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The identification of electromagnetic emission from gravitational-wave sources typically requires multiple follow-up observations due to the limited fields-of-view of follow-up observatories compared to the poorly localized direction of…

Instrumentation and Methods for Astrophysics · Physics 2020-07-01 Nihar Gupte , Imre Bartos

Central to the gravitational wave detection problem is the challenge of separating features in the data produced by astrophysical sources from features produced by the detector. Matched filtering provides an optimal solution for Gaussian…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Tyson B. Littenberg , Neil J. Cornish

Data from a network of gravitational wave detectors can be analyzed in coincidence to increase detection confidence and reduce non-stationarity of the background. We propose and explore a geometric algorithm to combine the data from a…

General Relativity and Quantum Cosmology · Physics 2009-02-20 C. A. K. Robinson , B. S. Sathyaprakash , Anand S. Sengupta

When a gravitational wave encounters a massive object along the line of sight, repeated copies of the original signal may be produced due to gravitational lensing. In this paper, we develop a series of new machine-learning based statistical…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Giulia Campailla , Marco Raveri , Wayne Hu , Jose María Ezquiaga

Gravitational wave detectors now under construction are sensitive to the phase of the incident gravitational waves. Correspondingly, the signals from the different detectors can be combined, in the analysis, to simulate a single detector of…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Lee Samuel Finn

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

Gravitational waves from coalescing compact binaries are one of the most promising sources for detectors such as LIGO, Virgo and GEO600. If the components of the binary posess significant angular momentum (spin), as is likely to be the case…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Chris Van Den Broeck , Duncan A. Brown , Thomas Cokelaer , Ian Harry , Gareth Jones , B. S. Sathyaprakash , Hideyuki Tagoshi , Hirotaka Takahashi

The maximum likelihood method is often used for parameter estimation in gravitational wave astronomy. Recently, an interesting approach was proposed by Vallisneri to evaluate the distributions of parameter estimation errors expected for the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Naoki Seto , Koutarou Kyutoku

Templates used in a search for binary black holes and neutron stars in gravitational wave interferometer data will have to be computed on-line since the computational storage and retrieval costs for the template bank are too expensive. The…

General Relativity and Quantum Cosmology · Physics 2010-04-06 B. S. Sathyaprakash

A typical approach to developing an analysis algorithm for analyzing gravitational wave data is to assume a particular waveform and use its characteristics to formulate a detection criteria. Once a detection has been made, the algorithm…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Louis J. Rubbo

Posterior distributions on parameters computed from experimental data using Bayesian techniques are only as accurate as the models used to construct them. In many applications these models are incomplete, which both reduces the prospects of…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Christopher J. Moore , Jonathan R. Gair

Efficient searches for gravitational waves from compact binary coalescence are crucial for gravitational wave observations. We present a proof-of-concept for a method that utilizes a neural network taking an SNR map, a stack of SNR time…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Takahiro S. Yamamoto , Kipp Cannon , Hayato Motohashi , Hiroaki W. H. Tahara

We introduce an algorithm to marginalize the likelihood for a gravitational wave signal from a quasi-circular binary merger over its extrinsic parameters, accounting for the effects of higher harmonics and spin-induced precession. The…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Javier Roulet , Jonathan Mushkin , Digvijay Wadekar , Tejaswi Venumadhav , Barak Zackay , Matias Zaldarriaga

Tremendous progress has been made towards the solution of the binary-black-hole problem in numerical relativity. The waveforms produced by numerical relativity will play a role in gravitational wave detection as either test-beds for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Birjoo Vaishnav , Ian Hinder , Frank Herrmann , Deirdre Shoemaker

In this this paper the stochastic background of gravitational waves (SBGWs) is analyzed with the auxilium of the WMAP data. We emphasize that, in general, in previous works in the literature about the SBGWs, old COBE data were used. After…

Astrophysics · Physics 2008-11-26 Christian Corda , Salvatore Capozziello , Mariafelicia De Laurentis

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

We estimate the number of templates, computational power, and storage required for a one-step matched filtering search for gravitational waves from inspiraling compact binaries. These estimates should serve as benchmarks for the evaluation…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Benjamin J. Owen , B. S. Sathyaprakash

We review the motivations for the search of stochastic backgrounds of gravitational waves and we compare the experimental sensitivities that can be reached in the near future with the existing bounds and with the theoretical predictions.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michele Maggiore

A typical problem in the detection of the gravitational waves in the data of gravitational antennas is the non-stationarity of the Gaussian noise (and so the varying sensitivity) and the presence of big impulsive disturbances. In such…

General Relativity and Quantum Cosmology · Physics 2009-05-18 Sergio Frasca , Pia Astone

We describe a new method for extracting gravitational wave signals from pulsar timing data. We show that any gravitational wave signal can be decomposed into an orthogonal set of sky maps, with the number of maps equal to the number of…

General Relativity and Quantum Cosmology · Physics 2014-06-20 Neil J. Cornish , Rutger van Haasteren