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Bayesian inference of gravitational wave signals is subject to systematic error due to modelling uncertainty in waveform signal models, coined approximants. A growing collection of approximants are available which use different approaches…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Gregory Ashton , Sebastian Khan

Accurate modeling of selection effects is a key ingredient to the success of gravitational-wave astronomy. The detection probability plays a crucial role in both statistical population studies, where it enters the hierarchical Bayesian…

High Energy Astrophysical Phenomena · Physics 2024-05-16 Davide Gerosa , Malvina Bellotti

Matched filtering is a popular data analysis framework used to search for gravitational wave signals emitted by compact object binaries. The templates used in matched filtering searches are constructed predominantly from the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2013-08-13 James Healy , Pablo Laguna , Larne Pekowsky , Deirdre Shoemaker

Gravitational lensing by compact, small-scale intervening masses causes frequency-dependent distortions to gravitational-wave events. The optimal signal-to-noise ratio (SNR) is often used as a proxy for the detectability of exotic signals…

General Relativity and Quantum Cosmology · Physics 2025-04-14 Juno C. L. Chan , Eungwang Seo , Alvin K. Y. Li , Heather Fong , Jose M. Ezquiaga

Searching for gravitational waves from compact binary coalescence (CBC) is performed by matched filtering the observed strain data from gravitational-wave observatories against a discrete set of waveform templates designed to accurately…

Instrumentation and Methods for Astrophysics · Physics 2022-05-12 Rahul Dhurkunde , Henning Fehrmann , Alexander H. Nitz

We describe a general approach to detection of transient gravitational-wave signals in the presence of non-Gaussian background noise. We prove that under quite general conditions, the ratio of the likelihood of observed data to contain a…

The matched filtering paradigm is the mainstay of gravitational wave (GW) searches from astrophysical coalescing compact binaries. The compact binary coalescence (CBC) search pipelines perform the matched filter between the GW detector's…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Chetan Verma , Amit Reza , Dilip Krishnaswamy , Sarah Caudill , Gurudatt Gaur

Coalescing compact binaries have been pointed out as the most promising source of gravitational waves for kilometer-size interferometers such as LIGO. Gravitational wave signals are extracted from the noise in the detectors by matched…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Karl Martel

A number of detections have been made in the past few years of gravitational waves from compact binary coalescences. While there exist well-understood waveform models for signals from compact binary coalescences, many sources of…

Instrumentation and Methods for Astrophysics · Physics 2019-07-24 Sharan Banagiri , Ling Sun , Michael W. Coughlin , Andrew Melatos

Gravitational-wave observations have the capability to strongly differentiate between different assumptions for how binary compact objects form. In this work, we show how to carefully interpolate a marginal likelihood between choices of…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Vera Delfavero , Richard O'Shaughnessy , Krzysztof Belczynski , Paweł Drozda , Daniel Wysocki

We present theory and algorithms to perform an all-sky coherent search for periodic signals of gravitational waves in narrow-band data of a detector. Our search is based on a statistic, commonly called the $\mathcal{F}$-statistic, derived…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Pia Astone , Kazimierz M. Borkowski , Piotr Jaranowski , Andrzej Królak , Maciej Pietka

We quantify the advantages of a recently proposed data processing technique to search for continuous gravitational wave (GW) signals from isolated rotating asymmetric neutron stars in data measured by ground-based GW interferometers. This…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Harshit Raj , Sanjeev Dhurandhar , Massimo Tinto

Folding uncertainty in theoretical models into Bayesian parameter estimation is necessary in order to make reliable inferences. A general means of achieving this is by marginalizing over model uncertainty using a prior distribution…

General Relativity and Quantum Cosmology · Physics 2016-03-04 Christopher J. Moore , Christopher P. L. Berry , Alvin J. K. Chua , Jonathan R. Gair

We present a method to search for gravitational waves from coalescing supermassive binary black holes in LISA data. The search utilizes the $\mathcal{F}$-statistic to maximize over, and determine the values of, the extrinsic parameters of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 I. W. Harry , S. Fairhurst , B. S. Sathyaprakash

Supermassive black hole binaries are one of the primary targets for gravitational wave searches using pulsar timing arrays. Gravitational wave signals from such systems are well represented by parametrized models, allowing the standard…

Instrumentation and Methods for Astrophysics · Physics 2016-01-25 Yan Wang , Soumya D. Mohanty , Fredrick A. Jenet

Nonlinear Mixed effects models are hidden variables models that are widely used in many fields such as pharmacometrics. In such models, the distribution characteristics of hidden variables can be specified by including several parameters…

Methodology · Statistics 2021-10-19 Edouard Ollier

Gravitational waves from coalescing compact binaries are searched using the matched filtering technique. As the model waveform depends on a number of parameters, it is necessary to filter the data through a template bank covering the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Babak , R. Balasubramanian , D. Churches , T. Cokelaer , B. S. Sathyaprakash

Binary neutron star mergers are rich laboratories for physics, accessible with ground-based interferometric gravitational-wave detectors such as the Advanced LIGO and Advanced Virgo. If a neutron star remnant survives the merger, it can…

Instrumentation and Methods for Astrophysics · Physics 2020-02-13 Sharan Banagiri , Michael W. Coughlin , James Clark , Paul D. Lasky , M. A. Bizouard , Colm Talbot , Eric Thrane , Vuk Mandic

Rapid identification, characterization, and localization of gravitational waves from binary compact object mergers can enable well-informed follow-on multimessenger observations. In this work, we investigate a small modification to the RIFT…

General Relativity and Quantum Cosmology · Physics 2023-01-05 A. B. Yelikar , V. Delfavero , R. O'Shaughnessy

We introduce an algorithm for placing template waveforms for the search of compact binary mergers in gravitational wave interferometer data. We exploit the smooth dependence of the amplitude and unwrapped phase of the frequency-domain…

Instrumentation and Methods for Astrophysics · Physics 2019-07-03 Javier Roulet , Liang Dai , Tejaswi Venumadhav , Barak Zackay , Matias Zaldarriaga