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Gravitational-wave parameter estimation for compact binary signals typically relies on sequential estimation of the properties of the detector Gaussian noise and of the binary parameters. This procedure assumes that the noise variance,…

General Relativity and Quantum Cosmology · Physics 2022-11-14 Cailin Plunkett , Sophie Hourihane , Katerina Chatziioannou

Using simulated signals and measured noise with the EXPLORER and NAUTILUS detectors we find the efficiency of signal detection and the signal arrival time dispersion versus the signal-to-noise ratio.

General Relativity and Quantum Cosmology · Physics 2011-08-17 P. Astone , S. D'Antonio , G. Pizzella

We introduce $\texttt{GWFAST}$, a Fisher information matrix $\texttt{Python}$ code that allows easy and efficient estimation of signal-to-noise ratios and parameter measurement errors for large catalogs of resolved sources observed by…

Instrumentation and Methods for Astrophysics · Physics 2022-10-25 Francesco Iacovelli , Michele Mancarella , Stefano Foffa , Michele Maggiore

We study the statistical decision process of detecting the signal from a `signal+noise' type matrix model with an additive Wigner noise. We propose a hypothesis test based on the linear spectral statistics of the data matrix, which does not…

Statistics Theory · Mathematics 2021-03-05 Ji Hyung Jung , Hye Won Chung , Ji Oon Lee

When a gravitational wave encounters a massive object along the line of sight, repeated copies of the original signal may be produced due to gravitational lensing. In this paper, we develop a series of new machine-learning based statistical…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Giulia Campailla , Marco Raveri , Wayne Hu , Jose María Ezquiaga

A gravitational-wave background can be detected in pulsar-timing-array data as Hellings--Downs correlations among the timing residuals measured for different pulsars. The optimal statistic implements this concept as a classical…

High Energy Astrophysical Phenomena · Physics 2024-02-14 Michele Vallisneri , Patrick M. Meyers , Katerina Chatziioannou , Alvin J. K. Chua

We present a method of searching for, and parameterizing, signals from known radio pulsars in data from interferometric gravitational wave detectors. This method has been applied to data from the LIGO and GEO 600 detectors to set upper…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Réjean J. Dupuis , Graham Woan

The detection of gravitational waves has opened unparalleled opportunities for observing the universe, particularly through the study of black hole inspirals. These events serve as unique laboratories to explore the laws of physics under…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Beka Modrekiladze

Gravitational wave astrophysics requires accurate evaluation of the Signal-to-Noise Ratio (SNR) and the Probability of Detection (Pdet) for applications such as population simulations and hierarchical Bayesian inference with selection…

Instrumentation and Methods for Astrophysics · Physics 2025-10-30 Hemantakumar Phurailatpam , Otto Akseli Hannuksela

All-sky and wide parameter space searches for continuous gravitational waves are generally template-matching schemes which test a bank of signal waveforms against data from a gravitational wave detector. Such searches can offer optimal…

Instrumentation and Methods for Astrophysics · Physics 2019-07-24 Joe Bayley , Graham Woan , Chris Messenger

Unlike ground-based gravitational wave detectors, space-based gravitational wave detectors can detect the ringdown signals from massive black hole mergers with large signal-to-noise ratios, help to localize sources and extract their…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Chunyu Zhang , Yungui Gong , Chao Zhang

We propose a data processing technique that allows searches for a stochastic background of gravitational radiation with data from a single detector. Our technique exploits the difference between the coherence time of the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2012-05-22 Massimo Tinto , J. W. Armstrong

Pulsar timing experiments are reaching sufficient sensitivity to detect a postulated stochastic gravitational wave background generated by merging supermassive black hole systems in the cores of galaxies. We describe the techniques behind…

Astrophysics · Physics 2009-06-23 G. Hobbs

The intensity statistics of signals in the presence of Gaussian noise is obtained by studying the model of a random signal plus a random phasor sum. The additive Gaussian noise is shown to result in a Bessel transform of the probability…

Disordered Systems and Neural Networks · Physics 2015-05-13 A. A. Chabanov

The collection of individually resolvable gravitational wave (GW) events makes up a tiny fraction of all GW signals which reach our detectors, while most lie below the confusion limit and go undetected. Like voices in a crowded room, the…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Arianna I. Renzini , Boris Goncharov , Alexander C. Jenkins , Pat M. Meyers

We develop a formalism to calculate the response of a model gravitational wave detector to a quantized gravitational field. Coupling a detector to a quantum field induces stochastic fluctuations ("noise") in the length of the detector arm.…

High Energy Physics - Theory · Physics 2021-08-25 Maulik Parikh , Frank Wilczek , George Zahariade

Gravitational wave astronomy is rapidly advancing with the development of new observatories, leading to an increasing volume and complexity of data. This trend places growing pressure on classical data analysis methods and motivates the…

Instrumentation and Methods for Astrophysics · Physics 2026-03-19 Fangzhou Guo , Jibo He

We have implemented likelihood testing of the performance of an optimal filter within the online analysis of AURIGA, a sub-Kelvin resonant-bar gravitational wave detector. We demonstrate the effectiveness of this technique in discriminating…

The gravitational-wave detector is a complex and sensitive collection of advanced instruments that are impacted not only by mechanical/electronics systems but also by the surrounding environment. Hence, it is of great importance to classify…

Instrumentation and Methods for Astrophysics · Physics 2022-09-07 Piljong Jung , Sang Hoon Oh , Young-Min Kim , Edwin J. Son , Takaaki Yokozawa , Tatsuki Washimi , John J. Oh

To evaluate the probability of a gravitational-wave candidate originating from noise, GstLAL collects noise statistics from the data it analyzes. Gravitational-wave signals of astrophysical origin get added to the noise statistics, harming…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Prathamesh Joshi , Leo Tsukada , Chad Hanna