Interferometric Observation of Cosmic Microwave Background Anisotropies

Abstract

We present a formalism for analyzing interferometric observations of Cosmic Microwave Background (CMB) anisotropy and polarization data. The formalism is based upon the ell-space expansion of the angular power spectrum favoured in recent years. Explicit discussions of maximum likelihood analysis, power spectrum reconstruction, parameter estimation, imaging and polarization are given. As an example, several calculations for the Degree Angular Scale Interferometer (DASI) and Cosmic Background Interferometer (CBI) experiments are presented.

25 pages, 5 figures, minor changes to reflect final version accepted by ApJ

References in corpus (13)

• Maps of Dust IR Emission for Use in Estimation of Reddening and CMBR Foregrounds
• A CMB Polarization Primer
• CMB Anisotropies: Total Angular Momentum Method
• Estimating the Power Spectrum of the Cosmic Microwave Background
• Microwave Background Constraints on Cosmological Parameters
• Diffuse Galactic Emission from Spinning Dust Grains
• An Anomalous Component of Galactic Emission
• Measuring the galaxy power spectrum with future redshift surveys
• A Complete Treatment of CMB Anisotropies in a FRW Universe
• Galactic microwave emission at degree angular scales
• Angular Power Spectra of the COBE DIRBE Maps
• Spatial Correlation Between H-Alpha Emission and Infrared Cirrus
• A Remark on the Estimation of Angular Power Spectra in the Presence of Foregrounds

Cited by in corpus (108)

• Cosmology at Low Frequencies: The 21 cm Transition and the High-Redshift Universe
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• Detection of Polarization in the Cosmic Microwave Background using DASI
• CMB Lensing Reconstruction on the Full Sky
• Cosmological Parameter Estimation Using 21 cm Radiation from the Epoch of Reionization
• Weak Lensing of the CMB: A Harmonic Approach
• The Precision Array for Probing the Epoch of Reionization: 8 Station Results
• 21 Centimeter Fluctuations from Cosmic Gas at High Redshifts
• Elemental Abundances in QSOs: Star Formation and Galactic Nuclear Evolution at High Redshifts
• Bright Source Subtraction Requirements For Redshifted 21 cm Measurements
• The Anisotropy of the Microwave Background to l = 3500: Deep Field Observations with the Cosmic Background Imager
• Late-time cosmology with 21cm intensity mapping experiments
• Multifrequency analysis of 21 cm fluctuations from the Era of Reionization
• The Anisotropy of the Microwave Background to l = 3500: Mosaic Observations with the Cosmic Background Imager
• Toward Epoch of Reionization Measurements with Wide-Field Radio Observations
• Planck Early Results XVIII: The power spectrum of cosmic infrared background anisotropies
• Polarization Observations with the Cosmic Background Imager
• Benchmark Parameters for CMB Polarization Experiments
• Foregrounds for observations of the cosmological 21 cm line: I. First Westerbork measurements of Galactic emission at 150 MHz in a low latitude field
• The GMRT-EoR Experiment: A new upper limit on the neutral hydrogen power spectrum at z~8.6
• Foreground Contamination in Interferometric Measurements of the Redshifted 21 cm Power Spectrum
• The Angular Trispectra of CMB Temperature and Polarization
• First Intrinsic Anisotropy Observations with the Cosmic Background Imager
• On using angular cross-correlations to determine source redshift distributions
• Imprint of Reionization on the Cosmic Microwave Background Bispectrum
• Small-Angle CMB Temperature Anisotropies Induced by Cosmic Strings
• Analytic Minkowski Functionals of the Cosmic Microwave Background: Second-order Non-Gaussianity with Bispectrum and Trispectrum
• Imprint of Intergalactic Shocks on the Radio Sky
• Linear polarization structures in LOFAR observations of the interstellar medium in the 3C196 field
• A Fast Gridded Method for the Estimation of the Power Spectrum of the CMB from Interferometer Data with Application to the Cosmic Background Imager
• Lensing Reconstruction using redshifted 21cm Fluctuations
• An Intensity Mapping Detection of Aggregate CO Line Emission at 3 mm
• Three-dimensional Multi-probe Analysis of the Galaxy Cluster A1689
• Extracting HI cosmological signal with Generalized Needlet Internal Linear Combination
• Estimate of the Cosmological Bispectrum from the MAXIMA-1 Cosmic Microwave Background Map
• Maximum-likelihood estimation of the CMB power spectrum from interferometer observations
• Experiment Design and First Season Observations with the Degree Angular Scale Interferometer
• The Projected Dark and Baryonic Ellipsoidal Structure of 20 CLASH Galaxy Clusters
• Fluctuations in the Radio Background from Intergalactic Synchrotron Emission
• A Study of ISM of Dwarf Galaxies Using HI Power Spectrum Analysis
• Visibility based angular power spectrum estimation in low frequency radio interferometric observations
• The CMB temperature bispectrum induced by cosmic strings
• Multiple Methods for Estimating the Bispectrum of the Cosmic Microwave Background with Application to the MAXIMA Data
• Beyond the Damping Tail: Cross-Correlating the Kinetic Sunyaev-Zel'dovich Effect with Cosmic Shear
• Measurement of Arcminute Scale Anisotropy with the BIMA Array
• Spherical Harmonic Analyses of Intensity Mapping Power Spectra
• Constraints on Fundamental Cosmological Parameters with Upcoming Redshifted 21 cm Observations
• Detecting Cosmic Strings in the CMB with the Canny Algorithm
• Canny Algorithm, Cosmic Strings and the Cosmic Microwave Background
• Mapping Incoherent Gravitational Wave Backgrounds
• The QMAP and MAT/TOCO Experiments for Measuring Anisotropy in the Cosmic Microwave Background
• The SZ Effect Signature of Excess Entropy in Distant, Massive Clusters
• Edge Detection, Cosmic Strings and the South Pole Telescope
• Prospects for clustering and lensing measurements with forthcoming intensity mapping and optical surveys
• Simulating full-sky interferometric observations
• The Sunyaev-Zeldovich Background
• The Yuan-Tseh Lee Array for Microwave Background Anisotropy
• The Zeldovich approximation and wide-angle redshift-space distortions
• Mapping metals at high redshift with far-infrared lines
• A Measurement of Arcminute Anisotropy in the Cosmic Microwave Background with the Sunyaev-Zel'dovich Array
• Sunyaev-Zel'dovich clusters reconstruction in multiband bolometer camera surveys
• Beam mismatch effects in Cosmic Microwave Background polarization measurements
• Cross-correlation Study between the Cosmological 21-cm Signal and the kinetic Sunyaev-Zel'dovich effect
• Predictions for measuring the 21-cm multi-frequency angular power spectrum using SKA-Low
• A possible contribution to CMB anisotropies at high l from primordial voids
• Searching for Intergalactic Shocks with the SKA
• Systematic Errors in Cosmic Microwave Background Interferometry
• Complex Visibilities of Cosmic Microwave Background Anisotropies
• High-resolution imaging of the cosmic mass distribution from gravitational lensing of pregalactic HI
• Observational Strategies of CMB Temperature and Polarization Interferometry Experiments
• Multi-Scale Pipeline for the Search of String-Induced CMB Anisotropies
• Limits on Arcminute Scale Cosmic Microwave Background Anisotropy with the BIMA Array
• A Technique for Foreground Subtraction in Redshifted 21 cm Observations
• A hybrid approach to CMB lensing reconstruction on all-sky intensity maps
• Can We Detect the Anisotropic Shapes of Quasar HII Regions During Reionization Through The Small-Scale Redshifted 21cm Power Spectrum?
• Matched filtering with interferometric 21cm experiments
• AMiBA Wideband Analog Correlator
• Cosmic string induced CMB maps
• Level Crossing Analysis of Cosmic Microwave Background Radiation: A method for detecting cosmic strings
• Analytical model for CMB temperature angular power spectrum from cosmic (super-)strings
• CMB Observations with a Compact Heterogeneous 150 GHz Interferometer in Chile
• Bayesian angular power spectrum analysis of interferometric data
• Data analysis methods for the cosmic microwave background
• Cosmic String Detection with Tree-Based Machine Learning
• Mosaicking with cosmic microwave background interferometers
• Integrated perturbation theory for cosmological tensor fields. III. Projection effects
• Line-of-sight Elongation and Hydrostatic Mass Bias of the Frontier Fields Galaxy Cluster Abell 370
• Gaussianity of the CMB: Smooth Goodness of Fit Tests Applied to Interferometric Data
• Bayesian Inference of Polarized CMB Power Spectra from Interferometric Data
• Sensitivity of a Bolometric Interferometer to the CMB power spectrum
• The Annulus-Filtered E and B Modes in CMBR Polarization
• A Method to Extract the Angular Power Spectrum of the Epoch of Reionization from Low-Frequency Radio Interferometers
• Studying the Multi-frequency Angular Power Spectrum of the Cosmic Dawn 21-cm Signal
• The High-Redshift Neutral Hydrogen Signature of an Anisotropic Matter Power Spectrum
• Maximum likelihood analysis of systematic errors in interferometric observations of the cosmic microwave background
• Systematic Effects in Interferometric Observations of the CMB Polarization
• Bandwidth in bolometric interferometry
• Simulation of Cosmic Microwave Background Polarization Fields for AMiBA Experiment
• A Statistical Strategy for the Sunyaev-Zel'dovich Effect's Cluster Data
• Optimizing interferometer experiments for CMB B mode measurement
• Separating Angular and Radial Modes with Spherical-Fourier Bessel Power Spectrum on All Scales and Implications for Systematics Mitigation
• Negative intensity patches in angular variations of CMB as a probe of the period of reionization
• Cosmic Strings-induced CMB anisotropies in light of Weighted Morphology
• Foreground removal and angular power spectrum estimation of 21 cm signal using harmonic space ILC method
• Radio Interferometers with wide bandwidths
• Probing the Origins of Voids in the Distribution of Galaxies
• A New Estimator for Phase Statistics
• Fisher Matrix Optimization of Cosmic Microwave Background Interferometers