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Efforts to detect gravitational waves by timing an array of pulsars have focused traditionally on stationary gravitational waves: e.g., stochastic or periodic signals. Gravitational wave bursts --- signals whose duration is much shorter…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 Lee Samuel Finn , Andrea N. Lommen

Several earth-based gravitational-wave (GW) detectors are actively pursuing the quest for placing observational constraints on models that predict the behavior of a variety of astrophysical and cosmological sources. These sources span a…

Astrophysics · Physics 2009-11-10 Sukanta Bose

In this paper we design and develop several filtering strategies for the analysis of data generated by a resonant bar Gravitational Wave (GW) antenna, with the goal to assess the presence (or absence) in them of long duration monochromatic…

General Relativity and Quantum Cosmology · Physics 2011-05-23 J Alberto Lobo , Miquel Montero

We discuss a fast cross-Wigner transform based technique for detecting gravitational wave bursts, and estimating the direction of arrival, using a network of (three) non co-located interferometric detectors. The performances of the detector…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Rocco P. Croce , Vincenzo Pierro , Fabio Postiglione , Maria Principe , Innocenzo M. Pinto

Separating a stochastic gravitational wave background (SGWB) from noise is a challenging statistical task. One approach to establishing a detection criterion for the SGWB is using Bayesian evidence. If the evidence ratio (Bayes factor)…

Instrumentation and Methods for Astrophysics · Physics 2025-09-17 Federico Pozzoli , Jonathan Gair , Riccardo Buscicchio , Lorenzo Speri

The measurement of the speed of gravitational waves (GWs) is useful to distinguish general relativity from massive gravity. We propose a new model-independent strategy to measure the speed of GWs with the distorted pulsars. Theoretically,…

High Energy Astrophysical Phenomena · Physics 2019-05-07 Shuang Du , Fang-Kun Peng , Miao Li

Direct detection of gravitational waves by pulsar timing arrays will become feasible over the next few years. In the low frequency regime ($10^{-7}$ Hz -- $10^{-9}$ Hz), we expect that a superposition of gravitational waves from many…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Justin Ellis , Xavier Siemens , Rutger van Haasteren

Joint ranking statistics are used to distinguish real from random coincidences, ideally considering whether shared parameters are consistent with each other as well as whether the individual candidates are distinguishable from noise. We…

Instrumentation and Methods for Astrophysics · Physics 2022-04-13 Brandon Piotrzkowski , Amanda Baylor , Ignacio Magaña Hernandez

Gravitational-wave data from advanced-era interferometric detectors consists of background Gaussian noise, frequent transient artefacts, and rare astrophysical signals. Multiple search algorithms exist to detect the signals from compact…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Gregory Ashton , Ann-Kristin Malz , Nicolo Colombo

The direct detection of gravitational waves by the LIGO-Virgo collaboration has opened a new window with which to measure cosmological parameters such as the Hubble constant $H_0$, and also probe general relativity on large scales. In this…

General Relativity and Quantum Cosmology · Physics 2020-08-14 S. Mastrogiovanni , D. Steer , M. Barsuglia

Gravitational-wave (GW) observatories have used template-based search to detect hundreds of compact binary coalescences (CBCs). However, template-based search cannot detect astrophysical sources that lack accurate waveform models, including…

Instrumentation and Methods for Astrophysics · Physics 2026-05-01 Daniel Ratner

Bayesian inference is the workhorse of gravitational-wave astronomy, for example, determining the mass and spins of merging black holes, revealing the neutron star equation of state, and unveiling the population properties of compact…

Instrumentation and Methods for Astrophysics · Physics 2019-09-04 Colm Talbot , Rory Smith , Eric Thrane , Gregory B. Poole

These lecture notes provide a brief introduction to methods used to search for a stochastic background of gravitational radiation -- a superposition of gravitational-wave signals that are either too weak or too numerous to individually…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Joseph D. Romano

The fourth science run of the LIGO and GEO 600 gravitational-wave detectors, carried out in early 2005, collected data with significantly lower noise than previous science runs. We report on a search for short-duration gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2012-08-27 LIGO Scientific Collaboration

In light of the newly opened and rapidly growing gravitational waves window in multi-messenger astronomy, in order to fully take advantage of the new opportunities we are provided with, new ideas are required for a better and deeper employ…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-06 Paolo Cremonese , Vincenzo Salzano

Probing the relative speeds of gravitational waves and light acts as an important test of General Relativity and alternative theories of gravity. Measuring the arrival time of gravitational waves and electromagnetic counterparts can be used…

High Energy Astrophysical Phenomena · Physics 2017-03-08 Thomas E. Collett , David Bacon

This article deals with the gravitational lensing (GL) of gravitational waves (GW). We compute the increase in the number of detected GW events due to GL. First, we check that geometrical optics is valid for the GW frequency range on which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Arnaud-Varvella , M. -C. Angonin , Ph. Tourrenc

In the third-generation (3G) gravitational-wave (GW) detector era, the multi-messenger GW observation for binary neutron star (BNS) merger events can exert great impacts on exploring the cosmic expansion history. In this work, we…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-10 Tao Han , Shang-Jie Jin , Jing-Fei Zhang , Xin Zhang

Stochastic gravitational waves (SGW) can be detected by measuring a cross-correlation of two or more gravitational wave (GW) detectors. In this paper we describe an optimal SGW search technique in the wavelet domain. It uses a sign…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Klimenko , G. Mitselmakher , A. Sazonov

In counting experiments, one can set an upper limit on the rate of a Poisson process based on a count of the number of events observed due to the process. In some experiments, one makes several counts of the number of events, using…

Data Analysis, Statistics and Probability · Physics 2014-11-20 Patrick J. Sutton