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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…

Gravitational wave detection has opened up new avenues for exploring and understanding some of the fundamental principles of the universe. The optimal method for detecting modelled gravitational-wave events involves template-based matched…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Damon Beveridge , Alistair McLeod , Linqing Wen , Andreas Wicenec

The standard noise model in gravitational wave (GW) data analysis assumes detector noise is stationary and Gaussian distributed, with a known power spectral density (PSD) that is usually estimated using clean off-source data. Real GW data…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Matthew C. Edwards , Renate Meyer , Nelson Christensen

Analysis of pulsar timing data have provided evidence for a stochastic gravitational wave background in the nHz frequency band. The most plausible source of such a background is the superposition of signals from millions of supermassive…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Bence Bécsy , Neil J. Cornish , Patrick M. Meyers , Luke Zoltan Kelley , Gabriella Agazie , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Paul T. Baker , Laura Blecha , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , J. Andrew Casey-Clyde , Maria Charisi , Shami Chatterjee , Katerina Chatziioannou , Tyler Cohen , James M. Cordes , Fronefield Crawford , H. Thankful Cromartie , Kathryn Crowter , Megan E. DeCesar , Paul B. Demorest , Timothy Dolch , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel E. Freedman , Nate Garver-Daniels , Peter A. Gentile , Joseph Glaser , Deborah C. Good , Kayhan Gültekin , Jeffrey S. Hazboun , Sophie Hourihane , Ross J. Jennings , Aaron D. Johnson , Megan L. Jones , Andrew R. Kaiser , David L. Kaplan , Matthew Kerr , Joey S. Key , Nima Laal , Michael T. Lam , William G. Lamb , T. Joseph W. Lazio , Natalia Lewandowska , Tyson B. Littenberg , Tingting Liu , Duncan R. Lorimer , Jing Luo , Ryan S. Lynch , Chung-Pei Ma , Dustin R. Madison , Alexander McEwen , James W. McKee , Maura A. McLaughlin , Natasha McMann , Bradley W. Meyers , Chiara M. F. Mingarelli , Andrea Mitridate , Cherry Ng , David J. Nice , Stella Koch Ocker , Ken D. Olum , Timothy T. Pennucci , Benetge B. P. Perera , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Joseph D. Romano , Shashwat C. Sardesai , Ann Schmiedekamp , Carl Schmiedekamp , Kai Schmitz , Brent J. Shapiro-Albert , Xavier Siemens , Joseph Simon , Magdalena S. Siwek , Sophia V. Sosa Fiscella , Ingrid H. Stairs , Daniel R. Stinebring , Kevin Stovall , Abhimanyu Susobhanan , Joseph K. Swiggum , Stephen R. Taylor , Jacob E. Turner , Caner Unal , Michele Vallisneri , Rutger van Haasteren , Sarah J. Vigeland , Haley M. Wahl , Caitlin A. Witt , Olivia Young

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

Current matched-filter searches for gravitational waves from binary black-hole mergers compare the calibrated detector data to waveform templates that omit the higher-order mode content of the signals predicted by General Relativity.…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Koustav Chandra , Juan Calderón Bustillo , Archana Pai , Ian Harry

Understanding and dealing with inference biases in gravitational-wave (GW) parameter estimation when a plethora of signals are present in the data is one of the key challenges for the analysis of data from future GW detectors. Working…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Andrea Antonelli , Ollie Burke , Jonathan R. Gair

The article reviews the statistical theory of signal detection in application to analysis of deterministic gravitational-wave signals in the noise of a detector. Statistical foundations for the theory of signal detection and parameter…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Piotr Jaranowski , Andrzej Królak

Gravitational wave (GW) astronomy has revolutionized our capacity to explore nature. The next generation of observatories, among which the space-borne detector Laser Interferometer Space Antenna LISA, is expected to yield orders of…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Henri Inchauspé , Silvia Gasparotto , Diego Blas , Lavinia Heisenberg , Jann Zosso , Shubhanshu Tiwari

Accurate parameter estimation is key to maximizing the scientific impact of gravitational-wave astronomy. Parameters of a binary merger are typically estimated using Bayesian inference. It is necessary to make several assumptions when doing…

General Relativity and Quantum Cosmology · Physics 2021-06-11 Suman Kulkarni , Collin D. Capano

Likelihood surfaces in the parameter space of gravitational wave signals can contain many secondary maxima, which can prevent search algorithms from finding the global peak and correctly mapping the distribution. Traditional schemes to…

General Relativity and Quantum Cosmology · Physics 2015-01-26 Robert H. Cole , Jonathan R. Gair

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 recent discovery of the stochastic gravitational-wave background via pulsar timing arrays will likely be followed by the detection of individual black hole binaries that stand out above the background. However, to confidently claim the…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Bence Bécsy , Neil J. Cornish , Polina Petrov , Xavier Siemens , Stephen R. Taylor , Sarah J. Vigeland , Caitlin A. Witt

Sapce-borne gravitational wave antennas, such as LISA and LISA-like mission (Taiji and Tianqin), will offer novel perspectives for exploring our Universe while introduce new challenges, especially in data analysis. Aside from the known…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Yuxiang Xu , Minghui Du , Peng Xu , Bo Liang , He Wang

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

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

Coherent WaveBurst is a generic, multidetector gravitational wave burst search based on the excess power approach. The coherent WaveBurst algorithm currently employed in the all-sky short-duration gravitational wave burst search uses a…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Dixeena Lopez , V. Gayathri , Archana Pai , Ik Siong Heng , Chris Messenger , Sagar Kumar Gupta

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

Approximations are commonly employed in realistic applications of scientific Bayesian inference, often due to convenience if not necessity. In the field of gravitational-wave (GW) data analysis, fast-to-evaluate but approximate waveform…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Ruiting Mao , Jeong Eun Lee , Ollie Burke , Alvin J. K. Chua , Matthew C. Edwards , Renate Meyer

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…