Data analysis methods for the cosmic microwave background

Abstract

In this review, we give an overview of some of the major aspects of data reduction and analysis for the cosmic microwave background (CMB). Since its prediction and discovery in the last century, the CMB radiation has proven itself to be one of our most valuable tools for precision cosmology. Recently, and especially when combined with complementary cosmological data, measurements of the CMB anisotropies have provided us with a wealth of quantitive information about the birth, evolution and structure of our Universe. We begin with a simple, general introduction to the physics of the CMB, including a basic overview of the experiments which record CMB data. The focus, however, will be the data analysis treatment of CMB data sets.

41 pages, 21 figures

References in corpus (122)

• Maps of Dust IR Emission for Use in Estimation of Reddening and CMBR Foregrounds
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Foreground Emission
• Wilkinson Microwave Anisotropy Probe (WMAP) First Year Observations: TE Polarization
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• MASTER of the CMB Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex CMB Data Sets
• Asymmetries in the CMB anisotropy field
• Second-Order Cosmological Perturbations from Inflation
• Cosmological parameters from combining the Lyman-alpha forest with CMB, galaxy clustering and SN constraints
• Detection of Polarization in the Cosmic Microwave Background using DASI
• A high resolution foreground cleaned CMB map from WMAP
• Extrapolation of Galactic Dust Emission at 100 Microns to CMBR Frequencies Using FIRAS
• Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets
• Determination of Inflationary Observables by Cosmic Microwave Background Anisotropy Experiments
• Estimating the Power Spectrum of the Cosmic Microwave Background
• How to measure CMB power spectra without losing information
• A High Spatial Resolution Analysis of the MAXIMA-1 Cosmic Microwave Background Anisotropy Data
• High Resolution Observations of the CMB Power Spectrum with ACBAR
• Multipole Vectors--a new representation of the CMB sky and evidence for statistical anisotropy or non-Gaussianity at 2<=l<=8
• The Anisotropy of the Microwave Background to l = 3500: Mosaic Observations with the Cosmic Background Imager
• On Foreground Removal from the Wilkinson Microwave Anisotropy Probe Data by an Internal Linear Combination Method: Limitations and Implications
• Radical Compression of Cosmic Microwave Background Data
• A Measurement of the CMB <EE> Spectrum from the 2003 Flight of BOOMERANG
• A Measurement of the Angular Power Spectrum of the CMB Temperature Anisotropy from the 2003 Flight of Boomerang
• Fast estimation of polarization power spectra using correlation functions
• Myths and Truths Concerning Estimation of Power Spectra
• An Observational Test of Two-field Inflation
• Polarization Observations with the Cosmic Background Imager
• Global, Exact Cosmic Microwave Background Data Analysis Using Gibbs Sampling
• The Effect of Physical Assumptions on the Calculation of Microwave Background Anisotropies
• Power spectrum estimation from high-resolution maps by Gibbs sampling
• High sensitivity measurements of the CMB power spectrum with the extended Very Small Array
• Multi-Detector Multi-Component spectral matching and applications for CMB data analysis
• The Cosmic Microwave Background Anisotropy Power Spectrum measured by Archeops
• Non-Gaussian Signatures in the Temperature Fluctuation Observed by the Wilkinson Microwave Anisotropy Probe
• DASI Three-Year Cosmic Microwave Background Polarization Results
• Asymmetries in the local curvature of the WMAP data
• Cosmic microwave background anisotropy power spectrum statistics for high precision cosmology
• The Pseudo-$C_l$ method: Cosmic microwave background anisotropy power spectrum statistics for high precision cosmology
• How to measure CMB polarization power spectra without losing information
• All-sky astrophysical component separation with Fast Independent Component Analysis (FastICA)
• Foregrounds and CMB Experiments: I. Semi-analytical estimates of contamination
• A measurement of the polarization-temperature angular cross power spectrum of the Cosmic Microwave Background from the 2003 flight of BOOMERANG
• Xspect, estimation of the angular power spectrum by computing cross-power spectra with analytical error bars
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Beam Profiles and Window Functions
• Interferometric Observation of Cosmic Microwave Background Anisotropies
• Application of Monte Carlo Algorithms to the Bayesian Analysis of the Cosmic Microwave Background
• Towards a model of full-sky Galactic synchrotron intensity and linear polarisation: a re-analysis of the Parkes data
• Detection of anomalous microwave emission in the Perseus molecular cloud with the COSMOSOMAS experiment
• Instrument, Method, Brightness and Polarization Maps from the 2003 flight of BOOMERanG
• Design, Implementation and Testing of the MAP Radiometers
• Improved Measurement of the Angular Power Spectrum of Temperature Anisotropy in the CMB from Two New Analyses of BOOMERANG Observations
• Observables sensitive to absolute neutrino masses: A reappraisal after WMAP-3y and first MINOS results
• CMB temperature and polarisation pseudo-Cl estimators and covariances
• Constraining Neutrino Masses by CMB Experiments Alone
• BOOMERANG: A Balloon-borne Millimeter Wave Telescope and Total Power Receiver for Mapping Anisotropy in the Cosmic Microwave Background
• Lensing Induced Cluster Signatures in Cosmic Microwave Background
• First Detection of Polarization of the Submillimetre Diffuse Galactic Dust Emission by Archeops
• CMB in Open Inflation
• A Map-Making Algorithm for the Planck Surveyor
• First measurements of the polarization of the cosmic microwave background radiation at small angular scales from CAPMAP
• MAPCUMBA : a fast iterative multi-grid map-making algorithm for CMB experiments
• The Planck-LFI instrument: analysis of the 1/f noise and implications for the scanning strategy
• Distinguishing Causal Seeds from Inflation
• Error analysis of quadratic power spectrum estimates for CMB polarization: sampling covariance
• Bayesian Power Spectrum Analysis of the First-Year WMAP data
• Making Maps Of The Cosmic Microwave Background: The MAXIMA Example
• The entropic prior for distributions with positive and negative values
• Hybrid Estimation of CMB Polarization Power Spectra
• Archeops: A High Resolution, Large Sky Coverage Balloon Experiment for Mapping CMB Anisotropies
• ROMA: a map-making algorithm for polarised CMB data sets
• Using Markov chain Monte Carlo methods for estimating parameters with gravitational radiation data
• Fast Spherical Harmonic Analysis: a quick algorithm for generating and/or inverting full sky, high resolution CMB Anisotropy maps
• Madam - a map-making method for CMB experiments
• "Sample Variance" in Small-Scale CMB Anisotropy Experiments
• Temperature and polarization angular power spectra of Galactic dust radiation at 353 GHz as measured by Archeops
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Galactic Signal Contamination from Sidelobe Pickup
• Removing 1/f noise stripes in cosmic microwave background anisotropy observations
• The CMB temperature power spectrum from an improved analysis of the Archeops data
• The angular power spectrum of the 4 year COBE data
• Observability of secondary Doppler peaks in the CMBR power spectrum by experiments with small fields
• Large Scale Structure Effects on the Gravitational Lens Image Positions and Time Delay
• A maximum likelihood approach to the destriping technique
• The QMAP and MAT/TOCO Experiments for Measuring Anisotropy in the Cosmic Microwave Background
• Asymmetric Beams in Cosmic Microwave Background Anisotropy Experiments
• Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments
• Fast, exact CMB power spectrum estimation for a certain class of observational strategies
• Fast CMB Power Spectrum Estimation of Temperature and Polarisation with Gabor Transforms
• A method for extracting maximum resolution power spectra from microwave sky maps
• Comparison of map-making algorithms for CMB experiments
• Extracting cosmic microwave background polarisation from satellite astrophysical maps
• Elliptical Beams in CMB Temperature and Polarization Anisotropy Experiments: An Analytic Approach
• Deconvolution Map-Making for Cosmic Microwave Background Observations
• Window Function for Non-Circular Beam CMB Anisotropy Experiment
• Fluctuations in the CMB Induced by Cosmic Strings: Methods and Formalism
• Power Spectrum Estimators For Large CMB Datasets
• The Challenge Of Data Analysis For Future CMB Observations
• Harmonic analysis of cosmic microwave background data I: ring reductions and point-source catalogue
• Harmonic analysis of cosmic microwave background data II: from ring-sets to the sky
• Beam deconvolution in noisy CMB maps
• MAXIMA: A Balloon-Borne Cosmic Microwave Background Anisotropy Experiment
• Non-iterative methods to estimate the in-flight noise properties of CMB detectors
• Mirage: a new iterative Map-Making code for CMB experiments
• Asymfast, a method for convolving maps with asymmetric main beams
• Non-Gaussianity in the Very Small Array CMB maps with Smooth-Goodness-of-fit tests
• Searching for non-Gaussianity in the VSA data
• Goodness-of-Fit Tests to study the Gaussianity of the MAXIMA data
• Noise power spectrum estimation and fast map making for CMB experiments
• CMB observations from the CBI and VSA: A comparison of coincident maps and parameter estimation methods
• Methods for the Pointing Reconstruction of the Planck satellite
• Deconvolving the Beam in Small Angular Scale CMB Experiments
• On the wavelet analysis of CMB time ordered data: application to Archeops
• About the connection between the $C_{\ell }$ power spectrum of the Cosmic Microwave Background and the ${\Gamma }_m$ Fourier spectrum of rings on the sky
• Likelihood Analysis for Mega-Pixel Maps
• Searching for non Gaussian signals in the BOOMERanG 2003 CMB maps

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• Scalar and vector modes in inflation with antisymmetric tensor field
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