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We consider a statistical problem of detection of a signal with unknown energy in a multi-channel system, observed in a Gaussian noise. We assume that the signal can appear in the $k$-th channel with a known small prior probability…

Statistics Theory · Mathematics 2017-12-19 Evgeny Burnaev , Georgy Golubev

The potential of compressed sensing for obtaining sparse time-frequency representations for gravitational wave data analysis is illustrated by comparison with existing methods, as regards i) shedding light on the fine structure of noise…

Instrumentation and Methods for Astrophysics · Physics 2016-05-16 Paolo Addesso , Maurizio Longo , Stefano Marano , Vincenzo Matta , Maria Principe , Innocenzo M. Pinto

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 yet undetected class of GW signals is represented by the close encounters between compact objects in highly-eccentric e~1 orbits, that can occur in binary systems formed in dense environments such as globular clusters. The expected…

General Relativity and Quantum Cosmology · Physics 2025-09-26 Federico De Santi , Massimiliano Razzano , Francesco Fidecaro , Luca Muccillo , Lucia Papalini , Barbara Patricelli

We use white Gaussian noise as a test signal for single-mode and multimode transmission links and estimate the link capacity based on a calculation of mutual information. We also extract the complex amplitude channel estimations and…

The recent completion of Advanced LIGO suggests that gravitational waves (GWs) may soon be directly observed. Past searches for gravitational-wave transients have been impacted by transient noise artifacts, known as glitches, introduced…

Instrumentation and Methods for Astrophysics · Physics 2016-01-27 Jonah B. Kanner , Tyson B. Littenberg , Neil Cornish , Meg Millhouse , Enia Xhakaj , Francesco Salemi , Marco Drago , Gabriele Vedovato , Sergey Klimenko

We report on the construction of a deep convolutional neural network that can reproduce the sensitivity of a matched-filtering search for binary black hole gravitational-wave signals. The standard method for the detection of well modeled…

Instrumentation and Methods for Astrophysics · Physics 2018-04-11 Hunter Gabbard , Michael Williams , Fergus Hayes , Chris Messenger

Physics beyond the Standard Model may give rise to first-order phase transitions proceeding via the nucleation of vacuum bubbles, whose subsequent collisions generate gravitational waves (GWs). Their detection would open the possibility of…

High Energy Physics - Phenomenology · Physics 2025-12-03 Katarina Trailović

Gravitational waves (GWs) may be produced by various mechanisms in the early universe. In particular, if parity is violated, it may lead to the production of parity-violating GWs. In this paper, we focus on GWs on the scale of the…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-18 Teppei Okumura , Misao Sasaki

We describe the extension to multiple datasets of a coherent method for the search of continuous gravitational wave signals, based on the computation of 5-vectors. In particular, we show how to coherently combine different datasets…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Pia Astone , Alberto Colla , Sabrina D'Antonio , Sergio Frasca , Cristiano Palomba

We introduce a "loosely coherent" method for detection of continuous gravitational waves that bridges the gap between semi-coherent and purely coherent methods. Explicit control over accepted families of signals is used to increase…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Vladimir Dergachev

It is expected that gravitational waves, similar to electromagnetic waves, can be gravitationally lensed by intervening matters, producing multiple instances of the same signal arriving at different times from different apparent luminosity…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Rico K. L. Lo , Ignacio Magana Hernandez

Once upon a time, predictions for the accuracy of inference on gravitational-wave signals relied on computationally inexpensive but often inaccurate techniques. Recently, the approach has shifted to actual inference on noisy signals with…

Instrumentation and Methods for Astrophysics · Physics 2015-12-09 Carl-Johan Haster , Ilya Mandel , Will M. Farr

The usual interpretation of noise is represented by a sum of many independent two-level elementary random signals with a distribution of relaxation times. In this paper it is demonstrated that also the superposition of many similar…

Data Analysis, Statistics and Probability · Physics 2007-08-24 Giovanni Zanella

We present a formulation of observed number density fluctuations of gravitational-wave (GW) sources in a three dimensional space. In GW observations, redshift identification for each GW source is a challenging issue, in particular, for high…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Toshiya Namikawa

There are a number of theoretical predictions for astrophysical and cosmological objects, which emit high frequency ($10^6-10^9$~Hz) Gravitation Waves (GW) or contribute somehow to the stochastic high frequency GW background. Here we…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Maxim Goryachev , Michael E. Tobar

While measurement advances now allow extensive surveys of gene activity (large numbers of genes across many samples), interpretation of these data is often confounded by noise -- expression counts can differ strongly across samples due to…

We present a theoretical background for the data analysis of the gravitational-wave signals from spinning neutron stars for Earth-based laser interferometric detectors. We introduce a detailed model of the signal including both the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Piotr Jaranowski , Andrzej Królak , Bernard F. Schutz

This chapter is concerned with the question: how do gravitational waves (GWs) interact with their detectors? It is intended to be a theory review of the fundamental concepts involved in interferometric and acoustic (Weber bar) GW antennas.…

General Relativity and Quantum Cosmology · Physics 2022-09-21 J. Alberto Lobo

Gravitational wave (GW) astrophysics is entering a multi-band era with upcoming GW detectors, enabling detailed mapping of the stochastic GW background across vast frequencies. We highlight this potential via a new physics scenario: hybrid…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Yunjia Bao , Tore Boybeyi , Vuk Mandic , Lian-Tao Wang