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Radio Interferometric Calibration Using a Riemannian Manifold

Authors
  • Yatawatta, Sarod
Type
Preprint
Publication Date
Mar 05, 2013
Submission Date
Mar 05, 2013
Identifiers
arXiv ID: 1303.1029
Source
arXiv
License
Yellow
External links

Abstract

In order to cope with the increased data volumes generated by modern radio interferometers such as LOFAR (Low Frequency Array) or SKA (Square Kilometre Array), fast and efficient calibration algorithms are essential. Traditional radio interferometric calibration is performed using nonlinear optimization techniques such as the Levenberg-Marquardt algorithm in Euclidean space. In this paper, we reformulate radio interferometric calibration as a nonlinear optimization problem on a Riemannian manifold. The reformulated calibration problem is solved using the Riemannian trust-region method. We show that calibration on a Riemannian manifold has faster convergence with reduced computational cost compared to conventional calibration in Euclidean space.

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