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We propose a nonlinear, wavelet based signal representation that is translation invariant and robust to both additive noise and random dilations. Motivated by the multi-reference alignment problem and generalizations thereof, we analyze the…

Signal Processing · Electrical Eng. & Systems 2020-07-14 Matthew Hirn , Anna Little

The presence of a massive body between the Earth and a gravitational-wave source will produce the so-called gravitational lensing effect. In the case of strong lensing, it leads to the observation of multiple deformed copies of the initial…

General Relativity and Quantum Cosmology · Physics 2024-11-20 Arthur Offermans , Tjonnie G. F. Li

We describe updates and improvements to the BayesWave gravitational wave transient analysis pipeline, and provide examples of how the algorithm is used to analyze data from ground-based gravitational wave detectors. BayesWave models…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Neil J. Cornish , Tyson B. Littenberg , Bence Bécsy , Katerina Chatziioannou , James A. Clark , Sudarshan Ghonge , Margaret Millhouse

A second generation of gravitational wave detectors will soon come online with the objective of measuring for the first time the tiny gravitational signal from the coalescence of black hole and/or neutron star binaries. In this…

Instrumentation and Methods for Astrophysics · Physics 2017-10-26 Eric Chassande-Mottin , Eric Lebigot , Hugo Magaldi , Eve Chase , Archana Pai , Gayathri V , Gabriele Vedovato

We develop a novel way to probe subgalactic-scale matter distribution with diffractive lensing on gravitational waves. Five-year observations from Einstein Telescope and DECIGO are expected to probe $k= 10^5\sim 10^8 \,{\rm Mpc}^{-1}$ down…

High Energy Physics - Phenomenology · Physics 2025-02-13 Sungjung Kim , Han Gil Choi , Sunghoon Jung

We investigate the class of quadratic detectors (i.e., the statistic is a bilinear function of the data) for the detection of poorly modeled gravitational transients of short duration. We point out that all such detection methods are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 E. Chassande-Mottin

The millihertz gravitational wave band is expected to be opened by space-borne detectors like TianQin. Various mechanisms can produce short outbursts of gravitational waves, whose actual waveform can be hard to model. In order to identify…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Zheng Wu , Hui-Min Fan , Yi-Ming Hu , Ik Siong Heng

Transient signals are often composed of a series of modes that have multivalued time-dependent instantaneous frequency (IF), which brings challenges to the development of signal processing technology. Fortunately, the group delay (GD) of…

Signal Processing · Electrical Eng. & Systems 2022-02-23 Haoran Dong , Gang Yu

A wavelet transform spectrum analyzer operating in real time within the frequency range 3X10^(-5) - 1.3X10^5 Hz has been implemented on a low-cost Digital Signal Processing board operating at 150MHz. The wavelet decomposition of the signal…

Statistical Mechanics · Physics 2009-11-07 Doriano Brogioli , Alberto Vailati

This article deals with the gravitational lensing (GL) of gravitational waves (GW). We compute the increase in the number of detected GW events due to GL. First, we check that geometrical optics is valid for the GW frequency range on which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Arnaud-Varvella , M. -C. Angonin , Ph. Tourrenc

Gravitational waves are radiative solutions of space-time dynamics predicted by Einstein's theory of General Relativity. A world-wide array of large-scale and highly sensitive interferometric detectors constantly scrutinizes the geometry of…

General Relativity and Quantum Cosmology · Physics 2019-08-15 Eric Chassande-Mottin

We discuss a fast cross-Wigner transform based technique for detecting gravitational wave bursts, and estimating the direction of arrival, using a network of (three) non co-located interferometric detectors. The performances of the detector…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Rocco P. Croce , Vincenzo Pierro , Fabio Postiglione , Maria Principe , Innocenzo M. Pinto

An observation of gravitational waves is a trigger of the multi-messenger search of an astronomical event. A combination of the data from two or three gravitational wave telescopes indicates the location of a source and low-latency data…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Seiya Sasaoka , Hirotaka Takahashi , Yilun Hou , Kentaro Somiya

Aims. The wavelet transform has been used as a powerful tool for treating several problems in astrophysics. In this work, we show that the time-frequency analysis of stellar light curves using the wavelet transform is a practical tool for…

Instrumentation and Methods for Astrophysics · Physics 2014-09-05 J. P. Bravo , S. Roque , R. Estrela , I. C. Leão , J. R. De Medeiros

As the sensitivity and observing time of gravitational-wave detectors increase, a more diverse range of signals is expected to be observed from a variety of sources. Especially, long-lived gravitational-wave transients have received…

Instrumentation and Methods for Astrophysics · Physics 2021-11-24 Adrian Macquet , Marie-Anne Bizouard , Nelson Christensen , Michael Coughlin

The LIGO-Virgo-KAGRA (LVK) network of gravitational-wave (GW) detectors have observed many tens of compact binary mergers to date. Transient, non-Gaussian noise excursions, known as "glitches", can impact signal detection in various ways.…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Neev Shah , Alan M. Knee , Jess McIver , David Stenning

In this paper we present a wavelet based algorithm that is able to detect superimposed periodic signals in data with low signal-noise ratio. In this context, the results given by classical period determination methods highly depend on the…

Astrophysics · Physics 2007-05-23 X. Otazu , M. Ribo , M. Peracaula , J. M. Paredes , J. Nunez

When gravitational waves pass near a gravitating object, they are deflected, or lensed. If the object is massive, such that the wavelength of the waves is small compared to its gravitational size, lensed gravitational wave events can be…

General Relativity and Quantum Cosmology · Physics 2024-03-22 Mark Ho-Yeuk Cheung , Ken K. Y. Ng , Miguel Zumalacárregui , Emanuele Berti

The detection of quasi-periodic sources of gravitational waves requires the accumulation of signal-to-noise over long observation times. If not removed, Earth-motion induced Doppler modulations, and intrinsic variations of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Patrick R Brady , Teviet Creighton

Real-time noise regression algorithms are crucial for maximizing the science outcomes of the LIGO, Virgo, and KAGRA gravitational-wave detectors. This includes improvements in the detectability, source localization and pre-merger…