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We investigate the application of the singular value decomposition to compact-binary, gravitational-wave data-analysis. We find that the truncated singular value decomposition reduces the number of filters required to analyze a given region…

General Relativity and Quantum Cosmology · Physics 2010-09-13 Kipp Cannon , Adrian Chapman , Chad Hanna , Drew Keppel , Antony C. Searle , Alan J. Weinstein

Compact binary systems with total masses between tens and hundreds of solar masses will produce gravitational waves during their merger phase that are detectable by second-generation ground-based gravitational-wave detectors. In order to…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kipp Cannon , Chad Hanna , Drew Keppel

The detection of gravitational waves from compact binaries relies on a computationally burdensome processing of gravitational-wave detector data. The parameter space of compact-binary-coalescence gravitational waves is large and optimal…

Data Analysis, Statistics and Probability · Physics 2011-05-12 Kipp Cannon , Chad Hanna , Drew Keppel , Antony C. Searle

Singular-value decomposition is a powerful technique that has been used in the analysis of matrices in many fields. In this paper, we summarize how it has been applied to the analysis of gravitational-wave data. These include producing…

Data Analysis, Statistics and Probability · Physics 2015-06-03 Drew Keppel

Matched-filtering for the identification of compact object mergers in gravitational-wave antenna data involves the comparison of the data stream to a bank of template gravitational waveforms. Typically the template bank is constructed from…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kipp Cannon , J. D. Emberson , Chad Hanna , Drew Keppel , Harald Pfeiffer

Gravitational waves from coalescing compact binaries are searched using the matched filtering technique. As the model waveform depends on a number of parameters, it is necessary to filter the data through a template bank covering the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Babak , R. Balasubramanian , D. Churches , T. Cokelaer , B. S. Sathyaprakash

The most sensitive search pipelines for gravitational waves from compact binary mergers use matched filters to extract signals from the noisy data stream coming from gravitational wave detectors. Matched-filter searches require banks of…

We introduce an algorithm for placing template waveforms for the search of compact binary mergers in gravitational wave interferometer data. We exploit the smooth dependence of the amplitude and unwrapped phase of the frequency-domain…

Instrumentation and Methods for Astrophysics · Physics 2019-07-03 Javier Roulet , Liang Dai , Tejaswi Venumadhav , Barak Zackay , Matias Zaldarriaga

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

Accurate parameter estimation of gravitational waves from coalescing compact binary sources is a key requirement for gravitational-wave astronomy. Evaluating the posterior probability density function of the binary's parameters (component…

High Energy Astrophysical Phenomena · Physics 2015-06-12 R. J. E. Smith , K. Cannon , C. Hanna , D. Keppel , I. Mandel

Gravitational-wave signals from compact binary coalescences are most efficiently identified through matched filter searches, which match the data against a pre-generated bank of gravitational-wave templates. Although different techniques…

General Relativity and Quantum Cosmology · Physics 2023-03-31 Connor McIsaac , Charlie Hoy , Ian Harry

We study whether binary black hole template banks can be used to search for the gravitational waves emitted by general binary coalescences. To recover binary signals from noisy data, matched-filtering techniques are typically required. This…

High Energy Astrophysical Phenomena · Physics 2020-12-16 Horng Sheng Chia , Thomas D. P. Edwards

Recent discoveries of gravitational wave (GW) signals from astrophysical compact binary systems of neutron stars and black holes have firmly established them as prime sources for advanced GW detectors. Theoretical templates of expected…

General Relativity and Quantum Cosmology · Physics 2019-02-04 Soumen Roy , Anand S. Sengupta , Parameswaran Ajith

Matched filtering is used to search for gravitational waves emitted by inspiralling compact binaries in data from the ground-based interferometers. One of the key aspects of the detection process is the design of a template bank that covers…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Cokelaer

Gravitational-wave searches for signals from inspiralling compact binaries have relied on matched filtering banks of waveforms (called template banks) to try to extract the signal waveforms from the detector data. These template banks have…

Data Analysis, Statistics and Probability · Physics 2013-06-12 Drew Keppel

Astrophysical compact binary systems consisting of neutron stars and blackholes are an important class of gravitational wave (GW) sources for advanced LIGO detectors. Accurate theoretical waveform models from the inspiral, merger and…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Soumen Roy , Anand S. Sengupta , Nilay Thakor

We demonstrate a new geometric method for fast template placement for searches for gravitational waves from the inspiral, merger and ringdown of compact binaries. The method is based on a binary tree decomposition of the template bank…

Gravitational wave searches rely on a combination of methods, including matched filtering, coherent analyses, and more recent machine learning based pipelines. For compact binary coalescences, where signals originate from the relativistic…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Lorenzo Mobilia , Tito Dal Canton , Gianluca Maria Guidi

Gravitational wave searches are crucial for studying compact sources like neutron stars and black holes. Many sensitive modeled searches use matched filtering to compare gravitational strain data to a set of waveform models known as…

High Energy Astrophysical Phenomena · Physics 2024-11-18 Keisi Kacanja , Alexander H. Nitz , Shichao Wu , Marco Cusinato , Rahul Dhurkunde , Ian Harry , Tito Dal Canton , Francesco Pannarale

Decomposing discrete signals such as images into components is vital in many applications, and this paper propose a framework to produce filtering banks to accomplish this task. The framework is an equation set which is ill-posed, and thus…

Image and Video Processing · Electrical Eng. & Systems 2018-04-05 Yiguang Liu
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