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The standard multidetector F-statistic for continuous gravitational waves is susceptible to false alarms from instrumental artifacts, for example monochromatic sinusoidal disturbances ('lines'). This vulnerability to line artifacts arises…

General Relativity and Quantum Cosmology · Physics 2015-01-19 David Keitel , Reinhard Prix , Maria Alessandra Papa , Paola Leaci , Maham Siddiqi

Continuous gravitational waves (CW) are expected from spinning neutron stars with non-axisymmetric deformations. A network of interferometric detectors (LIGO, Virgo and GEO600) is looking for these signals. They are predicted to be very…

General Relativity and Quantum Cosmology · Physics 2012-01-26 David Keitel , Reinhard Prix , Maria Alessandra Papa , Maham Siddiqi

The vulnerability to single-detector instrumental artifacts in standard detection methods for long-duration quasimonochromatic gravitational waves from nonaxisymmetric rotating neutron stars [continuous waves (CWs)] was addressed in past…

General Relativity and Quantum Cosmology · Physics 2016-04-26 David Keitel

Gravitational wave detectors will need optimal signal-processing algorithms to extract weak signals from the detector noise. Most algorithms designed to date are based on the unrealistic assumption that the detector noise may be modeled as…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Bruce Allen , Jolien D. E. Creighton , Eanna E. Flanagan , Joseph D. Romano

In a previous paper (gr-qc/0105100) we derived a set of near-optimal signal detection techniques for gravitational wave detectors whose noise probability distributions contain non-Gaussian tails. The methods modify standard methods by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Bruce Allen , Jolien D. E. Creighton , Eanna E. Flanagan , Joseph D. Romano

Pulsar timing arrays are sensitive to low-frequency gravitational waves (GWs), such as those produced by supermassive binary black holes at subparsec separations. The incoherent superposition of GWs emitted by a cosmological population of…

High Energy Astrophysical Phenomena · Physics 2025-11-05 Shashwat C. Sardesai , Gabriel E. Freedman , Sarah J. Vigeland , Caitlin A. Witt

We investigate the Bayesian framework for detection of continuous gravitational waves (GWs) in the context of targeted searches, where the phase evolution of the GW signal is assumed to be known, while the four amplitude parameters are…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Reinhard Prix , Badri Krishnan

This paper presents an efficient numerical sensitivity-estimation method and implementation for continuous-gravitational-wave searches, extending and generalizing an earlier analytic approach by Wette [1]. This estimation framework applies…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Christoph Dreissigacker , Reinhard Prix , Karl Wette

In order to analyze data produced by the kilometer-scale gravitational wave detectors that will begin operation early next century, one needs to develop robust statistical tools capable of extracting weak signals from the detector noise.…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Jolien D. E. Creighton

We develop a general formalism for the parameter-space metric of the multi-detector F-statistic, which is a matched-filtering detection statistic for continuous gravitational waves. We find that there exists a whole family of F-statistic…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Reinhard Prix

Given the sensitivity of current ground-based Gravitational Wave (GW) detectors, any continuous-wave signal we can realistically expect will be at a level or below the background noise. Hence, any data analysis of detector data will need to…

General Relativity and Quantum Cosmology · Physics 2011-09-16 Iraj Gholami

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

Under standard assumptions including stationary and serially uncorrelated Gaussian gravitational wave stochastic background signal and noise distributions, as well as homogenous detector sensitivities, the standard cross-correlation…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-17 Martellini Lionel , Regimbau Tania

The F-statistic is an optimal detection statistic for continuous gravitational waves, i.e., long-duration (quasi-)monochromatic signals with slowly-varying intrinsic frequency. This method was originally developed in the context of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Reinhard Prix , John T. Whelan

We present a comprehensive investigation of the F-statistic method for parameter estimation of gravitational wave (GW) signals from compact binary coalescences. By analytically maximizing the likelihood over the luminosity distance and…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Hai-Tian Wang

In a blind search for continuous gravitational wave signals scanning a wide frequency band one looks for candidate events with significantly large values of the detection statistic. Unfortunately, a noise line in the data may also produce a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Y. Itoh , M. A. Papa , B. Krishnan , X. Siemens

Pulsar timing arrays recently found evidence for a gravitational wave background (GWB), likely the stochastic overlap of GWs from many supermassive black hole binaries. Anticipating a continuous gravitational wave (CW) detection from a…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-08 Emiko C. Gardiner , Bence Bécsy , Luke Zoltan Kelley , Neil J. Cornish

Continuous gravitational-wave signals (CWs) are long-lasting quasi-monochromatic gravitational-wave signals expected to be emitted by rapidly-rotating non-axisymmetric neutron stars. Depending on the rotational frequency and sky location of…

General Relativity and Quantum Cosmology · Physics 2024-03-06 Rafel Jaume , Rodrigo Tenorio , Alicia M. Sintes

In a recent paper we described a novel approach to the detection and parameter estimation of a non-Gaussian stochastic background of gravitational waves. In this work we propose an improved version of the detection procedure, preserving…

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

The F-statistic, derived by Jaranowski, Krolak & Schutz (1998), is the optimal (frequentist) statistic for the detection of nearly periodic gravitational waves from known neutron stars, in the presence of stationary, Gaussian detector…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Curt Cutler , Bernard F. Schutz
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