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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

Machine learning has emerged as a popular and powerful approach for solving problems in astrophysics. We review applications of machine learning techniques for the analysis of ground-based gravitational-wave detector data. Examples include…

In this paper, we review the theoretical basis for generation of gravitational waves and the detection techniques used to detect a gravitational wave. To materialize this goal in a thorough way we first start with a mathematical background…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Saibal Ray , R. Bhattacharya , Sanjay K. Sahay , Abdul Aziz , Amit Das

Pulsar timing experiments are reaching sufficient sensitivity to detect a postulated stochastic gravitational wave background generated by merging supermassive black hole systems in the cores of galaxies. We describe the techniques behind…

Astrophysics · Physics 2009-06-23 G. Hobbs

The quest to observe gravitational waves challenges our ability to discriminate signals from detector noise. This issue is especially relevant for transient gravitational waves searches with a robust eyes wide open approach, the so called…

Instrumentation and Methods for Astrophysics · Physics 2017-04-19 S. Vinciguerra , M. Drago , G. A. Prodi , S. Klimenko , C. Lazzaro , V. Necula , F. Salemi , V. Tiwari , M. C. Tringali , G. Vedovato

This paper provides a comprehensive guide to gravitational wave data processing, with a particular focus on signal generation, noise modeling, and optimization techniques. Beginning with an introduction to gravitational waves and the…

Instrumentation and Methods for Astrophysics · Physics 2024-10-17 Jingxu Wu , YuWei Yin , Chenjia Li , Yan Wang

The discovery of gravitational waves, which are ripples of space-time itself, opened a new window to test general relativity, because it predicts that there are only plus and cross polarizations for gravitational waves. For alternative…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Chunyu Zhang , Qing Gao , Yungui Gong , Bin Wang , Alan J. Weinstein , Chao Zhang

Estimating the parameters of gravitational wave signals detected by ground-based detectors requires an understanding of the properties of the detectors' noise. In particular, the most commonly used likelihood function for gravitational wave…

Continuous gravitational wave signals, like those expected by asymmetric spinning neutron stars, are among the most promising targets for LIGO and Virgo detectors. The development of fast and robust data analysis methods is crucial to…

General Relativity and Quantum Cosmology · Physics 2018-11-13 O. J. Piccinni , S. Frasca , P. Astone , S. D'Antonio , G. Intini , P. Leaci , S. Mastrogiovanni , A. Miller , C. Palomba , A. Singhal

The discovery of gravitational waves (GWs) from merging compact binaries has transformed modern astrophysics, driving innovation in detection methodologies. Whereas matched-filtering techniques have long been the standard, the growing…

General Relativity and Quantum Cosmology · Physics 2025-09-08 Alexandra E. Koloniari , Lazaros Lazaridis , Christos Paschalidis , Nikolaos Stergioulas

The number of astrophysical sources detected by Advanced LIGO and Virgo is expected to increase as the detectors approach their design sensitivity. Gravitational wave detectors are also sensitive to transient noise sources created by the…

Instrumentation and Methods for Astrophysics · Physics 2018-07-25 Jade Powell

The detection of gravitational waves by the LIGO-Virgo-KAGRA collaboration has ushered in a new era of observational astronomy, emphasizing the need for rapid and detailed parameter estimation and population-level analyses. Traditional…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Bo Liang , He Wang

Searches for known waveforms in gravitational wave detector data are often done using matched filtering. When used on real instrumental data, matched filtering often does not perform as well as might be expected, because non-stationary and…

General Relativity and Quantum Cosmology · Physics 2011-07-18 Bruce Allen

It is difficult to choose detection thresholds for tests of non-stationarity that assume {\em a priori} a noise model if the data is statistically uncharacterized to begin with. This is a potentially serious problem when an automated…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Soumya D. Mohanty

Uncertainty in the calibration of gravitational-wave (GW) detector data leads to systematic errors which must be accounted for in setting limits on the strength of GW signals. When cross-correlation measurements are made using data from a…

General Relativity and Quantum Cosmology · Physics 2014-03-07 John T. Whelan , Emma L. Robinson , Joseph D. Romano , Eric H. Thrane

The LIGO Scientific Collaboration and Virgo Collaboration have carried out joint searches in LIGO and Virgo data for periodic continuous gravitational waves. These analyses range from targeted searches for gravitational-wave signals from…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Keith Riles

Searches for gravitational wave signals which do not have a precise model describing the shape of their waveforms are often performed using power detectors based on a quadratic form of the data. A new, optimal method of generalizing these…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Julien Sylvestre

The phenomenon of Gravitational Wave (GW) analysis has grown in popularity as technology has advanced and the process of observing gravitational waves has become more precise. Although the sensitivity and the frequency of observation of GW…

Machine Learning · Computer Science 2023-11-07 Elena-Simona Apostol , Ciprian-Octavian Truică

We describe the North American Nanohertz Observatory for Gravitational Waves (NANOGrav) and its efforts to directly detect and study gravitational waves and other synergistic physics and astrophysics using radio timing observations of…

Analyzing the records of Advanced LIGO and Virgo gravitational observatories, we found a permanent time-domain asymmetry inherent only to the signals of their gravitational detectors. Experiments with different periodic signals, Gaussian…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Alexander V. Kramarenko , Andrey V. Kramarenko