English
Related papers

Related papers: Matrix Representation of Time-Delay Interferometry

200 papers

Laser Interferometer Space Antenna LISA represents the next frontier in gravitationalwave GW astronomy targeting the detection of millihertz gravitational signals Central to LISAs operation is the nanosecondprecision estimation of the light…

General Relativity and Quantum Cosmology · Physics 2025-07-28 Jean-Baptiste Bayle , Martin Staab , Samuel P. Francis , Emily Rose Rees , Robert Spero , Gerhard Heinzel

Previous work demonstrated effective laser frequency noise (LFN) suppression for Laser Interferometer Space Antenna (LISA) data from raw phasemeter measurements using a Markov Chain Monte Carlo (MCMC) algorithm with fractional delay…

General Relativity and Quantum Cosmology · Physics 2023-05-29 Jessica Page , Tyson Littenberg

The LISA mission is the future space-based gravitational wave (GW) observatory of the European Space Agency. It is formed by 3 spacecraft exchanging laser beams in order to form multiple real and virtual interferometers. The data streams to…

General Relativity and Quantum Cosmology · Physics 2024-09-30 Dam Quang Nam , Yves Lemiere , Antoine Petiteau , Jean-Baptiste Bayle , Olaf Hartwig , Joseph Martino , Martin Staab

Heterodyne laser phase measurements in a space-based gravitational wave interferometer are degraded by the phase fluctuations of the onboard clocks, resulting in unacceptable sensitivity performance levels of the interferometric data. In…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Massimo Tinto , Nan Yu

In order to attain the requisite sensitivity for LISA, laser frequency noise must be suppressed below the secondary noises such as the optical path noise, acceleration noise etc. In a previous paper (Dhurandhar et al., Class. Quantum Grav.,…

General Relativity and Quantum Cosmology · Physics 2012-10-25 S. V. Dhurandhar , W. -T. Ni , G. Wang

Laser frequency noise suppression is a critical requirement for the Laser Interferometer Space Antenna (LISA) mission to detect gravitational waves. The baseline laser stabilization is achieved using cavity pre-stabilization and a…

General Relativity and Quantum Cosmology · Physics 2024-06-05 Jobin Thomas Valliyakalayil , Andrew Wade , David Rabeling , Jue Zhang , Daniel Shaddock , Kirk McKenzie

The Laser Interferometer Space Antenna (LISA) will be a space-borne gravitational wave (GW) detector to be launched in the next decade. Central to LISA data analysis is time-delay interferometry (TDI), a numerical procedure which…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Raissa Costa Barroso , Yves Lemière , François Mauger , Quentin Baghi

Measuring the Time delay of Arrival (TDOA) between a set of sensors is the basic setup for many applications, such as localization or signal beamforming. This paper presents the set of TDOA matrices, which are built from noise-free TDOA…

Information Theory · Computer Science 2016-09-06 Jose Velasco , Daniel Pizarro , Javier Macias-Guarasa , Afsaneh Asaei

Cancellation of laser frequency noise in interferometers is crucial for attaining the requisite sensitivity of the triangular 3-spacecraft LISA configuration. Raw laser noise is several orders of magnitude above the other noises and thus it…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S. V. Dhurandhar , K. Rajesh Nayak , J-Y. Vinet

Spaceborne gravitational wave observatories, exemplified by the Laser Interferometer Space Antenna (LISA) mission, are designed to remove laser noise and clock noise from interferometric phase measurements in postprocessing. The planned…

Instrumentation and Methods for Astrophysics · Physics 2026-05-18 Kohei Yamamoto , Hannah Tomio , Charlotte Zehnder , Kenji Numata , Holly Leopardi

Space-based gravitational wave (GW) detectors are designed for wave sources in the millihertz band with different locations and orientations. Time-delay interferometry (TDI) technique is an indispensable ingredient in space-borne GW…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Pan-Pan Wang , Hao-Kang Chen , Wei-Liang Qian , Rui Luo , Jing Zhou , Wei-Sheng Huang , Yu-Jie Tan , Cheng-Gang Shao

An interpolation method for discretising continuous-time Linear Time Invariant (LTI) models is proposed in this paper. It consists first in using the Loewner interpolation framework on a specific set of frequency data and secondly to…

Systems and Control · Electrical Eng. & Systems 2019-07-26 Pierre Vuillemin , Charles Poussot-Vassal

Tilt-to-length (TTL) coupling is expected to be one of the major noise sources in the interferometric phase readouts in TianQin mission. Arising from the angular motion of spacecraft (SC) and the onboard movable optical subassemblies…

Instrumentation and Methods for Astrophysics · Physics 2024-10-29 Zhizhao Wang , Shuju Yang , Kaihang Wu , Xiaojie Wang , Huizong Duan , Yurong Liang , Xuefeng Zhang , Hsien-Chi Yeh

The proposed Laser Interferometer Space Antenna (LISA) mission is tasked with the detection and characterization of gravitational waves from various sources in the universe. This endeavor is challenged by transient displacement and…

Instrumentation and Methods for Astrophysics · Physics 2024-05-21 Niklas Houba , Luigi Ferraioli , Domenico Giardini

The Laser Interferometer Space Antenna (LISA) is a gravitational wave detector in space. It relies on a post-processing technique named time-delay interferometry (TDI) to suppress the overwhelming laser frequency noise by several orders of…

The accurate sky localization of gravitational wave (GW) sources is an important scientific goal for space-based GW detectors. The main differences between future space-based GW detectors, such as Laser Interferometer Space Antenna (LISA),…

General Relativity and Quantum Cosmology · Physics 2024-10-31 Tong Jiang , Yungui Gong , Xuchen Lu

Timbre allows us to distinguish between sounds even when they share the same pitch and loudness, playing an important role in music, instrument recognition, and speech. Traditional approaches, such as frequency analysis or machine learning,…

Sound · Computer Science 2026-02-05 Gakusei Sato , Hiroya Nakao , Riccardo Muolo

This paper introduces a conversion matrix method for linear periodically time-variant (LPTV) digital phase-locked loop (DPLL) phase noise modeling that offers precise and computationally efficient results to enable rapid design iteration…

Signal Processing · Electrical Eng. & Systems 2024-07-01 Hongyu Lu , Patrick P. Mercier

We investigate the impact of missing input data on the construction of second-generation Time Delay Interferometry (TDI) variables, which enable data analysis for the Laser Interferometer Space Antenna (LISA). TDI relies on the introduction…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Ollie Burke , Martina Muratore , Graham Woan

The dispersed fixed-delay Intereferometer (DFDI) method is attractive for its low cost, compact size, and multiobject capability in precision radial-velocity (RV) measurements. The phase shift of fringes of stellar absorption lines is…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Ji Wang , Jian Ge , Xiaoke Wan , Brian Lee , Nathan De Lee