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The recent advances in Gravitational-wave astronomy have greatly accelerated the study of Multimessenger astrophysics. There is a need for the development of fast and efficient algorithms to detect non-astrophysical transients and noises…

Signal Processing · Electrical Eng. & Systems 2020-09-28 Rahul Nigam , Amit Mishra , Pranath Reddy

Transient noise appearing in the data from gravitational-wave detectors frequently causes problems, such as instability of the detectors and overlapping or mimicking gravitational-wave signals. Because transient noise is considered to be…

A dedicated codec for compression of gravitational waves sound with high quality recovery is proposed. The performance is tested on the available set of gravitational sound signals that has been theoretically generated at the Massachusetts…

Signal Processing · Electrical Eng. & Systems 2018-06-06 Laura Rebollo-Neira

In this paper the authors describe the problem of acquisition of interfered signals and formulate a filtering problem. A frequency-selective compressed sensing technique is proposed as a solution to this problem. Signal acquisition is…

Information Theory · Computer Science 2015-01-19 Jacek Pierzchlewski , Thomas Arildsen

This note complements the paper "The quest for optimal sampling: Computationally efficient, structure-exploiting measurements for compressed sensing" [2]. Its purpose is to present a proof of a result stated therein concerning the recovery…

Functional Analysis · Mathematics 2014-06-17 Ben Adcock , Anders C. Hansen , Bogdan Roman

Existing coherent network analysis techniques for detecting gravitational-wave bursts simultaneously test data from multiple observatories for consistency with the expected properties of the signals. These techniques assume the output of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Shourov Chatterji , Albert Lazzarini , Leo Stein , Patrick Sutton , Antony Searle , Massimo Tinto

Compressed sensing allows for the recovery of sparse signals from few measurements, whose number is proportional to the sparsity of the unknown signal, up to logarithmic factors. The classical theory typically considers either random linear…

Functional Analysis · Mathematics 2025-04-02 Giovanni S. Alberti , Alessandro Felisi , Matteo Santacesaria , S. Ivan Trapasso

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

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

Spectroscopy sampling along delay time is typically performed with uniform delay spacing, which has to be low enough to satisfy the Nyquist-Shannon sampling theorem. The sampling theorem puts the lower bound for the sampling rate to ensure…

Chemical Physics · Physics 2025-03-04 Junyan Sun , Deran Zhang , Ziqian Cheng , Dazhi Xu , Hui Dong

Identifying the presence of a gravitational wave transient buried in non-stationary, non-Gaussian noise which can often contain spurious noise transients (glitches) is a very challenging task. For a given data set, transient gravitational…

General Relativity and Quantum Cosmology · Physics 2020-11-18 V. Gayathri , Dixeena Lopez , R. S. Pranjal , Ik Siong Heng , Archana Pai , Chris Messenger

We propose a tunable resonant sensor to detect gravitational waves in the frequency range of 50-300 kHz using optically trapped and cooled dielectric microspheres or micro-discs. The technique we describe can exceed the sensitivity of…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Asimina Arvanitaki , Andrew A. Geraci

Gravitational waves with frequencies below 1~nHz are notoriously difficult to detect. With periods exceeding current experimental lifetimes, they induce slow drifts in observables rather than periodic correlations. Observables with…

High Energy Astrophysical Phenomena · Physics 2024-03-12 William DeRocco , Jeff A. Dror

Compressed sensing is a method that allows a significant reduction in the number of samples required for accurate measurements in many applications in experimental sciences and engineering. In this work, we show that compressed sensing can…

Chemical Physics · Physics 2015-06-05 X. Andrade , J. N. Sanders , A. Aspuru-Guzik

This paper describes performance bounds for compressed sensing in the presence of Poisson noise when the underlying signal, a vector of Poisson intensities, is sparse or compressible (admits a sparse approximation). The signal-independent…

Information Theory · Computer Science 2009-04-30 Rebecca M. Willett , Maxim Raginsky

The goal of compressed sensing is to estimate a vector from an underdetermined system of noisy linear measurements, by making use of prior knowledge on the structure of vectors in the relevant domain. For almost all results in this…

Machine Learning · Statistics 2017-03-10 Ashish Bora , Ajil Jalal , Eric Price , Alexandros G. Dimakis

A common technique for detection of gravitational-wave signals is searching for excess power in frequency-time maps of gravitational-wave detector data. In the event of a detection, model selection and parameter estimation will be performed…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Michael Coughlin , Nelson Christensen , Jonathan Gair , Shivaraj Kandhasamy , Eric Thrane

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

This paper proposes a compressed sensing (CS) framework for the acquisition and reconstruction of frequency-sparse signals with chaotic dynamical systems. The sparse signal is acting as an excitation term of a discrete-time chaotic system…

Information Theory · Computer Science 2016-12-21 Zhong Liu , Shengyao Chen , Feng Xi

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