Formalism for power spectral density estimation for non-identical and correlated noise using the null channel in Einstein Telescope
arXiv:2205.00416 · doi:10.1140/epjp/s13360-023-03948-9
Abstract
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 results have been updated (10/10/2022). Please refer to this new version
References in corpus (16)
- Advanced Virgo: a 2nd generation interferometric gravitational wave detector
- Advanced LIGO
- Upper Limits on the Isotropic Gravitational-Wave Background from Advanced LIGO's and Advanced Virgo's Third Observing Run
- Parameter estimation with gravitational waves
- Gravitational-wave confusion background from cosmological compact binaries: Implications for future terrestrial detectors
- Correlated noise in networks of gravitational-wave detectors: subtraction and mitigation
- Spectral separation of the stochastic gravitational-wave background for LISA: observing both cosmological and astrophysical backgrounds
- Spectral separation of the stochastic gravitational-wave background for LISA in the context of a modulated Galactic foreground
- Ability of LISA to detect a gravitational-wave background of cosmological origin: the cosmic string case
- Impact of Schumann resonances on the Einstein Telescope and projections for the magnetic coupling function
- A statistical inference approach to time-delay interferometry for gravitational-wave detection
- Utilizing the null stream of the Einstein Telescope
- Geometrical Expression of the Angular Resolution of a Network of Gravitational-Wave Detectors and Improved Localization Methods
- Signal Space in the Triangular Network of Einstein Telescope
- Sensitivity of third-generation interferometers to extra polarizations in the Stochastic Gravitational Wave Background
- Figures of merit for a stochastic gravitational-wave background measurement by LISA: implications of LISA Pathfinder noise correlations
Cited by in corpus (7)
- Science with the Einstein Telescope: a comparison of different designs
- The Science of the Einstein Telescope
- Prospects for LISA to detect a gravitational-wave background from first order phase transitions
- Improving the detection sensitivity to primordial stochastic gravitational waves with reduced astrophysical foregrounds
- Likelihood for a Network of Gravitational-Wave Detectors with Correlated Noise
- Next-generation global gravitational-wave detector network: Impact of detector orientation on compact binary coalescence and stochastic gravitational-wave background searches
- Beyond the Long Wavelength Approximation: Next-generation Gravitational-Wave Detectors and Frequency-dependent Antenna Patterns