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A METHOD TO EXTRACT THE ANGULAR POWER SPECTRUM OF THE EPOCH OF REIONIZATION FROM LOW-FREQUENCY RADIO INTERFEROMETERS

2012/09/24 by Qian Zheng, Q. Zheng, Xiang-ping Wu +5 · 6 citations
Engineering · Physics and Astronomy · #Amplitude #Astronomical interferometer #Astrophysics #Astrophysics and Cosmic Phenomena #Computer science #Galaxy #Interferometry #LOFAR #Optics #Physics #Radio Astronomy Observations and Technology #Radio Wave Propagation Studies #Radio telescope #Redshift #Reionization #Spectral density #Telecommunications #Visibility #astro-ph.CO #astro-ph.IM

paper · pdf · doi:10.1088/2041-8205/758/1/l24

published in The Astrophysical Journal Letters 758(1), L24 (IOP Publishing) · 12 pages, 3 figures. Minor corrections [an error in eq.(3) is fixed] and references added, conclusions remain unchanged. Accepted for publication in ApJL

arxiv created 2012/09/24 · openalex publication_date 2012/09/26 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The redshifted 21 cm signal of neutral hydrogen from the epoch of reionization (EoR) is extremely weak and its first detection is therefore expected to be statistical with first-generation low-frequency radio interferometers. In this Letter, we propose a method to extract the angular power spectrum of the EoR from the visibility correlation coefficients p ij ( u , v ), instead of the visibilities V ij ( u , v ) measured directly by radio interferometers in conventional algorithm. The visibility correlation coefficients are defined as by introducing the autocorrelation terms V ii and V jj such that the angular power spectrum C ℓ can be obtained through C ℓ = T 2 0 〈| p ij ( u , v )| 2 〉, independently of the primary beams of antennas. This also partially removes the influence of receiver gains in the measurement of C ℓ because the amplitudes of the gains cancel each other out in the statistical average operation of 〈| p ij ( u , v )| 2 〉. We use the average system temperature T 0 as a calibrator of C ℓ , which is dominated by the Milky Way and extragalactic sources in the frequency range that we are interested in, below 200 MHz. Finally, we demonstrate the feasibility of this novel method using the simulated sky maps as targets and the 21 CentiMeter Array (21CMA) as interferometer.

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