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Precision calibration of radio interferometers using redundant baselines

2010/01/31 by Adrian Liu, Max Tegmark, Scott Morrison +3 · 5 citations
Engineering · Environmental Science · Physics and Astronomy · #Antenna Design and Optimization #Astronomical interferometer #Astrophysics #Broadband #Calibration #Computer science #Coplanarity #Interferometry #Optics #Physics #Radio Astronomy Observations and Technology #Redundancy (engineering) #Remote sensing #Sky #Soil Moisture and Remote Sensing #astro-ph.CO #astro-ph.IM

paper · pdf · doi:10.1111/j.1365-2966.2010.17174.x

published as Mon. Not. R. Astron. Soc. Volume 408, Issue 2, pages 1029-1050, Oct. 2010 · 18 pages, 13 figures; Replaced to match accepted MNRAS version

arxiv created 2010/07/06 · openalex publication_date 2010/07/21 · arxiv updated 2010/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Growing interest in 21-cm tomography has led to the design and construction of broad-band radio interferometers with low noise, moderate angular resolution, high spectral resolution and wide fields of view. With characteristics somewhat different from traditional radio instruments, these interferometers may require new calibration techniques in order to reach their design sensitivities. Self-calibration or redundant calibration techniques that allow an instrument to be calibrated off complicated sky emission structures are ideal. In particular, the large number of redundant baselines possessed by these new instruments makes redundant calibration an especially attractive option. In this paper, we explore the errors and biases in existing redundant calibration schemes through simulations, and show how statistical biases can be eliminated. We also develop a general calibration formalism that includes both redundant baseline methods and basic point source calibration methods as special cases, and show how slight deviations from perfect redundancy and coplanarity can be taken into account.

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