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The stochastic gravitational-wave background (SGWB) is expected to arise from the superposition of many independent and unresolved gravitational-wave signals of either cosmological or astrophysical origin. The spectral content of the SGWB…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-27 Vuk Mandic , Eric Thrane , Stefanos Giampanis , Tania Regimbau

The millihertz gravitational-wave frequency band is expected to contain a rich symphony of signals with sources ranging from galactic white dwarf binaries to extreme mass ratio inspirals. Many of these gravitational-wave signals will not be…

Instrumentation and Methods for Astrophysics · Physics 2021-09-14 Sharan Banagiri , Alexander Criswell , Tommy Kuan , Vuk Mandic , Joseph D. Romano , Stephen R. Taylor

Pulsar timing arrays' hint for a stochastic gravitational-wave background (SGWB) leverages the expectations of a future detection in the millihertz band, particularly with the LISA space mission. However, finding an SGWB with a single…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Nikolaos Karnesis , Quentin Baghi , Jean-Baptiste Bayle , Nikiforos Galanis

We revisit the recently proposed ``self-Wiener" (SW) filtering method for robust deconvolution, and generalize it to the classical denoising problem. The resulting estimator, termed generalized SW (GSW) filtering, retains the nonlinear…

Signal Processing · Electrical Eng. & Systems 2026-03-31 Amir Weiss

Because of the small strain amplitudes of gravitational-wave (GW) signals, unveiling them in the presence of detector/environmental noise is challenging. For visualizing the signals and extracting its waveform for a comparison with…

High Energy Astrophysical Phenomena · Physics 2024-04-09 Sangin Kim , C. Y. Hui , Jianqi Yan , Alex P. Leung , Kwangmin Oh , A. K. H. Kong , L. C. -C. Lin , Kwan-Lok Li

The standard noise model in gravitational wave (GW) data analysis assumes detector noise is stationary and Gaussian distributed, with a known power spectral density (PSD) that is usually estimated using clean off-source data. Real GW data…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Matthew C. Edwards , Renate Meyer , Nelson Christensen

Gravitational wave (GW) detection is of paramount importance in fundamental physics and GW astronomy, yet it presents formidable challenges. One significant challenge is the removal of noise transient artifacts known as glitches, which…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Chun-Yu Xiong , Tian-Yang Sun , Jing-Fei Zhang , Xin Zhang

We consider the problem of denoising with the help of prior information taken from a database of clean signals or images. Denoising with variational methods is very efficient if a regularizer well adapted to the nature of the data is…

Machine Learning · Computer Science 2023-10-06 Hui Shi , Yann Traonmilin , J-F Aujol

The analysis of surface wave dispersion curves is a way to infer the vertical distribution of shear-wave velocity. The range of applicability is extremely wide going, for example, from seismological studies to geotechnical characterizations…

Geophysics · Physics 2021-02-25 Giulio Vignoli , Julien Guillemoteau , Jeniffer Barreto , Matteo Rossi

In this paper, we are interested in the classical problem of restoring data degraded by a convolution and the addition of a white Gaussian noise. The originality of the proposed approach is two-fold. Firstly, we formulate the restoration…

Methodology · Statistics 2015-05-13 Jean-Christophe Pesquet , Amel Benazza-Benyahia , Caroline Chaux

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

We develop a numerical scheme to make a high-frequency skymap of gravitational-wave backgrounds (GWBs) observed via space-based interferometer. Based on the cross-correlation technique, the intensity distribution of anisotropic GWB can be…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Atsushi Taruya

A stochastic gravitational wave background (SGWB), created by the superposition of signals from unresolved astrophysical sources, may be detected in the next few years. Estimating the variation of intensity across the sky can, therefore,…

General Relativity and Quantum Cosmology · Physics 2021-04-29 Jishnu Suresh , Anirban Ain , Sanjit Mitra

In image denoising problems, one widely-adopted approach is to minimize a regularized data-fit objective function, where the data-fit term is derived from a physical image acquisition model. Typically the regularizer is selected with two…

Optimization and Control · Mathematics 2015-08-13 Albert Oh , Rebecca Willett

We consider a search for the anisotropic stochastic gravitational-wave background (SGWB) that decomposes the sky map into its spherical harmonics components in order to obtain estimators of the angular power spectrum. Such a search often…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Erik Floden , Alex Granados , Vuk Mandic

Richardson-Lucy deconvolution is widely used to restore images from degradation caused by the broadening effects of a point spread function and corruption by photon shot noise, in order to recover an underlying object. In practice, this is…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Zachary H. Hendrix , Peter T. Brown , Tim Flanagan , Douglas P. Shepherd , Ayush Saurabh , Steve Pressé

In the search for stochastic gravitational wave backgrounds (SGWB) of cosmological origin with LISA, it is crucial to account for realistic complications in the noise and astrophysical foreground modeling that may impact the signal…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Jun'ya Kume , Marco Peloso , Mauro Pieroni , Angelo Ricciardone

Detecting stochastic gravitational wave backgrounds (SGWBs) with The Laser Interferometer Space Antenna (LISA) is among the mission science objectives. Disentangling SGWBs of astrophysical and cosmological origin is a challenging task,…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-14 Federico Pozzoli , Riccardo Buscicchio , Christopher J. Moore , Francesco Haardt , Alberto Sesana

Detection of gravitational waves(GW) involves using the network of GW telescopes to observe a large sky region. However, owing to the arrangement of the GW telescopes, even with aLIGO- aVirgo-KAGRA network,parameter estimation accuracy…

General Relativity and Quantum Cosmology · Physics 2018-04-03 Kenji Ono , Kazuhiro Hayama

Noise modeling and reduction are fundamental tasks in low-level computer vision. They are particularly important for smartphone cameras relying on small sensors that exhibit visually noticeable noise. There has recently been renewed…

Computer Vision and Pattern Recognition · Computer Science 2022-06-03 Shayan Kousha , Ali Maleky , Michael S. Brown , Marcus A. Brubaker