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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

The data analysis problem of coherently searching for unmodeled gravitational-wave bursts in the data generated by a global network of gravitational-wave observatories has been at the center of research for almost two decades. As data from…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Antony C. Searle , Patrick J. Sutton , Massimo Tinto

A stochastic gravitational-wave background (SGWB) can arise from the superposition of many independent events. If the rate of events per unit time is sufficiently high, the resulting background is Gaussian, which is to say that it is…

Instrumentation and Methods for Astrophysics · Physics 2013-08-27 Eric Thrane

Parameter estimation of gravitational wave signals is computationally intensive and typically requires millions of likelihood evaluations to construct posterior probability distributions. This computational cost increases significantly in…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Neha Sharma , Aditya Vijaykumar , Prayush Kumar

We review and expand on a Bayesian model selection technique for the detection of gravitational waves from neutron star ring-downs associated with pulsar glitches. The algorithm works with power spectral densities constructed from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J Clark , I S Heng , M Pitkin , G Woan

Most current compact-binary searches and parameter-estimation pipelines evaluate the Gaussian-noise likelihood approximately using frequency-domain inner products with great success in analyzing gravitational-wave signals. This is…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Vaishak Prasad

In a previous paper (gr-qc/0105100) we derived a set of near-optimal signal detection techniques for gravitational wave detectors whose noise probability distributions contain non-Gaussian tails. The methods modify standard methods by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Bruce Allen , Jolien D. E. Creighton , Eanna E. Flanagan , Joseph D. Romano

A small fraction of the gravitational-wave (GW) signals that will be detected by second and third generation detectors are expected to be strongly lensed by galaxies and clusters, producing multiple observable copies. While optimal Bayesian…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Srashti Goyal , Harikrishnan D. , Shasvath J. Kapadia , Parameswaran Ajith

It is known by the experience gained from the gravitational wave detector proto-types that the interferometric output signal will be corrupted by a significant amount of non-Gaussian noise, large part of it being essentially composed of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. Chassande-Mottin , S. V. Dhurandhar

Inferring the properties of colliding black holes from gravitational-wave observations is subject to systematic errors arising from modelling uncertainties. Although the accuracy of each model can be calculated through comparison to…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Charlie Hoy , Sarp Akcay , Jake Mac Uilliam , Jonathan E. Thompson

Gravitational-wave (GW) parameter estimation typically assumes that instrumental noise is Gaussian and stationary. Obvious departures from this idealization are typically handled on a case-by-case basis, e.g., through bespoke procedures to…

Instrumentation and Methods for Astrophysics · Physics 2026-04-15 Ronan Legin , Maximiliano Isi , Kaze W. K. Wong , Yashar Hezaveh , Laurence Perreault-Levasseur

Gravitational wave data are often contaminated by non-Gaussian noise transients, glitches, which can bias the inference of astrophysical signal parameters. Traditional approaches either subtract glitches in a pre-processing step, or a…

General Relativity and Quantum Cosmology · Physics 2025-08-01 Ann-Kristin Malz , John Veitch

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

Gravitational wave (GW) detectors, such as LIGO, Virgo, and KAGRA, detect faint signals from distant astrophysical events. However, their high sensitivity also makes them susceptible to background noise, which can obscure these signals.…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Tom Dooney , Harsh Narola , Stefano Bromuri , R. Lyana Curier , Chris Van Den Broeck , Sarah Caudill , Daniel Stanley Tan

A new model independent method is presented for the analysis of pulsar timing data and the estimation of the spectral properties of an isotropic gravitational wave background (GWB). We show that by rephrasing the likelihood we are able to…

Instrumentation and Methods for Astrophysics · Physics 2013-06-26 Lindley Lentati , Paul Alexander , Michael P. Hobson , Stephen Taylor , Jonathon Gair , Sreekumar T. Balan , Rutger van Haasteren

A common technique for detection of gravitational-wave signals is searching for excess power in frequency-time maps of gravitational-wave detector data. In the event of a detection, model selection and parameter estimation will be performed…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Michael Coughlin , Nelson Christensen , Jonathan Gair , Shivaraj Kandhasamy , Eric Thrane

In the coming decades, as the low frequency sensitivity of detectors improves, the time that gravitational-wave signals remain in the sensitive band will increase, leading to new challenges in analyzing data, namely non-stationary noise and…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Noah Pearson , Neil J. Cornish

We present a new method of wavelet packet decomposition to be used in gravitational wave detection. An issue in wavelet analysis is what is the time-frequency resolution which is best suited to analyze data when in quest of a signal of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Riccardo Sturani , Roberto Terenzi

In a recent paper we described a novel approach to the detection and parameter estimation of a non-Gaussian stochastic background of gravitational waves. In this work we propose an improved version of the detection procedure, preserving…

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

The ensemble of unresolved compact binary coalescences is a promising source of the stochastic gravitational wave (GW) background. For stellar-mass black hole binaries, the astrophysical stochastic GW background is expected to exhibit…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Takahiro S. Yamamoto , Sachiko Kuroyanagi , Guo-Chin Liu