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Pulsar timing experiments are reaching sufficient sensitivity to detect a postulated stochastic gravitational wave background generated by merging supermassive black hole systems in the cores of galaxies. We describe the techniques behind…

Astrophysics · Physics 2009-06-23 G. Hobbs

In independent component analysis it is assumed that the observed random variables are linear combinations of latent, mutually independent random variables called the independent components. Our model further assumes that only the…

Statistics Theory · Mathematics 2016-12-19 Joni Virta , Klaus Nordhausen , Hannu Oja

Fault detection is crucial to ensure the reliability of navigation systems. However, mainstream fault detection methods are developed based on Gaussian assumptions on nominal errors, while current attempts at non-Gaussian fault detection…

Signal Processing · Electrical Eng. & Systems 2026-01-01 Penggao Yan , Baoshan Song , Xiao Xia , Weisong Wen , Li-Ta Hsu

The standard multidetector F-statistic for continuous gravitational waves is susceptible to false alarms from instrumental artifacts, for example monochromatic sinusoidal disturbances ('lines'). This vulnerability to line artifacts arises…

General Relativity and Quantum Cosmology · Physics 2015-01-19 David Keitel , Reinhard Prix , Maria Alessandra Papa , Paola Leaci , Maham Siddiqi

We review detection methods that are currently in use or have been proposed to search for a stochastic background of gravitational radiation. We consider both Bayesian and frequentist searches using ground-based and space-based laser…

General Relativity and Quantum Cosmology · Physics 2017-04-11 Joseph D. Romano , Neil J. Cornish

We investigate the performance of the Neyman-Pearson detection of a stationary Gaussian process in noise, using a large wireless sensor network (WSN). In our model, each sensor compresses its observation sequence using a linear precoder.…

Information Theory · Computer Science 2010-01-27 Pascal Bianchi , Jeremie Jakubowicz , Francois Roueff

A central challenge in Gravitational Wave Astronomy is identifying weak signals in the presence of non-stationary and non-Gaussian noise. The separation of gravitational wave signals from noise requires good models for both. When accurate…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Neil J. Cornish , Tyson B. Littenberg

Studying the properties of stochastic noise to optimize complex non-convex functions has been an active area of research in the field of machine learning. Prior work has shown that the noise of stochastic gradient descent improves…

Optimization and Control · Mathematics 2022-09-20 Aurelien Lucchi , Frank Proske , Antonio Orvieto , Francis Bach , Hans Kersting

The detection of stochastic gravitational wave background (SGWB) is among the leading scientific goals of the space-borne gravitational wave observatory, which would have significant impact on astrophysics and fundamental physics. In this…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Jun Cheng , En-Kun Li , Yi-Ming Hu , Zheng-Cheng Liang , Jian-dong Zhang , Jianwei Mei

A gravitational-wave background can be detected in pulsar-timing-array data as Hellings--Downs correlations among the timing residuals measured for different pulsars. The optimal statistic implements this concept as a classical…

High Energy Astrophysical Phenomena · Physics 2024-02-14 Michele Vallisneri , Patrick M. Meyers , Katerina Chatziioannou , Alvin J. K. Chua

Crosscorrelation of the outputs of two Gravitational Wave (GW) detectors has recently been proposed [1] as a method for detecting statistical association between GWs and Gamma Ray Bursts (GRBs). Unfortunately, the method can be effectively…

Astrophysics · Physics 2009-11-07 G. Modestino , A. Moleti

We investigate the Bayesian framework for detection of continuous gravitational waves (GWs) in the context of targeted searches, where the phase evolution of the GW signal is assumed to be known, while the four amplitude parameters are…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Reinhard Prix , Badri Krishnan

This paper considers the general signal detection and parameter estimation problem in the presence of colored Gaussian noise disturbance. By modeling the disturbance with an autoregressive process, we present three signal detectors with…

Data Analysis, Statistics and Probability · Physics 2016-07-29 Bo Tang , Haibo He , Steven Kay

A new experiment for the gravitational waves (GWs) detection is proposed. It is indeed shown that the effect of GWs on sound waves (SWs) in a fluid is that GWs vary the pressure of the fluid by crossing it. This variation can be found by…

General Physics · Physics 2021-11-24 Basem Ghayour , Jafar Khodagholizadeh , Christian Corda , Ming-Lei Tong , Ali Ghayour

Astrometry, the precise measurement of star motions, offers an alternative avenue to investigate low-frequency gravitational waves through the spatial deflection of photons, complementing pulsar timing arrays reliant on timing residuals.…

General Relativity and Quantum Cosmology · Physics 2024-05-06 Mesut Çalışkan , Yifan Chen , Liang Dai , Neha Anil Kumar , Isak Stomberg , Xiao Xue

Performance guarantees for compression in nonlinear models under non-Gaussian observations can be achieved through the use of distributional characteristics that are sensitive to the distance to normality, and which in particular return the…

Statistics Theory · Mathematics 2017-10-03 Larry Goldstein , Xiaohan Wei

Analyzing the records of Advanced LIGO and Virgo gravitational observatories, we found a permanent time-domain asymmetry inherent only to the signals of their gravitational detectors. Experiments with different periodic signals, Gaussian…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Alexander V. Kramarenko , Andrey V. Kramarenko

We estimate the signal-to-noise ratio for two gravitational detectors interacting with a stochastic background of massive scalar waves. We find that the present experimental level of sensitivity could be already enough to detect a signal…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Gasperini

Precision timing of highly stable milli-second pulsars is a promising technique for the detection of very low frequency sources of gravitational waves. In any single pulsar, a stochastic gravitational wave signal appears as an additional…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Neil J. Cornish , Laura M. Sampson

Gravitational wave burst is a catch-all category for signals whose durations are shorter than the observation period. We apply a method new to gravitational wave data analysis --- Bayesian non-parameterics --- to the problem of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Xihao Deng
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