A Fast Gridded Method for the Estimation of the Power Spectrum of the CMB from Interferometer Data with Application to the Cosmic Background Imager

Abstract

We describe an algorithm for the extraction of the angular power spectrum of an intensity field, such as the cosmic microwave background (CMB), from interferometer data. This new method, based on the gridding of interferometer visibilities in the aperture plane followed by a maximum likelihood solution for bandpowers, is much faster than direct likelihood analysis of the visibilities, and deals with foreground radio sources, multiple pointings, and differencing. The gridded aperture-plane estimators are also used to construct Wiener-filtered images using the signal and noise covariance matrices used in the likelihood analysis. Results are shown for simulated data. The method has been used to determine the power spectrum of the cosmic microwave background from observations with the Cosmic Background Imager, and the results are given in companion papers.

Submitted to The Astrophysical Journal; 47 pages including 6 color figures. Additional information at http://www.astro.caltech.edu/~tjp/CBI/

References in corpus (10)

• A measurement by BOOMERANG of multiple peaks in the angular power spectrum of the cosmic microwave background
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• A High Spatial Resolution Analysis of the MAXIMA-1 Cosmic Microwave Background Anisotropy Data
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• The Anisotropy of the Microwave Background to l = 3500: Mosaic Observations with the Cosmic Background Imager
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• First Intrinsic Anisotropy Observations with the Cosmic Background Imager
• The Cosmic Background Imager
• Maximum-likelihood estimation of the CMB power spectrum from interferometer observations
• Short Spacing Synthesis from a Primary Beam Scanned Interferometer

Cited by in corpus (45)

• The Murchison Widefield Array: the Square Kilometre Array Precursor at low radio frequencies
• High Resolution Observations of the CMB Power Spectrum with ACBAR
• 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
• Extended Mosaic Observations with the Cosmic Background Imager
• The Anisotropy of the Microwave Background to l = 3500: Mosaic Observations with the Cosmic Background Imager
• Data Analysis for Precision 21 cm Cosmology
• Polarization Observations with the Cosmic Background Imager
• Cosmological Parameters from Cosmic Background Imager Observations and Comparisons with BOOMERANG, DASI, and MAXIMA
• All-Sky Interferometry with Spherical Harmonic Transit Telescopes
• The GMRT-EoR Experiment: A new upper limit on the neutral hydrogen power spectrum at z~8.6
• Foregrounds for observations of the cosmological 21 cm line: I. First Westerbork measurements of Galactic emission at 150 MHz in a low latitude field
• Foreground Contamination in Interferometric Measurements of the Redshifted 21 cm Power Spectrum
• Coaxing Cosmic 21cm Fluctuations from the Polarized Sky using m-mode Analysis
• Implications of the Cosmic Background Imager Polarization Data
• Fast Holographic Deconvolution: a new technique for precision radio interferometry
• The GMRT EoR Experiment: Limits on Polarized Sky Brightness at 150 MHz
• The Sunyaev-Zeldovich effect in CMB-calibrated theories applied to the Cosmic Background Imager anisotropy power at l > 2000
• Understanding the Diversity of 21 cm Cosmology Analyses
• Visibility based angular power spectrum estimation in low frequency radio interferometric observations
• Joint Analysis of Cluster Observations: I. Mass Profile of Abell 478 from Combined X-ray, Sunyaev-Z'eldovich, and Weak Lensing Data
• Spherical Harmonic Analyses of Intensity Mapping Power Spectra
• Constraints on Fundamental Cosmological Parameters with Upcoming Redshifted 21 cm Observations
• The FHD/$\mathbf{\epsilon }$ppsilon Epoch of Reionization Power Spectrum Pipeline
• Mapping Incoherent Gravitational Wave Backgrounds
• A 31 GHz Survey of Low-Frequency Selected Radio Sources
• A High Reliability Survey of Discrete Epoch of Reionization Foreground Sources in the MWA EoR0 Field
• Extragalactic source contributions to arcminute-scale Cosmic Microwave Background anisotropies
• Probabilistic image reconstruction for radio interferometers
• Evidence for a Significant Blazar Contamination in CMB Anisotropy Maps
• Systematic Errors in Cosmic Microwave Background Interferometry
• Phase decoherence of gravitational wave backgrounds
• Measuring CMB Polarization with BOOMERANG
• Bayesian angular power spectrum analysis of interferometric data
• Limits on the Polarization of the Cosmic Microwave Background Radiation at Multipoles up to l~2000
• Mosaicking with cosmic microwave background interferometers
• CMB observations from the CBI and VSA: A comparison of coincident maps and parameter estimation methods
• The Cosmic Background Imager 2
• Towards Optimal Foreground Mitigation Strategies for Interferometric HI Intensity Mapping in the Low-Redshift Universe
• How accurately can suborbital experiments measure the CMB?
• Systematic Effects in Interferometric Observations of the CMB Polarization
• Maximum likelihood analysis of systematic errors in interferometric observations of the cosmic microwave background
• An efficient method for removing point sources from full-sky radio interferometric maps
• Fisher Matrix Optimization of Cosmic Microwave Background Interferometers
• Direction-Dependent Polarised Primary Beams in Wide-Field Synthesis Imaging