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We consider the Bayesian detection statistic for a targeted search for continuous gravitational waves, known as the $\mathcal{B}$-statistic. This is a Bayes factor between signal and noise hypotheses, produced by marginalizing over the four…

General Relativity and Quantum Cosmology · Physics 2018-12-19 John J. Bero , John T. Whelan

We describe the extension to multiple datasets of a coherent method for the search of continuous gravitational wave signals, based on the computation of 5-vectors. In particular, we show how to coherently combine different datasets…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Pia Astone , Alberto Colla , Sabrina D'Antonio , Sergio Frasca , Cristiano Palomba

This work investigates the problem of detecting gravitational wave (GW) events based on simulated damped sinusoid signals contaminated with white Gaussian noise. It is treated as a classification problem with one class for the interesting…

Instrumentation and Methods for Astrophysics · Physics 2020-06-01 Xiangru Li , Woliang Yu , Xilong Fan , G. Jogesh Babu

A continuous stochastic background of gravitational waves (GWs) for burst sources is produced if the mean time interval between the occurrence of bursts is smaller than the average time duration of a single burst at the emission, i.e., the…

Astrophysics · Physics 2009-10-31 J. C. N. de Araujo , O. D. Miranda , O. D. Aguiar

Research in Graph Signal Processing (GSP) aims to develop tools for processing data defined on irregular graph domains. In this paper we first provide an overview of core ideas in GSP and their connection to conventional digital signal…

Signal Processing · Electrical Eng. & Systems 2018-03-28 Antonio Ortega , Pascal Frossard , Jelena Kovačević , José M. F. Moura , Pierre Vandergheynst

This chapter introduces the fundamental principles of gravitational wave detectors in a simple and comprehensive manner. Because these instruments aim for extremely high sensitivity, it is essential to understand their various noise…

Optics · Physics 2026-01-29 Marina Trad-Nery , Margherita Turconi , Walid Chaibi

The signal of continuous gravitational waves has a longer duration than the observation period. Even if the waveform in the source frame is monochromatic, we will observe the waveform with modulated frequencies due to the motion of the…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Takahiro S. Yamamoto , Takahiro Tanaka

Long-lived gravitational wave (GW) transients have received interest in the last decade, as the sensitivity of LIGO and Virgo increases. Such signals, lasting between 10 and 1000s, can come from a variety of sources, including accretion…

General Relativity and Quantum Cosmology · Physics 2021-08-24 Adrian Macquet , Marie-Anne Bizouard , Nelson Christensen , Michael Coughlin

In massive scalar-tensor gravity, core-collapse supernovae are strong sources of scalar-polarized gravitational waves. These can be detectable out to large distance. The dispersive nature of the propagation of waves in the massive scalar…

General Relativity and Quantum Cosmology · Physics 2023-07-10 Roxana Rosca-Mead , Michalis Agathos , Christopher J. Moore , Ulrich Sperhake

Gravitational-wave observations have revealed sources whose unusual properties challenge our understanding of compact-binary formation. Inferring the formation processes that are best able to reproduce such events may therefore yield key…

High Energy Astrophysical Phenomena · Physics 2023-09-08 Matthew Mould , Davide Gerosa , Marco Dall'Amico , Michela Mapelli

Pulsar timing arrays (PTAs) are used to search for long-wavelength gravitational waves (GWs) by monitoring a set of spin-stable millisecond pulsars. Most theoretical analyses assume that the relevant GW sources are much more distant from…

Astrophysics of Galaxies · Physics 2018-01-03 Dustin R. Madison , David F. Chernoff , James M. Cordes

Parameterised models that predict the gravitational-wave (GW) signal from merging black holes are used to extract source properties from GW observations. The majority of research in this area has focused on developing methods capable of…

General Relativity and Quantum Cosmology · Physics 2024-09-09 Sebastian Khan

We describe a coherent network algorithm for detection and reconstruction of gravitational wave bursts. The algorithm works for two and more arbitrarily aligned detectors and can be used for both all-sky and triggered burst searches. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Klimenko , I. Yakushin , A. Mercer , G. Mitselmakher

For the first detection of a novel astrophysical phenomenon, scientific standards are particularly high. Especially in a multi-messenger context, there are also opportunity costs to follow-up observations on any detection claims. So in…

General Relativity and Quantum Cosmology · Physics 2025-05-06 David Keitel

Gravitational waves (GW) can constitute a unique probe of the primordial universe. In many cases, the characteristic frequency of the emitted GW is directly related to the energy scale at which the GW source is operating in the early…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Chiara Caprini

The problem of the detection and mapping of a stochastic gravitational wave background (SGWB), either of cosmological or astrophysical origin, bears a strong semblance to the analysis of CMB anisotropy and polarization. The basic statistic…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Sanjit Mitra , Sanjeev Dhurandhar , Tarun Souradeep , Albert Lazzarini , Vuk Mandic , Sukanta Bose , Stefan Ballmer

In this paper we introduce a hands-on activity in which introductory astronomy students act as gravitational wave astronomers by extracting information from simulated gravitational wave signals. The process mimics the way true gravitational…

Physics Education · Physics 2008-11-26 Louis J. Rubbo , Shane L. Larson , Michelle B. Larson , Dale R. Ingram

Rapid, accurate localization of gravitational wave transient events has proved critical to successful electromagnetic followup. In previous papers we have shown that localization estimates can be obtained through triangulation based on…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Stephen Fairhurst

We present a lightweight, flexible, and high-performance framework for inferring the properties of gravitational-wave events. By combining likelihood heterodyning, automatically-differentiable and accelerator-compatible waveforms, and…

Instrumentation and Methods for Astrophysics · Physics 2023-02-13 Kaze W. K. Wong , Maximiliano Isi , Thomas D. P. Edwards

Leveraging Markov chain Monte Carlo (MCMC) optimization of the F-statistic, we introduce a method for the hierarchical follow-up of continuous gravitational wave candidates identified by wide-parameter space semi-coherent searches. We…

Instrumentation and Methods for Astrophysics · Physics 2018-06-06 Gregory Ashton , Reinhard Prix
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