Efficient Calibration of Radio Interferometers Using Block LDU Decomposition

Ahmad Mouri Sardarabadi, Alle-Jan van der Veen, Leon V.E. Koopmans

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Having an accurate calibration method is crucial for any scientific research done by a radio telescope. The next generation radio telescopes such as the Square Kilometre Array (SKA) will have a large number of receivers which will produce exabytes of data per day. In this paper we propose new direction-dependent and independent calibration algorithms that, while requiring much less storage during calibration, converge very fast. The calibration problem can be formulated as a non-linear least square optimization problem. We show that combining a block-LDU decomposition with Gauss-Newton iterations produces systems of equations with convergent matrices. This allows significant reduction in complexity per iteration and very fast converging algorithms. We also discuss extensions to direction-dependent calibration. The proposed algorithms are evaluated using simulations.

Original languageEnglish
Title of host publication2018 26th European Signal Processing Conference (EUSIPCO)
Number of pages5
ISBN (Electronic)978-9-0827-9701-5
ISBN (Print)978-1-5386-3736-4
Publication statusPublished - 2018
EventEUSIPCO 2018: 26th European Signal Processing Conference - Rome, Italy
Duration: 3 Sep 20187 Sep 2018
Conference number: 26


ConferenceEUSIPCO 2018

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • Calibration
  • Covariance Matching
  • Non-Linear Optimization
  • Radio Astronomy


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