https://doi.org/10.1140/epjp/s13360-023-03948-9
Regular Article
Formalism for power spectral density estimation for non-identical and correlated noise using the null channel in Einstein Telescope
1
Universiteit Antwerpen, Prinsstraat 13, 2000, Antwerpen, Belgium
2
Université Côte d’Azur, Observatoire Côte d’Azur, CNRS, Artemis, 06304, Nice, France
3
Univ. Savoie Mont Blanc, CNRS, Laboratoire d’Annecy de Physique des Particules - IN2P3, F-74000, Annecy, France
Received:
17
March
2023
Accepted:
27
March
2023
Published online:
24
April
2023
Several proposed gravitational wave interferometers have a triangular configuration, such as the Einstein Telescope and the Laser Interferometer Space Antenna. For such a configuration one can construct a unique null channel insensitive to gravitational waves from all directions. We expand on earlier work and describe how to use the null channel formalism to estimate the power spectral density for the Einstein Telescope interferometers with non-identical as well as correlated noise sources. The formalism is illustrated with two examples in the context of the Einstein Telescope, with increasing degrees of complexity and realism. By using known mixtures of noises we show the formalism is mathematically correct and internally consistent. Finally we highlight future research needed to use this formalism as an ingredient for a Bayesian estimation framework.
The original online version of this article was revised to correct affiliation 3 to Univ. Savoie Mont Blanc, CNRS, Laboratoire d’Annecy de Physique des Particules - IN2P3, F-74000 Annecy, France.
A correction to this article is available online at https://doi.org/10.1140/epjp/s13360-023-04072-4.
Copyright comment corrected publication 2023
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. corrected publication 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
