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Using simple, intuitive arguments, we discuss the expected accuracy with which astrophysical parameters can be extracted from an observed gravitational wave signal. The observation of a chirp like signal in the data allows for measurement…

General Relativity and Quantum Cosmology · Physics 2023-09-18 Stephen Fairhurst , Charlie Hoy , Rhys Green , Cameron Mills , Samantha A. Usman

We introduce an algorithm to marginalize the likelihood for a gravitational wave signal from a quasi-circular binary merger over its extrinsic parameters, accounting for the effects of higher harmonics and spin-induced precession. The…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Javier Roulet , Jonathan Mushkin , Digvijay Wadekar , Tejaswi Venumadhav , Barak Zackay , Matias Zaldarriaga

Owing to the forecasted improved sensitivity of ground-based gravitational-wave detectors, new research avenues will become accessible. This is the case for gravitational-wave strong lensing, predicted with a non-negligible observation rate…

General Relativity and Quantum Cosmology · Physics 2023-10-18 Justin Janquart , K. Haris , Otto A. Hannuksela , Chris Van Den Broeck

Extended sources of the stochastic gravitational backgrounds have been conventionally searched on the spherical harmonics bases. The analysis during the previous observing runs by the ground-based gravitational wave detectors, such LIGO and…

Instrumentation and Methods for Astrophysics · Physics 2023-02-08 Leo Tsukada , Santiago Jaraba , Deepali Agarwal , Erik Floden

First, for each case to be tested, a specific target inspiral signal is selected for parameter extraction. In a future real analysis, the target signal would be a real signal actually observed by a gravitational wave detector such as LISA.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James S. Graber

Many modern data analysis algorithms either assume that or are considerably more efficient if the distances between the data points satisfy a metric. These algorithms include metric learning, clustering, and dimensionality reduction.…

Data Structures and Algorithms · Computer Science 2018-07-23 Anna C. Gilbert , Rishi Sonthalia

We report the construction of a three-dimensional template bank for the search for gravitational waves from inspiralling binaries consisting of spinning compact objects. The parameter space consists of two dimensions describing the mass…

General Relativity and Quantum Cosmology · Physics 2014-05-22 P. Ajith , N. Fotopoulos , S. Privitera , A. Neunzert , N. Mazumder , A. J. Weinstein

Magnetar vibrational modes are theorized to be associated with energetic X-ray flares. Regular searches for gravitational waves from these modes have been performed by Advanced LIGO and Advanced Virgo, with no detections so far. Presently,…

High Energy Astrophysical Phenomena · Physics 2023-10-25 Matthew Ball , Raymond Frey , Kara Merfeld

Bayesian inference is used to extract unknown parameters from gravitational wave signals. Detector noise is typically modelled as stationary, although data from the LIGO and Virgo detectors is not stationary. We demonstrate that the…

Instrumentation and Methods for Astrophysics · Physics 2021-07-13 O Edy , A. Lundgren , L. K. Nuttall

Power-law noises abound in nature and have been observed extensively in both time series and spatially varying environmental parameters. Although, recent years have seen the extension of traditional stochastic partial differential equations…

Computation · Statistics 2014-10-20 Hans-Werner van Wyk , Max Gunzburger , John Burkardt , Miroslav Stoyanov

We investigate methods to estimate the parameters of the gravitational-wave signal from a spinning neutron star using Fourier transformed segments of the strain response from an interferometric detector. Estimating the parameters from the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gregory Mendell , Karl Wette

Time series analysis from gravitational-wave detectors often relies on the assumption that time chunks, or frequency bins, are uncorrelated. We discuss the validity of this approximation in the context of searches for stochastic…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Quentin Baghi , Nikolaos Karnesis , Jean-Baptiste Bayle

Most all-sky searches for continuous gravitational waves assume the source to be isolated. In this paper, we allow for an unknown companion object in a long-period orbit and opportunistically use previous results from an all-sky search for…

General Relativity and Quantum Cosmology · Physics 2023-03-24 Avneet Singh , Maria Alessandra Papa

Covariance parameter estimation of Gaussian processes is analyzed in an asymptotic framework. The spatial sampling is a randomly perturbed regular grid and its deviation from the perfect regular grid is controlled by a single scalar…

Statistics Theory · Mathematics 2014-12-09 François Bachoc

Glitches represent a category of non-Gaussian and transient noise that frequently intersects with gravitational wave (GW) signals, exerting a notable impact on the processing of GW data. The inference of GW parameters, crucial for GW…

General Relativity and Quantum Cosmology · Physics 2024-03-15 Tian-Yang Sun , Chun-Yu Xiong , Shang-Jie Jin , Yu-Xin Wang , Jing-Fei Zhang , Xin Zhang

In this paper we study the use of cross-correlations between multiple gravitational wave (GW) data streams for detecting long-lived periodic signals. Cross-correlation searches between data from multiple detectors have traditionally been…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sanjeev Dhurandhar , Badri Krishnan , Himan Mukhopadhyay , John T. Whelan

The phase evolution of gravitational waves encodes critical information about the orbital dynamics of binary systems. In this work, we test the robustness of parameterized tests against unmodeled deviations from general relativity. We…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Brian C. Seymour , Jacob Golomb , Yanbei Chen

Globally, Pulsar Timing Array (PTA) experiments have revealed evidence supporting an existing gravitational wave background (GWB) signal in the PTA data set. Apart from acquiring more observations, the sensitivity of PTA experiments can be…

Instrumentation and Methods for Astrophysics · Physics 2025-04-03 El Mehdi Zahraoui , Patricio Maturana-Russel , Willem van Straten , Renate Meyer , Sergei Gulyaev

Accurately estimating the statistical properties of noise is important in data analysis for space-based gravitational wave detectors. Noise in different time-delay interferometry channels correlates with each other. Many studies often…

Instrumentation and Methods for Astrophysics · Physics 2025-06-18 Ya-Nan Li , Yi-Ming Hu , En-Kun Li

Detection of gravitational waves (GW) from compact binary mergers provide a new window into multi-messenger astrophysics. The standard technique to determine the merger parameters is matched filtering, consisting in comparing the signal to…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Juan Pablo Marulanda , Camilo Santa , Antonio Enea Romano