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We propose a coherent method for the detection and reconstruction of gravitational wave signals for a network of interferometric detectors. The method is derived using the likelihood functional for unknown signal waveforms. In the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Klimenko , S. Mohanty , M. Rakhmanov , G. Mitselmakher , .

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

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

We describe a novel approach to the detection and parameter estimation of a non\textendash Gaussian stochastic background of gravitational waves. The method is based on the determination of relevant statistical parameters using importance…

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

We develop the analytic and numerical tools for data analysis of the gravitational-wave signals from spinning neutron stars for ground-based laser interferometric detectors. We study in detail the statistical properties of the optimum…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Piotr Jaranowski , Andrzej Krolak

The direct detection of gravitational waves by ground-based optical interferometers has opened a new window in astronomy. Nevertheless, as these detectors are a combination of two Michelson-Morley like baselines, their sensitivity for…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Mariateresa Crosta , Mario G. Lattanzi , Christophe Le Poncin-Lafitte , Mario Gai , Qi Zhaoxiang , Alberto Vecchiato

Continuous gravitational wave signals, like those expected by asymmetric spinning neutron stars, are among the most promising targets for LIGO and Virgo detectors. The development of fast and robust data analysis methods is crucial to…

General Relativity and Quantum Cosmology · Physics 2018-11-13 O. J. Piccinni , S. Frasca , P. Astone , S. D'Antonio , G. Intini , P. Leaci , S. Mastrogiovanni , A. Miller , C. Palomba , A. Singhal

The detection of gravitational wave usually requires to match the measurement data with a large number of templates, which is computationally very expensive. Compressed sensing methods allow one to match the data with a small number of…

General Relativity and Quantum Cosmology · Physics 2014-02-26 Yan Wang

A second generation of gravitational wave detectors will soon come online with the objective of measuring for the first time the tiny gravitational signal from the coalescence of black hole and/or neutron star binaries. In this…

Instrumentation and Methods for Astrophysics · Physics 2017-10-26 Eric Chassande-Mottin , Eric Lebigot , Hugo Magaldi , Eve Chase , Archana Pai , Gayathri V , Gabriele Vedovato

Data analysis is the application of probability and statistics to draw inference from observation. Is a signal present or absent? Is the source an inspiraling binary system or a supernova? At what point in the sky is the radiation incident…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lee Samuel Finn

Gravitational-wave astronomy will soon become a new tool for observing the Universe. Detecting and interpreting gravitational waves will require deep theoretical insights into astronomical sources. The past three decades have seen…

General Relativity and Quantum Cosmology · Physics 2015-04-03 Alessandra Buonanno , B. S. Sathyaprakash

A world-wide array of highly sensitive interferometers stands poised to usher in a new era in astronomy with the first direct detection of gravitational waves. The data from these instruments will provide a unique perspective on extreme…

General Relativity and Quantum Cosmology · Physics 2013-02-27 Neil J. Cornish

We present a method for assigning a statistical significance to detection candidates in targeted searches for continuous gravitational waves from known pulsars, without assuming the detector noise is Gaussian and stationary. We take…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Maximiliano Isi , Simone Mastrogiovanni , Matthew Pitkin , Ornella Juliana Piccinni

It is expected that gravitational waves, similar to electromagnetic waves, can be gravitationally lensed by intervening matters, producing multiple instances of the same signal arriving at different times from different apparent luminosity…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Rico K. L. Lo , Ignacio Magana Hernandez

This contribution is divided in two parts. The first part provides a text-book level introduction to gravitational radiation. The key concepts required for a discussion of gravitational-wave physics are introduced. In particular, the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Nils Andersson , Kostas D Kokkotas

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 new approach to the problem of gravitational waves detection based on simultaneous timing of several pulsars and subsequent expansion of the post-fit timing data into components of different spectral kind (with different spectral indices)…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Alexander E. Rodin

Extreme-mass-ratio inspirals will be prized sources for the upcoming space-based gravitational-wave observatory LISA. The hunt for these is beset by many open theoretical and computational problems in both source modeling and data analysis.…

General Relativity and Quantum Cosmology · Physics 2023-01-03 Alvin J. K. Chua , Curt J. Cutler

In this paper, we review the theoretical basis for generation of gravitational waves and the detection techniques used to detect a gravitational wave. To materialize this goal in a thorough way we first start with a mathematical background…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Saibal Ray , R. Bhattacharya , Sanjay K. Sahay , Abdul Aziz , Amit Das

Space-based gravitational wave (GW) detectors will be able to observe signals from sources that are otherwise nearly impossible from current ground-based detection. Consequently, the well established signal detection method, matched…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Tianyu Zhao , Ruoxi Lyu , He Wang , Zhoujian Cao , Zhixiang Ren
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