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Crosscorrelation of the outputs of two Gravitational Wave (GW) detectors has recently been proposed [1] as a method for detecting statistical association between GWs and Gamma Ray Bursts (GRBs). Unfortunately, the method can be effectively…

Astrophysics · Physics 2009-11-07 G. Modestino , A. Moleti

We derive a simple algebraic criterion to select the optimal detector network for a coherent wide parameter-space (all-sky) search for continuous gravitational waves. Optimality in this context is defined as providing the highest (average)…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Reinhard Prix

Gravitational wave (GW) observations probe both a diffuse, stochastic gravitational wave background (SGWB) as well as individual cataclysmic events such as the merger of two compact objects. The detection and description of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-28 Eleanor Gleave , Andrew Jaffe

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

We investigate the class of quadratic detectors (i.e., the statistic is a bilinear function of the data) for the detection of poorly modeled gravitational transients of short duration. We point out that all such detection methods are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 E. Chassande-Mottin

Direct detection of gravitational waves by pulsar timing arrays will become feasible over the next few years. In the low frequency regime ($10^{-7}$ Hz -- $10^{-9}$ Hz), we expect that a superposition of gravitational waves from many…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Justin Ellis , Xavier Siemens , Rutger van Haasteren

This paper presents an algorithm for constructing matched-filter template banks in an arbitrary parameter space. The method places templates at random, then removes those which are "too close" together. The properties and optimality of…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Ian Harry , Bruce Allen , B. S. Sathyaprakash

Although measuring the deterministic waveform of a weak classical force is a well-studied problem, estimating a random waveform, such as the spectral density of a stochastic signal field, is much less well-understood despite it being a…

Future Gravitational Wave observatories will give us the opportunity to search for stochastic signals of astrophysical, or even cosmological origins. However, parameter estimation and search will be challenging, mostly due to the overlap of…

General Relativity and Quantum Cosmology · Physics 2024-10-21 Nikolaos Karnesis , Argyro Sasli , Riccardo Buscicchio , Nikolaos Stergioulas

We introduce a high-performance implementation of a loosely coherent statistic sensitive to signals spanning a finite-dimensional manifold in parameter space. Results from full scale simulations on Gaussian noise are discussed, as well as…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Vladimir Dergachev

Many searches for continuous gravitational waves face significant computational challenges due to the need to explore large parameter spaces characterized by unknown parameters. Parameter-space metrics are used to predict the relative loss…

General Relativity and Quantum Cosmology · Physics 2026-05-18 P. B. Covas , R. Prix

Fully coherent searches (over realistic ranges of parameter space and year-long observation times) for unknown sources of continuous gravitational waves are computationally prohibitive. Less expensive hierarchical searches divide the data…

General Relativity and Quantum Cosmology · Physics 2009-10-27 Holger J. Pletsch , Bruce Allen

This paper proposes feasible asymptotically efficient estimators for a certain class of Gaussian noises with self-similar and stationary properties, which includes the fractional Gaussian noise, under high frequency observations. In this…

Statistics Theory · Mathematics 2016-11-23 Masaaki Fukasawa , Tetsuya Takabatake

Gravitational wave detection requires an in-depth understanding of the physical properties of gravitational wave signals, and the noise from which they are extracted. Understanding the statistical properties of noise is a complex endeavor,…

General Relativity and Quantum Cosmology · Physics 2019-12-05 Wei Wei , E. A. Huerta

There is a broad class of astrophysical sources that produce detectable, transient, gravitational waves. Some searches for transient gravitational waves are tailored to known features of these sources. Other searches make few assumptions…

A joint fit of the mass and redshift distributions of the population of Binary Black Holes detected with Gravitational-Wave observations can be used to obtain constraints on the Hubble parameter and on deviations from General Relativity in…

General Relativity and Quantum Cosmology · Physics 2022-11-29 Michele Mancarella , Nicola Borghi , Stefano Foffa , Edwin Genoud-Prachex , Francesco Iacovelli , Michele Maggiore , Michele Moresco , Matteo Schulz

Inspiraling binaries of compact objects are primary targets for current and future gravitational-wave observatories. Waveforms computed in General Relativity are used to search for these sources, and will probably be used to extract source…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Michele Vallisneri , Nicolas Yunes

Searches for known waveforms in gravitational wave detector data are often done using matched filtering. When used on real instrumental data, matched filtering often does not perform as well as might be expected, because non-stationary and…

General Relativity and Quantum Cosmology · Physics 2011-07-18 Bruce Allen

The study of compact binary in-spirals and mergers with gravitational wave observatories amounts to optimizing a theoretical description of the data to best reproduce the true detector output. While most of the research effort in…

Instrumentation and Methods for Astrophysics · Physics 2013-10-30 Tyson B. Littenberg , Michael Coughlin , Benjamin Farr , Will M. Farr

We derive a lower bound on the sensitivity of generic mechanical and electromagnetic gravitational wave detectors. We consider both classical and quantum detection schemes, although we focus on the former. Our results allow for a simple…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Raffaele Tito D'Agnolo , Sebastian A. R. Ellis