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The Laser Interferometer Space Antenna (LISA) will open the mHz band of the gravitational wave spectrum for exploration. Sensitivity curves are a useful tool for surveying the types of sources that can be detected by the LISA mission. Here…

High Energy Astrophysical Phenomena · Physics 2019-05-22 Travis Robson , Neil Cornish , Chang Liu

The difference ("mismatch") between two gravitational-wave (GW) signals is often used to estimate the signal-to-noise ratio (SNR) at which they will be distinguishable in a measurement or, alternatively, when the errors in a signal model…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Jonathan E. Thompson , Charlie Hoy , Edward Fauchon-Jones , Mark Hannam

As first emphasized by Bernard Schutz, there exists a universal distribution of signal-to-noise ratios for gravitational wave detection. Because gravitational waves (GWs) are almost impossible to obscure via dust absorption or other…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Hsin-Yu Chen , Daniel E. Holz

We present the steps to forecast the sensitivity of the Laser Interferometer Space Antenna (LISA) to both a stochastic gravitational wave background and deterministic wave sources. We show how to use these expressions to estimate the…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-09 Tristan L. Smith , Robert Caldwell

To determine whether particular sources of gravitational radiation will be detectable by a specific gravitational wave detector, it is necessary to know the sensitivity limits of the instrument. These instrumental sensitivities are often…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Shane L. Larson , William A. Hiscock , Ronald W. Hellings

Searching for gravitational-wave signals is a challenging and computationally intensive endeavor undertaken by multiple independent analysis pipelines. While detection depends only on observed noisy data, it is sometimes inconsistently…

General Relativity and Quantum Cosmology · Physics 2024-03-15 Matthew Mould , Christopher J. Moore , Davide Gerosa

This paper describes the most accurate analytical frequentist assessment to date of the uncertainties in the estimation of physical parameters from gravitational waves generated by non spinning binary systems and Earth-based networks of…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Salvatore Vitale , Michele Zanolin

Computing signal-to-noise ratios (SNRs) is one of the most common tasks in gravitational-wave data analysis. While a single SNR evaluation is generally fast, computing SNRs for an entire population of merger events could be time consuming.…

High Energy Astrophysical Phenomena · Physics 2020-07-23 Kaze W. K. Wong , Ken K. Y. Ng , Emanuele Berti

Signal-to-noise ratios are a widely used concept for astroparticle radio detectors, such as air-shower radio arrays for cosmic-ray measurements or detectors searching for radio signals induced by neutrino interactions in ice. Nonetheless,…

Instrumentation and Methods for Astrophysics · Physics 2023-06-12 Frank G. Schröder , Amy L. Connolly , Tim Huege , Abdul Rehman

The Laser Interferometer Space Antenna (LISA) will explore the source-rich milli-Hertz band of the gravitational wave spectrum. In contrast to ground based detectors, where typical signals are short-lived and discrete, LISA signals are…

General Relativity and Quantum Cosmology · Physics 2018-08-09 Travis Robson , Neil Cornish

One of the most basic quantities relevant to planning observations and assessing detection bias is the signal-to-noise ratio (SNR). Remarkably, the SNR of an idealised radial velocity (RV) signal has not been previously derived beyond…

Earth and Planetary Astrophysics · Physics 2024-05-24 David Kipping , Xian-Yu Wang

We calculate the angular resolution of the planned LISA detector, a space-based laser interferometer for measuring low-frequency gravitational waves from galactic and extragalactic sources. LISA is not a pointed instrument; it is an all-sky…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Curt Cutler

We conduct an analysis of the measurement abilities of distinctive LISA detector designs, examining the influence of LISA's low-frequency performance on the detection and characterization of massive black hole binaries. We are particularly…

General Relativity and Quantum Cosmology · Physics 2019-03-07 Michael L. Katz , Shane L. Larson

We describe a simple framework to assess the LISA scientific performance (more specifically, its sensitivity and expected parameter-estimation precision for prescribed gravitational-wave signals) under the assumption of failure of one or…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Vallisneri , Jeff Crowder , Massimo Tinto

This Technical Note (LISA reference LISA-LCST-SGS-TN-001) describes the computation of the noise power spectral density, the sensitivity curve and the signal-to-noise ratio for LISA (Laser Interferometer Antenna). It is an applicable…

Instrumentation and Methods for Astrophysics · Physics 2021-08-04 Stanislav Babak , Martin Hewitson , Antoine Petiteau

We present a study of spectrum estimation of relic gravitational waves (RGWs) as a Gaussian stochastic background from output signals of future space-borne interferometers, like LISA and ASTROD. As the target of detection, the analytical…

General Relativity and Quantum Cosmology · Physics 2019-03-05 Bo Wang , Yang Zhang

In applications that involve sensor data, a useful measure of signal-to-noise ratio (SNR) is the ratio of the root-mean-squared (RMS) signal to the RMS sensor noise. The present paper shows that, for numerical differentiation, the…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Shashank Verma , Mohammad Almuhaihi , Dennis S. Bernstein

The millihertz gravitational-wave frequency band is expected to contain a rich symphony of signals with sources ranging from galactic white dwarf binaries to extreme mass ratio inspirals. Many of these gravitational-wave signals will not be…

Instrumentation and Methods for Astrophysics · Physics 2021-09-14 Sharan Banagiri , Alexander Criswell , Tommy Kuan , Vuk Mandic , Joseph D. Romano , Stephen R. Taylor

Ultracompact binaries with orbital periods less than a few hours will dominate the gravitational wave signal in the mHz regime. Until recently, 10 systems were expected have a predicted gravitational wave signal strong enough to be…

Solar and Stellar Astrophysics · Physics 2018-06-27 T. Kupfer , V. Korol , S. Shah , G. Nelemans , T. R. Marsh , G. Ramsay , P. J. Groot , D. T. H Steeghs , E. M. Rossi

A well-established method exists for predicting the detectability of solar-like oscillations and has been widely used to support target selection for space-based photometric missions. The method evaluates the probability of an asteroseismic…

Solar and Stellar Astrophysics · Physics 2026-03-11 Mikkel N. Lund , William J. Chaplin
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