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We report for the first time general geometrical expressions for the angular resolution of an arbitrary network of interferometric gravitational-wave (GW) detectors when the arrival-time of a GW is unknown. We show explicitly elements that…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Linqing Wen , Yanbei Chen

We describe a novel approach to the detection and parameter estimation of a non\textendash Gaussian stochastic background of gravitational waves. The method is based on the determination of relevant statistical parameters using importance…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Riccardo Buscicchio , Anirban Ain , Matteo Ballelli , Giancarlo Cella , Barbara Patricelli

Gravitational-wave (GW) laser interferometers such as Advanced LIGO transduce spacetime strain into optical power fluctuation. Converting this optical power fluctuations back into an estimated spacetime strain requires a calibration process…

Instrumentation and Methods for Astrophysics · Physics 2019-11-26 Evan D. Hall , Craig Cahillane , Kiwamu Izumi , Rory J. E. Smith , Rana X Adhikari

This review provides a conceptual and technical survey of methods for parameter estimation of gravitational wave signals in ground-based interferometers such as LIGO and Virgo. We introduce the framework of Bayesian inference and provide an…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Javier Roulet , Tejaswi Venumadhav

We present a study of spectrum estimation of relic gravitational waves (RGWs) as a Gaussian stochastic background from output signals of future space-borne interferometers, like LISA and ASTROD. As the target of detection, the analytical…

General Relativity and Quantum Cosmology · Physics 2019-03-05 Bo Wang , Yang Zhang

We describe a novel, very fast and robust, directed search incoherent method for periodic gravitational waves (GWs) from neutron stars in binary systems. As directed search, we assume the source sky position to be known with enough…

Instrumentation and Methods for Astrophysics · Physics 2017-06-07 Paola Leaci , Pia Astone , Sabrina D'Antonio , Sergio Frasca , Cristiano Palomba , Ornella Piccinni , Simone Mastrogiovanni

Gravitational-wave events are interpreted in terms of Bayesian posteriors for their source properties inferred under unphysical reference priors. Though these parameter estimates are important intermediate data products for downstream…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Matthew Mould , Rodrigo Tenorio , Davide Gerosa

The upcoming direct detection of gravitational waves will open a window to probing the strong-field regime of general relativity (GR). As a consequence, waveforms that include the presence of deviations from GR have been developed (e.g. in…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Salvatore Vitale , Walter Del Pozzo

With the growing number of gravitational-wave detections, particularly from binary black hole mergers, there is increasing anticipation that an astrophysical background, formed by an ensemble of faint, high-redshift events, will be observed…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Xiaolin Liu , Sachiko Kuroyanagi

We evaluate the potential for gravitational-wave (GW) detection in the frequency band from 10 nHz to 1 $\mu$Hz using extremely high-precision astrometry of a small number of stars. In particular, we argue that non-magnetic, photometrically…

Instrumentation and Methods for Astrophysics · Physics 2022-07-06 Michael A. Fedderke , Peter W. Graham , Bruce Macintosh , Surjeet Rajendran

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…

We present a first-stage study of the effect of using knowledge from electromagnetic (EM) observations in the gravitational wave (GW) data analysis of Galactic binaries that are predicted to be observed by the new Laser Interferometer Space…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Sweta Shah , Marc van der Sluys , Gijs Nelemans

We consider a search for the anisotropic stochastic gravitational-wave background (SGWB) that decomposes the sky map into its spherical harmonics components in order to obtain estimators of the angular power spectrum. Such a search often…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Erik Floden , Alex Granados , Vuk Mandic

The expansion and upgrade of the global network of ground-based gravitational wave detectors promises to improve our capacity to infer the sky-localization of transient sources, enabling more effective multi-messenger follow-ups. At the…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Mattia Emma , Tiago Fernandes de Nobrega , Gregory Ashton

As gravitational wave detectors improve in sensitivity, signal-to-noise ratios of compact binary coalescences will dramatically increase, reaching values in the hundreds and potentially thousands. Such strong signals offer both exciting…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Aasim Jan , Deborah Ferguson , Jacob Lange , Deirdre Shoemaker , Aaron Zimmerman

Within the next five years, it is expected that the Advanced LIGO/Virgo network will have reached a sensitivity sufficient to enable the routine detection of gravitational waves. Beyond the initial detection, the scientific promise of these…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Carl L Rodriguez , Benjamin Farr , Vivien Raymond , Will M Farr , Tyson Littenberg , Diego Fazi , Vicky Kalogera

We introduce the use of autoregressive normalizing flows for rapid likelihood-free inference of binary black hole system parameters from gravitational-wave data with deep neural networks. A normalizing flow is an invertible mapping on a…

Instrumentation and Methods for Astrophysics · Physics 2020-11-25 Stephen R. Green , Christine Simpson , Jonathan Gair

In order to identify the rapidly-fading, optical transient counterparts of gravitational wave (GW) sources, an efficient follow-up strategy is required. Since most ground-based optical observatories aimed at following-up GW sources have a…

Instrumentation and Methods for Astrophysics · Physics 2019-05-15 Javed Rana , Shreya Anand , Sukanta Bose

As gravitational-wave ringdown signals grow louder, quasinormal-mode inference depends increasingly on the treatment of extrinsic parameters. Standard analyses fix sky localization - and sometimes also polarization and inclination - to…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Kallol Dey , Enrico Barausse , Marco Crisostomi , Roberto Trotta

I explore the possibility of resurrecting an old, non-Bayesian computational approach for inferring the source direction of a gravitational wave from the output of a two-detector network. The method gives the beam pattern response functions…

Instrumentation and Methods for Astrophysics · Physics 2018-05-04 Tom McClain