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Roughly every 2-10 minutes, a pair of stellar mass black holes merge somewhere in the Universe. A small fraction of these mergers are detected as individually resolvable gravitational-wave events by advanced detectors such as LIGO and…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Rory Smith , Eric Thrane

The direct detection of gravitational waves is a major goal of current astrophysics. We provide details of a new method for detecting a stochastic background of gravitational waves using pulsar timing data. Our results show that regular…

Astrophysics · Physics 2009-11-11 Fredrick A. Jenet , George B. Hobbs , K. J. Lee , Richard N. Manchester

The detection of a stochastic background of gravitational waves could significantly impact our understanding of the physical processes that shaped the early Universe. The challenge lies in separating the cosmological signal from other…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Matthew R. Adams , Neil J. Cornish

This article derives an optimal (i.e., unbiased, minimum variance) estimator for the pseudo-detector strain for a pair of co-located gravitational wave interferometers (such as the pair of LIGO interferometers at its Hanford Observatory),…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Lazzarini , S. Bose , P. Fritschel , M. McHugh , T. Regimbau , K. Reilly , J. D. Romano , J. T. Whelan , S. Whitcomb , B. F. Whiting

Precision timing of highly stable milli-second pulsars is a promising technique for the detection of very low frequency sources of gravitational waves. In any single pulsar, a stochastic gravitational wave signal appears as an additional…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Neil J. Cornish , Laura M. Sampson

We propose a data processing technique that allows searches for a stochastic background of gravitational radiation with data from a single detector. Our technique exploits the difference between the coherence time of the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2012-05-22 Massimo Tinto , J. W. Armstrong

A likely source of a gravitational-wave background (GWB) in the frequency band of the Advanced LIGO, Virgo and KAGRA detectors is the superposition of signals from the population of unresolvable stellar-mass binary-black-hole (BBH) mergers…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Jessica Lawrence , Kevin Turbang , Andrew Matas , Arianna I. Renzini , Nick van Remortel , Joseph D. Romano

The use of a high precision pulsar timing array is a promising approach to detecting gravitational waves in the very low frequency regime ($10^{-6} -10^{-9}$ Hz) that is complementary to the ground-based efforts (e.g., LIGO, Virgo) at high…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Yan Wang , Soumya D. Mohanty , Fredrick A. Jenet

The random superposition of many weak sources will produce a stochastic background of gravitational waves that may dominate the response of the LISA (Laser Interferometer Space Antenna) gravitational wave observatory. Unless something can…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Neil J. Cornish

We describe new methods for denoising and detection of gravitational waves embedded in additive Gaussian noise. The methods are based on Total Variation denoising algorithms. These algorithms, which do not need any a priori information…

General Relativity and Quantum Cosmology · Physics 2016-08-10 Alejandro Torres , Antonio Marquina , José A. Font , José M. Ibáñez

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

The ability to directly detect gravitational waves has enabled us to empirically probe the nature of ultra-compact relativistic objects. Several alternatives to the black holes of classical general relativity have been proposed which do not…

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

We propose a coherent method for the detection and reconstruction of gravitational wave signals for a network of interferometric detectors. The method is derived using the likelihood functional for unknown signal waveforms. In the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Klimenko , S. Mohanty , M. Rakhmanov , G. Mitselmakher , .

The stochastic background of gravitational wave signals arising from the core-collapse supernovae is produced through various complex mechanisms that need detailed and careful investigation. We proposed a simplified multi-peak waveform of…

General Relativity and Quantum Cosmology · Physics 2024-09-27 Sourav Roy Chowdhury , Maxim Khlopov

In the era of the next generation of gravitational wave experiments a stochastic background from cusps of cosmic (super)strings is expected to be probed and, if not detected, to be significantly constrained. A popcorn-like background can…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Tania Regimbau , Stefanos Giampanis , Xavier Siemens , Vuk Mandic

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

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

Identifying the presence of a gravitational wave transient buried in non-stationary, non-Gaussian noise which can often contain spurious noise transients (glitches) is a very challenging task. For a given data set, transient gravitational…

General Relativity and Quantum Cosmology · Physics 2020-11-18 V. Gayathri , Dixeena Lopez , R. S. Pranjal , Ik Siong Heng , Archana Pai , Chris Messenger

We revisit the problem of searching for gravitational waves from inspiralling compact binaries in Gaussian coloured noise. For binaries with quasicircular orbits and non-precessing component spins, considering dominant mode emission only,…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Thomas Dent , John Veitch