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Direct detection of gravitational waves (GWs) from compact binary systems suggests that the merger rate of such events is large, and the sum of their GWs can be viewed as stochastic signals. Because of its random nature, cross-correlating…

Instrumentation and Methods for Astrophysics · Physics 2019-10-30 Yoshiaki Himemoto , Atsushi Taruya

Detecting a stationary, stochastic gravitational wave signal is complicated by impossibility of observing the detector noise independently of the signal. One consequence is that we require at least two detectors to observe the signal, which…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Lee Samuel Finn , Albert Lazzarini

Crosscorrelation of the outputs of two Gravitational Wave (GW) detectors has recently been proposed [1] as a method for detecting statistical association between GWs and Gamma Ray Bursts (GRBs). Unfortunately, the method can be effectively…

Astrophysics · Physics 2009-11-07 G. Modestino , A. Moleti

The stochastic gravitational wave background produced by supernovas, magnetars and merger of binaries constituted by a pair of compact objects is reviewed and updated. The merger of systems composed by two black holes dominates by far the…

High Energy Astrophysical Phenomena · Physics 2020-01-28 José Antonio de Freitas Pacheco

Based on the relationship between proper distance and coordinate distance, the geometrical phenomenon caused by the passing gravitational waves can not be observed locally. The electromagnetic wave equations in the background gravitational…

General Relativity and Quantum Cosmology · Physics 2018-11-13 Wenyu Wang , Yang Xu

Detecting a stochastic gravitational wave background requires that we first understand and model any astrophysical foregrounds. In the millihertz frequency band, the predominate foreground signal will be from unresolved white dwarf binaries…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Matthew R. Adams , Neil J. Cornish

The gravitational wave radiation emitted by all, resolved and unresolved, astrophysical sources in the observable universe generates a stochastic background. This background has a directional dependence inherited from the inhomogeneities of…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-27 Giulia Cusin , Cyril Pitrou , Jean-Philippe Uzan

Many analyses of microwave background experiments neglect the correlation of noise in different frequency or polarization channels. We show that these correlations, should they be present, can lead to severe misinterpretation of an…

Astrophysics · Physics 2009-10-22 Scott Dodelson , Arthur Kosowsky , Steven T. Myers

Correlated noise could impact the search for the gravitational wave background at future Earth-based gravitational-wave detectors. Due to the small distance ($\sim$ 400 m) between the different interferometers of the Einstein Telescope,…

Instrumentation and Methods for Astrophysics · Physics 2022-08-29 Kamiel Janssens , Guillaume Boileau , Nelson Christensen , Francesca Badaracco , Nick van Remortel

Future searches for a gravitational-wave background using Earth-based gravitational-wave detectors might be impacted by correlated noise sources. A well known example are the Schumann resonances, which are extensively studied in the context…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Kamiel Janssens , Thomas A. Callister , Nelson Christensen , Michael W. Coughlin , Ioannis Michaloliakos , Jishnu Suresh , Nick van Remortel

The analysis of how a stochastic background of gravitational radiation interacts with a spherical detector is given in detail, which leads to explicit expressions for the system response functions, as well as for the cross-correlation…

General Relativity and Quantum Cosmology · Physics 2022-05-04 J. Alberto Lobo , Alvaro Montero

Circularly polarized gravitational wave backgrounds are predicted in many well-motivated models of inflation and phase transitions involving spontaneous parity violation. In this work, we investigate the detection of such parity-violating…

General Relativity and Quantum Cosmology · Physics 2025-05-23 Ju Chen , Chang Liu , Yun-Long Zhang

Armstrong et al. have recently presented new ways of combining signals to precisely cancel laser frequency noise in spaceborne interferometric gravitational wave detectors such as LISA. One of these combinations, the symmetrized Sagnac…

Astrophysics · Physics 2014-10-13 Craig J. Hogan , Peter L. Bender

Building upon the statistical formulation for parameter estimation (PE) in the presence of correlated noise proposed by Cireddu et al., we present the initial study to incorporate the effects of correlated noise into the analyses of various…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Isaac C. F. Wong , Peter T. H. Pang , Milan Wils , Francesco Cireddu , Walter Del Pozzo , Tjonnie G. F. Li

The Einstein Telescope faces a critical data analysis challenge with correlated noise, often overlooked in current parameter estimation analyses. We address this issue by presenting the statistical formulation of the likelihood that…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Francesco Cireddu , Milan Wils , Isaac C. F. Wong , Peter T. H. Pang , Tjonnie G. F. Li , Walter Del Pozzo

We discuss prospects for direct measurement of stochastic gravitational wave background around 0.1-1Hz with future space missions. It is assumed to use correlation analysis technique with the optimal TDI variables for two sets of LISA-type…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Naoki Seto

The observed microwave background anisotropies in combination with the theory of quantum mechanically generated cosmological perturbations predict a well measurable amount of relic gravitational waves in the frequency intervals tested by…

General Relativity and Quantum Cosmology · Physics 2009-10-28 L. P. Grishchuk

We propose a graphical representation of detector sensitivity curves for stochastic gravitational-wave backgrounds that takes into account the increase in sensitivity that comes from integrating over frequency in addition to integrating…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Eric Thrane , Joseph D Romano

Signal extraction out of background noise is a common challenge in high precision physics experiments, where the measurement output is often a continuous data stream. To improve the signal to noise ratio of the detection, witness sensors…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Gabriele Vajente , Yiwen Huang , Maximiliano Isi , Jenne C. Driggers , Jeffrey S. Kissel , Marek J. Szczepanczyk , Salvatore Vitale

Even the most sensitive cosmic microwave background anisotropy experiments have signal to noise ratios <=5, so that an accurate determination of the properties of the cosmological signal requires a careful assessment of the experimental…

Astrophysics · Physics 2009-10-30 C. M. Gutierrez