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We analyze the gravitational wave signals with a model-independent time-frequency analysis, which is improved from the Hilbert-Huang transform (HHT) and optimized for characterizing the frequency variability on the time-frequency map.…

High Energy Astrophysical Phenomena · Physics 2022-08-31 Chin-Ping Hu , Lupin Chun-Che Lin , Kuo-Chuan Pan , Kwan-Lok Li , Chien-Chang Yen , Albert K. H. Kong , C. Y. Hui

We present the application of a novel method of time-series analysis, the Hilbert-Huang Transform, to the search for gravitational waves. This algorithm is adaptive and does not impose a basis set on the data, and thus the time-frequency…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jordan B. Camp , John K. Cannizzo , Kenji Numata

The Hilbert-Huang transform (HHT) consists of empirical mode decomposition (EMD), which is a template-free method that represents the combination of different intrinsic modes on a time-frequency map (i.e., the Hilbert spectrum). The…

Instrumentation and Methods for Astrophysics · Physics 2025-06-05 Lupin Chun-Che Lin , Chin-Ping Hu , Chien-Chang Yen , Kuo-Chuan Pan , C. Y. Hui , Kwan-Lok Li , Yu-Chiung Lin , Yi-Sheng Huang , Albert K. H. Kong

The Hilbert-Huang transform (HHT) is a novel, adaptive approach to time series analysis. It does not impose a basis set on the data or otherwise make assumptions about the data form, and so the time--frequency decomposition is not limited…

General Relativity and Quantum Cosmology · Physics 2013-06-26 Hirotaka Takahashi , Ken-ichi Oohara , Masato Kaneyama , Yuta Hiranuma , Jordan B Camp

Detecting gravitational wave bursts (characterised by short durations and poorly modelled waveforms) requires to have coincidences between several interferometric detectors in order to reject non-stationary noise events. As the wave…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nicolas Arnaud , Matteo Barsuglia , Marie-Anne Bizouard , Philippe Canitrot , Fabien Cavalier , Michel Davier , Patrice Hello , Thierry Pradier

Detection systems rely more and more on on-line or off-line comparison of detected signals with basis signals in order to determine the characteristics of the impinging particles. Unfortunately, these comparisons are very sensitive to the…

Nuclear Experiment · Physics 2009-06-16 P. Desesquelles , T. M. H. Ha , A. Korichi , F. Le Blanc , A. Olariu , C. M. Petrache

The Hilbert-Huang Transform is a novel, adaptive approach to time series analysis that does not make assumptions about the data form. Its adaptive, local character allows the decomposition of non-stationary signals with hightime-frequency…

Data Analysis, Statistics and Probability · Physics 2010-04-22 Alexander Stroeer , John K. Cannizzo , Jordan B. Camp , Nicolas Gagarin

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

This paper describes an incoherent method to search for continuous gravitational waves based on the Hough transform, a well known technique used for detecting patterns in digital images. We apply the Hough transform to detect patterns in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Badri Krishnan , Alicia M. Sintes , M. A. Papa , Bernard F. Schutz , Sergio Frasca , Cristiano Palomba

Data from gravitational wave detectors are recorded as time series that include contributions from myriad noise sources in addition to any gravitational wave signals. When regularly sampled data are available, such as for ground based and…

General Relativity and Quantum Cosmology · Physics 2020-12-23 Neil J. Cornish

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

In the analysis of empirical signals, detecting correlations that capture genuine interactions between the elements of a complex system is a challenging task with applications across disciplines. Here we analyze a global data set of surface…

Atmospheric and Oceanic Physics · Physics 2020-02-12 Dario A. Zappala , Marcelo Barreiro , Cristina Masoller

Electromagnetic methods recently proposed for detecting gravitational waves modify the Michelson phase shift analysis (historically employed for special relativity). We suggest that a frequency modulation analysis is more suited to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Sivasubramanian , Y. N. Srivastava , A. Widom

The experimental possibility of detecting gravitational waves via their induced time perturbations is explored here, expanding from previous work. The oscillations of the time-time component in the metric are made explicit when working in…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Stefano Bondani , Sergio Luigi Cacciatori

Hilbert-Huang Transform (HHT) is a novel data analysis technique for nonlinear and non-stationary data. We present a time-frequency analysis of both simulated light curves and an X-ray burst from the X-ray burster 4U 1702-429 with both the…

Astrophysics · Physics 2009-11-11 D. Han , S. N. Zhang

We describe a new method for extracting gravitational wave signals from pulsar timing data. We show that any gravitational wave signal can be decomposed into an orthogonal set of sky maps, with the number of maps equal to the number of…

General Relativity and Quantum Cosmology · Physics 2014-06-20 Neil J. Cornish , Rutger van Haasteren

We present a time-frequency method to detect gravitational wave signals in interferometric data. This robust method can detect signals from poorly modeled and unmodeled sources. We evaluate the method on simulated data containing noise and…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Warren G. Anderson , R. Balasubramanian

We propose a new detection method for gravitational wave bursts. It analyzes observed data with the Hilbert-Huang transform, which is an approach of time-frequency analysis constructed with the aim of manipulating non-linear and…

Instrumentation and Methods for Astrophysics · Physics 2016-06-14 Kazuki Sakai , Ken-ichi Oohara , Masato Kaneyama , Hirotaka Takahashi

We study an improved method for detecting gravitational wave (GW) signals from perturbed black holes by earth-based detectors in the quest for searching for intermediate-mass black holes (IMBHs). Such signals, called ringdowns, are damped…

General Relativity and Quantum Cosmology · Physics 2013-12-16 Dipongkar Talukder , Sukanta Bose , Sarah Caudill , Paul T. Baker

The problem to estimate the background due to accidental coincidences in the search for coincidences in gravitational wave experiments is discussed. The use of delayed coincidences obtained by orderly shifting the event times of one of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. Astone , S. Frasca , G. Pizzella
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