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Radio Interferometric Calibration with the Exponential Map — arXiv:2610.01895

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.01895
License (as archived): CC0-1.0
Archived: 2026-10-07T12:11:08.881Z
SHA-256 of the archived text: eb3025fc7c53997b287b78a91b605705b59a4f0b0e81cf9aa301752ca4f431ab
Stable URL of this page: https://metraipolis.com/documento/dc_dffffb98153d

How to cite

Radio Interferometric Calibration with the Exponential Map — arXiv:2610.01895 — arXiv (en), https://arxiv.org/abs/2610.01895 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_dffffb98153d (Metraipolis archive dc_dffffb98153d, sha256 eb3025fc7c53997b287b78a91b605705b59a4f0b0e81cf9aa301752ca4f431ab)

BibTeX

@misc{dcdffffb98153d,
  title = {Radio Interferometric Calibration with the Exponential Map — arXiv:2610.01895},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.01895},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_dffffb98153d; sha256 eb3025fc7c53997b287b78a91b605705b59a4f0b0e81cf9aa301752ca4f431ab},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.01895. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The antenna-elements that make up a radio interferometer form a spatial filter that samples components of the Fourier transform of a target radio astronomical source brightness. Along the signal path, there are multiplicative and additive perturbation effects that alter the signal and that should be corrected. The process of mitigating these perturbation effects is called calibration. In this work, we develop a new and fast Maximum Likelihood based estimator of these perturbation effects using the Exponential Map and Lie groups. To evaluate its performance, we compare it to the Cramér-Rao Lower Bound and, to test the estimation time, we compare it with the Expectation Maximization algorithm, another fast Maximum Likelihood estimator. Finally, we apply our estimator to a real observation of the protoplanetary disk AS 209 made with the Submillimeter Array. We found that our proposed estimator meets the Cramér-Rao Lower Bound and it was approximately 40 times faster than the Expectation Maximization algorithm.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-10-02 in astro-ph.IM).
Categorie arXiv: Instrumentation and Methods for Astrophysics (astro-ph.IM) ; Signal Processing (eess.SP).
Pagina del lavoro: https://arxiv.org/abs/2610.01895 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-07T11:43:05.166Z dalla pagina https://arxiv.org/catchup/astro-ph.IM/2026-10-02?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).