Precision calibration of radio interferometers using redundant baselines

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 interferome...

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Bibliographic Details
Main Authors: Liu, Adrian Chi-Yan, Tegmark, Max Erik, Morrison, Scott D., Lutomirski, Andrew Michael, Zaldarriaga, Matias, 1971-
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: Oxford University Press on behalf of The Royal Astronomical Society 2014
Online Access:http://hdl.handle.net/1721.1/88532
https://orcid.org/0000-0001-7670-7190
https://orcid.org/0000-0001-6876-0928
Description
Summary: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.