تقرير
Formalism for power spectral density estimation for non-identical and correlated noise using the null channel in Einstein Telescope
| العنوان: | Formalism for power spectral density estimation for non-identical and correlated noise using the null channel in Einstein Telescope |
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| المؤلفون: | Janssens, Kamiel, Boileau, Guillaume, Bizouard, Marie-Anne, Christensen, Nelson, Regimbau, Tania, van Remortel, Nick |
| المصدر: | Eur. Phys. J. Plus 138, 352 (2023) |
| سنة النشر: | 2022 |
| المجموعة: | General Relativity and Quantum Cosmology Physics (Other) |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, Physics - Data Analysis, Statistics and Probability |
| الوصف: | 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. Comment: The results have been updated (10/10/2022). Please refer to this new version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1140/epjp/s13360-023-03948-9 |
| URL الوصول: | http://arxiv.org/abs/2205.00416 |
| رقم الأكسشن: | edsarx.2205.00416 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1140/epjp/s13360-023-03948-9 |
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