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At its lowest frequencies, LIGO is limited by noise in its many degrees of freedom of suspended optics, which, in turn, introduce noise in the interferometer through their feedback control systems. Nonlinear interactions are a dominant…

Instrumentation and Detectors · Physics 2026-05-05 Ian A. O. MacMillan , Lee P. McCuller

The interferometers being planned for second generation LIGO promise and order of magnitude increase in broadband strain sensitivity--with the corresponding cubic increase in detection volume--and an extension of the observation band to…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Peter Fritschel

Context: Low-frequency radio observations are heavily impacted by the ionosphere, where dispersive delays can outpace even instrumental clock offsets, posing a serious calibration challenge. Especially below 100 MHz, phase unwrapping…

Instrumentation and Methods for Astrophysics · Physics 2025-10-03 C. M. Cordun , M. A. Brentjens , H. K. Vedantham , M. Mevius

The first scientific runs of kilometer scale laser interferometric detectors like LIGO are underway. Data from these detectors will be used to look for signatures of gravitational waves (GW) from astrophysical objects like inspiraling…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Anand S. Sengupta , Sanjeev Dhurandhar , Albert Lazzarini

Low Earth orbit (LEO) inter-satellite links (ISLs) must achieve joint synchronization and ranging under severe hardware impairments, namely oscillator phase noise, clock drift, and measurement outliers, exacerbated by rapid relative…

Signal Processing · Electrical Eng. & Systems 2026-03-13 Haofan Dong , Houtianfu Wang , Hanlin Cai , Ozgur B. Akan

We discuss the influence of Young's modulus temperature dependence on the number of parametrically unstable modes in a Fabry-Perot cavity of Advanced LIGO interferometer. Some unstable modes may be suppressed by changing the mirror's…

Instrumentation and Methods for Astrophysics · Physics 2018-12-03 S. E. Strigin

Among the most eagerly anticipated opportunities made possible by Advanced LIGO/Virgo are multimessenger observations of compact mergers. Optical counterparts may be short-lived so rapid characterization of gravitational wave (GW) events is…

High Energy Astrophysical Phenomena · Physics 2016-03-23 Tyson B. Littenberg , Ben Farr , Scott Coughlin , Vicky Kalogera

Direction dependent calibration of widefield radio interferometers estimates the systematic errors along multiple directions in the sky. This is necessary because with most systematic errors that are caused by effects such as the ionosphere…

Instrumentation and Methods for Astrophysics · Physics 2021-12-22 Sarod Yatawatta

Precision pulsar timing requires optimization against measurement errors and astrophysical variance from the neutron stars themselves and the interstellar medium. We investigate optimization of arrival time precision as a function of radio…

High Energy Astrophysical Phenomena · Physics 2018-06-28 M. T. Lam , M. A. McLaughlin , J. M. Cordes , S. Chatterjee , T. J. W. Lazio

Interferometry, as the key technique in modern precision measurements, has been used for length diagnosis in the fields of engineering metrology and astronomy. Analogous interferometric technique for time domain precision measurement is a…

Optics · Physics 2019-11-15 Zhen Yang , Wei Cao , Yunlong Mo , Huiyao Xu , Kang Mi , Pengfei Lan , Qingbin Zhang , Peixiang Lu

The ongoing global effort to detect gravitational waves continues to push the limits of precision measurement while aiming to provide a new tool for understanding both astrophysics and fundamental physics. Squeezed states of light offer a…

Optics · Physics 2013-08-09 M. Evans , L. Barsotti , J. Harms , P. Kwee , H. Miao

This paper considers the approximation of the continuous time filtering equation for the case of a multiple timescale (slow-intermediate, and fast scales) that may have correlation between the slow-intermediate process and the observation…

Probability · Mathematics 2020-11-02 Ryne Beeson , N. Sri Namachchivaya , Nicolas Perkowski

One of the biggest challenges in operating massive multiple-input multiple-output systems is the acquisition of accurate channel state information at the transmitter. To take up this challenge, time division duplex is more favorable thanks…

Information Theory · Computer Science 2024-10-30 Xiwen Jiang , Alexis Decurninge , Kalyana Gopala , Florian Kaltenberger , Maxime Guillaud , Dirk Slock , Luc Deneire

Ground-based interferometers are not perfectly all-sky instruments, and it is important to account for their behavior when considering the distribution of detected events. In particular, the LIGO detectors are most sensitive to sources…

High Energy Astrophysical Phenomena · Physics 2017-01-25 Hsin-Yu Chen , Reed Essick , Salvatore Vitale , Daniel E. Holz , Erik Katsavounidis

Current and future ground-based interferometers require knowledge of the atmospheric time constant t_0, but this parameter has diverse definitions. Moreover, adequate techniques for monitoring t_0 still have to be implemented. We derive a…

Astrophysics · Physics 2016-08-31 A. Kellerer , A. Tokovinin

In this paper a proposal is made of an adaptive coupling function for achieving synchronization between two lasers subject to optical feedback.Such a control scheme requires knowledge of the systems' parameters. We demonstate that when…

Chaotic Dynamics · Physics 2007-05-23 E. M. Shahverdiev , K. A. Shore

The response of a gravitational-wave (GW) interferometer is spatially modulated and is described by two antenna patterns, one for each polarization state of the waves. The antenna patterns are derived from the shape and size of the…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Andrea Virtuoso , Edoardo Milotti

Precision calibration poses challenges to experiments probing the redshifted 21-cm signal of neutral hydrogen from the Cosmic Dawn and Epoch of Reionization (z~30-6). In both interferometric and global signal experiments, systematic…

In August 2017, Advanced Virgo joined Advanced LIGO for the end of the O2 run, leading to the first gravitational waves detections with the three-detector network. This paper describes the Advanced Virgo calibration and the gravitational…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Virgo Collaboration , F. Acernese , T. Adams , K. Agatsuma , L. Aiello , A. Allocca , M. A. Aloy , A. Amato , S. Antier , M. Arène , N. Arnaud , S. Ascenzi , P. Astone , F. Aubin , S. Babak , P. Bacon , F. Badaracco , M. K. M. Bader , F. Baldaccini , G. Ballardin , F. Barone , M. Barsuglia , D. Barta , A. Basti , M. Bawaj , M. Bazzan , M. Bejger , I. Belahcene , S. Bernuzzi , D. Bersanetti , A. Bertolini , M. Bitossi , M. A. Bizouard , S. Bloemen , M. Boer , G. Bogaert , F. Bondu , R. Bonnand , B. A. Boom , V. Boschi , Y. Bouffanais , A. Bozzi , C. Bradaschia , M. Branchesi , T. Briant , F. Brighenti , A. Brillet , V. Brisson , T. Bulik , H. J. Bulten , D. Buskulic , C. Buy , G. Cagnoli , E. Calloni , M. Canepa , P. Canizares , E. Capocasa , F. Carbognani , J. Casanueva Diaz , C. Casentini , S. Caudill , F. Cavalier , R. Cavalieri , G. Cella , P. Cerdá-Durán , G. Cerretani , E. Cesarini , O. Chaibi , E. Chassande-Mottin , A. Chincarini , A. Chiummo , N. Christensen , S. Chua , G. Ciani , R. Ciolfi , F. Cipriano , A. Cirone , F. Cleva , E. Coccia , P. F. Cohadon , D. Cohen , A. Colla , L. Conti , I. Cordero-Carrión , S. Cortese , J. P. Coulon , E. Cuoco , S. D'Antonio , V. Dattilo , M. Davier , C. De Rossi , J. Degallaix , M. De Laurentis , S. Deléglise , W. Del Pozzo , R. De Pietri , R. De Rosa , L. Di Fiore , M. Di Giovanni , T. Di Girolamo , A. Di Lieto , S. Di Pace , I. Di Palma , F. Di Renzo , V. Dolique , M. Drago , M. Eisenmann , D. Estevez , V. Fafone , S. Farinon , F. Feng , I. Ferrante , F. Ferrini , F. Fidecaro , I. Fiori , D. Fiorucci , R. Flaminio , J. A. Font , J. -D. Fournier , S. Frasca , F. Frasconi , V. Frey , L. Gammaitoni , F. Garufi , G. Gemme , E. Genin , A. Gennai , V. Germain , Archisman Ghosh , B. Giacomazzo , A. Giazotto , G. Giordano , J. M. Gonzalez Castro , M. Gosselin , R. Gouaty , A. Grado , M. Granata , G. Greco , P. Groot , P. Gruning , G. M. Guidi , O. Halim , J. Harms , A. Heidmann , H. Heitmann , P. Hello , G. Hemming , T. Hinderer , D. Hoak , D. Hofman , A. Hreibi , D. Huet , A. Iess , G. Intini , J. M. Isac , T. Jacqmin , P. Jaranowski , R. J. G. Jonker , S. Katsanevas , F. Kéfélian , I. Khan , S. Koley , I. Kowalska , A. Królak , A. Kutynia , A. Lartaux-Vollard , C. Lazzaro , P. Leaci , M. Leonardi , N. Leroy , N. Letendre , A. Longo , M. Lorenzini , V. Loriette , G. Losurdo , D. Lumaca , E. Majorana , I. Maksimovic , N. Man , M. Mantovani , F. Marchesoni , F. Marion , A. Marquina , F. Martelli , L. Martellini , A. Masserot , S. Mastrogiovanni , J. Meidam , L. Mereni , M. Merzougui , R. Metzdorff , C. Michel , L. Milano , A. Miller , O. Minazzoli , Y. Minenkov , M. Mohan , M. Montani , B. Mours , I. Nardecchia , L. Naticchioni , G. Nelemans , D. Nichols , S. Nissanke , F. Nocera , M. Obergaulinger , G. Pagano , C. Palomba , F. Paoletti , A. Paoli , A. Pasqualetti , R. Passaquieti , D. Passuello , M. Patil , B. Patricelli , R. Pedurand , A. Perreca , O. J. Piccinni , M. Pichot , F. Piergiovanni , G. Pillant , L. Pinard , R. Poggiani , P. Popolizio , E. K. Porter , L. Possenti , G. A. Prodi , M. Punturo , P. Puppo , P. Rapagnani , M. Razzano , T. Regimbau , L. Rei , F. Ricci , F. Robinet , A. Rocchi , L. Rolland , R. Romano , D. Rosińska , P. Ruggi , L. Salconi , A. Samajdar , N. Sanchis-Gual , B. Sassolas , P. Schmidt , D. Sentenac , V. Sequino , M. Sieniawska , A. Singhal , F. Sorrentino , G. Stratta , B. L. Swinkels , M. Tacca , S. Tiwari , M. Tonelli , A. Torres-Forné , F. Travasso , M. C. Tringali , L. Trozzo , K. W. Tsang , N. van Bakel , M. van Beuzekom , J. F. J. van den Brand , C. Van Den Broeck , L. van der Schaaf , J. V. van Heijningen , M. Vardaro , M. Vasúth , G. Vedovato , D. Verkindt , F. Vetrano , A. Viceré , J. -Y. Vinet , H. Vocca , R. Walet , G. Wang , M. Was , A. R. Williamson , M. Yvert , A. Zadrożny , T. Zelenova , J. P. Zendri , S. Kandhasamy , A. L. Urban

We consider the estimation of large covariance and precision matrices from high-dimensional sub-Gaussian or heavier-tailed observations with slowly decaying temporal dependence. The temporal dependence is allowed to be long-range so with…

Statistics Theory · Mathematics 2019-12-23 Hai Shu , Bin Nan