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Model waveforms are used in gravitational wave data analysis to detect and then to measure the properties of a source by matching the model waveforms to the signal from a detector. This paper derives accuracy standards for model waveforms…

General Relativity and Quantum Cosmology · Physics 2009-01-08 Lee Lindblom , Benjamin J. Owen , Duncan A. Brown

Model gravitational waveforms must be accurate enough to be useful for detection of signals and measurement of their parameters, so appropriate accuracy standards are needed. Yet these standards should not be unnecessarily restrictive,…

General Relativity and Quantum Cosmology · Physics 2011-05-04 Lee Lindblom , John G. Baker , Benjamin J. Owen

Accuracy standards have been developed to ensure that the waveforms used for gravitational-wave data analysis are good enough to serve their intended purposes. These standards place constraints on certain norms of the frequency-domain…

General Relativity and Quantum Cosmology · Physics 2009-10-20 Lee Lindblom

With the improvement in sensitivity of gravitational wave (GW) detectors and the increasing diversity of GW sources, there is a strong need for accurate GW waveform models for data analysis. While the current model accuracy assessments…

General Relativity and Quantum Cosmology · Physics 2022-08-22 Qian Hu , John Veitch

Searches for binary inspiral signals in data collected by interferometric gravitational wave detectors utilize matched filtering techniques. Although matched filtering is optimal in the case of stationary Gaussian noise, data from real…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Shawhan , Evan Ochsner

Gravitational wave (GW) signals of astrophysical origin are typically weak. This is because gravity is a weak force, the weakest among the four forces we know of. In order to detect GW signals, one must make differential measurements of…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Sanjeev Dhurandhar

Calibration errors in the response function of a gravitational wave detector degrade its ability to detect and then to measure the properties of any detected signals. This paper derives the needed levels of calibration accuracy for each of…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Lee Lindblom

A vitally important requirement for detecting gravitational wave (GW) signals from compact coalescing binaries (CBC) with high significance is the reduction of the false-alarm rate of the matched-filter statistic. The data from GW detectors…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Prasanna Joshi , Rahul Dhurkunde , Sanjeev Dhurandhar , Sukanta Bose

The increasing sensitivity of current and upcoming gravitational-wave (GW) detectors poses stringent requirements on the accuracy of the GW models used for data analysis. If these requirements are not met, systematic errors could dominate…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Lorenzo Pompili , Alessandra Buonanno , Michael Pürrer

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 sensitivity of gravitational wave searches is reduced by the presence of non-Gaussian noise in the detector data. These non-Gaussianities often match well with the template waveforms used in matched filter searches, and require…

General Relativity and Quantum Cosmology · Physics 2022-05-26 Connor McIsaac , Ian Harry

This article presents a study of the sufficient accuracy of post-Newtonian and numerical relativity waveforms for the most demanding usage case: parameter estimation of strong sources in advanced gravitational wave detectors. For black hole…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Ilana MacDonald , Samaya Nissanke , Harald P. Pfeiffer

Future third generation (3G) ground-based GW detectors, such as the Einstein Telescope and Cosmic Explorer, will have unprecedented sensitivities enabling studies of the entire population of stellar mass binary black hole coalescences in…

General Relativity and Quantum Cosmology · Physics 2019-12-24 Michael Pürrer , Carl-Johan Haster

The anticipated enhancements in detector sensitivity and the corresponding increase in the number of gravitational wave detections will make it possible to estimate parameters of compact binaries with greater accuracy assuming general…

General Relativity and Quantum Cosmology · Physics 2021-12-30 Neev Khera , Abhay Ashtekar , Badri Krishnan

I discuss the accuracy requirements on numerical relativity calculations of inspiraling compact object binaries whose extracted gravitational waveforms are to be used as templates for matched filtering signal extraction and physical…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Mark Miller

We demonstrate how to quantify the frequency-domain amplitude and phase accuracy of waveform models, $\delta A$ and $\delta \phi$, in a form that could be marginalized over in gravitational-wave inference using techniques currently applied…

General Relativity and Quantum Cosmology · Physics 2023-06-07 Jocelyn S. Read

The sensitivity of current gravitational wave (GW) detectors to transient GW signals is severely affected by a variety of non-Gaussian and non-stationary noise transients, such as the blip, tomte, koi fish, and low-frequency blip…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Tathagata Ghosh , Sukanta Bose , Sanjeev Dhurandhar , Sunil Choudhary

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

Posterior distributions on parameters computed from experimental data using Bayesian techniques are only as accurate as the models used to construct them. In many applications these models are incomplete, which both reduces the prospects of…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Christopher J. Moore , Jonathan R. Gair

We quantify the consistency of numerical-relativity black-hole-binary waveforms for use in gravitational-wave (GW) searches with current and planned ground-based detectors. We compare previously published results for the $(\ell=2,| m | =2)$…

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