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The analysis of how a stochastic background of gravitational radiation interacts with a spherical detector is given in detail, which leads to explicit expressions for the system response functions, as well as for the cross-correlation…

General Relativity and Quantum Cosmology · Physics 2022-05-04 J. Alberto Lobo , Alvaro Montero

Autonomous hazard detection and avoidance is a key technology for future landing missions in unknown surface conditions. Current state-of-the-art stochastic algorithms assume simple Gaussian measurement noise on dense, high-fidelity digital…

Robotics · Computer Science 2023-05-09 Kento Tomita , Koki Ho

The estimation of non-Gaussian measurement noise models is a significant challenge across various fields. In practical applications, it often faces challenges due to the large number of parameters and high computational complexity. This…

Systems and Control · Electrical Eng. & Systems 2023-09-25 Zuxuan Zhang , Gang Wang , Jiacheng He , Shan Zhong

This paper describes computationally efficient approaches and associated theoretical performance guarantees for the detection of known targets and anomalies from few projection measurements of the underlying signals. The proposed approaches…

Statistics Theory · Mathematics 2015-06-03 Kalyani Krishnamurthy , Rebecca Willett , Maxim Raginsky

We develop a novel method for detection of signals and reconstruction of images in the presence of random noise. The method uses results from percolation theory. We specifically address the problem of detection of multiple objects of…

Applications · Statistics 2013-12-02 Mikhail Langovoy , Michael Habeck , Bernhard Schölkopf

Continuous gravitational waves represent one of the long-sought types of signals that have yet to be detected. Due to their small amplitude, long observational datasets (months-years) have to be analyzed together, thereby vastly increasing…

General Relativity and Quantum Cosmology · Physics 2022-06-22 P. B. Covas , R. Prix

This paper presents a novel Bayesian strategy for the estimation of smooth signals corrupted by Gaussian noise. The method assumes a smooth evolution of a succession of continuous signals that can have a numerical or an analytical…

Applications · Statistics 2016-02-12 Abderrahim Halimi , Gerald S. Buller , Steve McLaughlin , Paul Honeine

Detecting stochastic gravitational wave background (SGWB) from cosmic strings is crucial for unveiling the evolutionary laws of the early universe and validating non-standard cosmological models. This study presents the first systematic…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-18 Geng-Chen Wang , Hong-Bo Jin , Xin Zhang

Gravitational wave (GW) observations probe both a diffuse, stochastic gravitational wave background (SGWB) as well as individual cataclysmic events such as the merger of two compact objects. The detection and description of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-28 Eleanor Gleave , Andrew Jaffe

Understanding and dealing with inference biases in gravitational-wave (GW) parameter estimation when a plethora of signals are present in the data is one of the key challenges for the analysis of data from future GW detectors. Working…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Andrea Antonelli , Ollie Burke , Jonathan R. Gair

This paper presents a novel method for fault detection in vibration/acoustic signals contaminated with non-Gaussian noise, specifically addressing the challenge of random impulsive and wideband disturbances in industrial measurements. While…

Signal Processing · Electrical Eng. & Systems 2025-02-18 A Drewnicka , A Michalak , R Zimroz , A Kumar , A Wyłomańska , J Wodecki

The analysis of data from gravitational wave detectors can be divided into three phases: search, characterization, and evaluation. The evaluation of the detection - determining whether a candidate event is astrophysical in origin or some…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Tyson B. Littenberg , Neil J. Cornish

Estimation of a dynamical system's latent state subject to sensor noise and model inaccuracies remains a critical yet difficult problem in robotics. While Kalman filters provide the optimal solution in the least squared sense for linear and…

Robotics · Computer Science 2022-02-10 Fahira Afzal Maken , Fabio Ramos , Lionel Ott

Any measurement in condition monitoring applications is associated with disturbing noise. Till now, most of the diagnostic procedures have assumed the Gaussian distribution for the noise. This paper shares a novel perspective to the problem…

Data from a network of gravitational wave detectors can be analyzed in coincidence to increase detection confidence and reduce non-stationarity of the background. We propose and explore a geometric algorithm to combine the data from a…

General Relativity and Quantum Cosmology · Physics 2009-02-20 C. A. K. Robinson , B. S. Sathyaprakash , Anand S. Sengupta

In fiber-optic distributed sensing, vibration signals are mostly assumed to follow Gaussian distribution for the simplicity of signal processing. However, in real applications, vibration signals often behave as non-Gaussian processes, which…

Signal Processing · Electrical Eng. & Systems 2019-01-18 Qian He , Rong Liu , Chengdan Tan , Lijun Tang , Xiongjun Shang

We present new, original and alternative method for searching signals coded in noisy data. The method is based on the properties of random matrix eigenvalue spectra. First, we describe general ideas and support them with results of…

Data Analysis, Statistics and Probability · Physics 2015-05-28 D. Grech , J. Miskiewicz

Gravitational wave detectors now under construction are sensitive to the phase of the incident gravitational waves. Correspondingly, the signals from the different detectors can be combined, in the analysis, to simulate a single detector of…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Lee Samuel Finn

We consider the Bayesian detection statistic for a targeted search for continuous gravitational waves, known as the $\mathcal{B}$-statistic. This is a Bayes factor between signal and noise hypotheses, produced by marginalizing over the four…

General Relativity and Quantum Cosmology · Physics 2018-12-19 John J. Bero , John T. Whelan

The data analysis problem of coherently searching for unmodeled gravitational-wave bursts in the data generated by a global network of gravitational-wave observatories has been at the center of research for almost two decades. As data from…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Antony C. Searle , Patrick J. Sutton , Massimo Tinto