwave Emission at Degree Angular Scales
We cross-correlate the Saskatoon Ka- and Q-band cosmic microwave background (CMB) data with different maps to quantify possible foreground contamination. We detect a marginal correlation (2 σ) withExpand
The Anisotropy of the Microwave Background to l = 3500: Mosaic Observations with the Cosmic Background Imager
Using the Cosmic Background Imager (CBI), a 13-element interferometer array operating in the 26-36 GHz frequency band, we have observed 40 deg2 of sky in three pairs of fields, each ~145' × 165',Expand
Neural networks and the separation of cosmic microwave background and astrophysical signals in sky maps
We implement an independent component analysis (ICA) algorithm to separate signals of different origin in sky maps at several frequencies. Owing to its self-organizing capability, it works withoutExpand
All-sky component separation for the Planck mission
A harmonic-space maximum-entropy method (MEM) is presented for separating the emission from different physical components in all-sky observations by the forthcoming Planck satellite. The analysis isExpand
Degree Angular Scale Interferometer First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
We present measurements of anisotropy in the cosmic microwave background (CMB) from the first season of observations with the Degree Angular Scale Interferometer (DASI). The instrument was deployedExpand
Point source detection using the Spherical Mexican Hat Wavelet on simulated all-sky Planck maps
We present an estimation of the point source (PS) catalogue that could be extracted from the forthcoming ESA Planck mission data. We have applied the Spherical Mexican Hat Wavelet (SMHW) to simulatedExpand
Foregrounds and CMB experiments: I. Semi-analytical estimates of contamination
Abstract As Cosmic Microwave Background (CMB) measurements are becoming more ambitious, the issue of foreground contamination is becoming more pressing. This is especially true at the level ofExpand
Isotropic wavelets: a powerful tool to extract point sources from cosmic microwave background maps
It is the aim of this paper to introduce the use of isotropic wavelets to detect and determine the flux of point sources appearing in cosmic microwave background (CMB) maps. The most suitable waveletExpand
The cosmic microwave background power spectrum out to ℓ= 1400 measured by the Very Small Array
We have observed the cosmic microwave background (CMB) in three regions of sky using the Very Small Array (VSA) in an extended configuration with antennas of beamwidth 2° at 34 GHz. Combined withExpand