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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

Time delay interferometry (TDI) is essential for suppressing laser frequency noise and achieving the targeted sensitivity for space-borne gravitational wave (GW) missions. In Paper I, we examined the performance of the fiducial…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Gang Wang

We report on three numerical experiments on the implementation of Time-Delay Interferometry (TDI) for LISA, performed with Synthetic LISA, a C++/Python package that we developed to simulate the LISA science process at the level of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Michele Vallisneri

Forthcoming space-based gravitational-wave (GW) detectors will employ second-generation time-delay interferometry (TDI) to suppress laser frequency noise and achieve the sensitivity required for GW detection. We introduce an inverse…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Chunyu Zhang

The Laser Interferometer Space Antenna (LISA) is a European Space Agency mission that aims to measure gravitational waves in the millihertz range. The three-spacecraft constellation forms a nearly-equilateral triangle, which experiences…

Instrumentation and Methods for Astrophysics · Physics 2021-07-07 Olaf Hartwig , Jean-Baptiste Bayle

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

A new time-delay estimation (TDE) technique based on dynamic programming is developed, to measures the time-varying time-delay between two signals. Dynamic programming based TDE technique provides a frequency response 5 to 10 times higher…

Plasma Physics · Physics 2010-01-11 Deepak K. Gupta , George R. McKee , Raymond R. Fonck

We previously showed how the measurements of some eighteen time series of relative frequency or phase shifts could be combined (1) to cancel the phase noise of the lasers, (2) to cancel the Doppler fluctuations due to non-inertial motions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Massimo Tinto , John W. Armstrong , Frank B. Estabrook

We address the two issues raised by Bayle, Vallisneri, Babak, and Petiteau (in their gr-qc document arXiv:2106.03976) about our matrix formulation of Time-Delay Interferometry (TDI) (arXiv:2105.02054) \cite{TDJ21}. In so doing we explain…

General Relativity and Quantum Cosmology · Physics 2021-08-24 Massimo Tinto , Sanjeev Dhurandhar , Prasanna Joshi

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

Time-Delay Interferometry (TDI) is the data processing technique needed for generating interferometric combinations of data measured by the multiple Doppler readouts available onboard the three LISA spacecraft. Within the space of all…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Massimo Tinto , Shane L. Larson

The LISA mission will likely be a signal dominated detector, such that one challenge is the separation of the different astrophysical sources, and to distinguish between them and the instrumental noise. One of the goals of LISA is to probe…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Martina Muratore , Daniele Vetrugno , Stefano Vitale , Olaf Hartwig

LISA will detect gravitational waves (GWs) in the milli-Hz frequency band in space. Time-delay interferometry (TDI) is developed to suppress laser frequency noise beneath the acceleration noise and optical metrology noise. To identify…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Gang Wang , Bin Li , Peng Xu , Xilong Fan

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 LISA mission is a space interferometer aiming at the detection of gravitational waves in the [$10^{-4}$,$10^{-1}$] Hz frequency band. In order to reach the gravitational wave detection level, a Time Delay Interferometry (TDI) method…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Pireaux

In order for telescopes to obtain good and precise images they need to see through atmospheric turbulence. To accomplish this and compensate for atmospheric turbulence we use Adaptive Optics technologies. In this thesis we analyze the…

Instrumentation and Methods for Astrophysics · Physics 2023-10-13 Cesar Laguna

We present TSARDI, an efficient rejection algorithm designed to improve the transit detection efficiency in data collected by large scale surveys. TSARDI is based on the Machine Learning clustering algorithm DBSCAN, and its purpose is to…

Instrumentation and Methods for Astrophysics · Physics 2018-09-27 D. Mislis , S. Pyrzas , K. A. Alsubai

The Taiji mission for space-based gravitational wave (GW) detection employs laser interferometry to measure picometer-scale distance variations induced by GWs. The tilt-to-length (TTL) coupling noise in the inter-spacecraft interferometers,…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Qiong Deng , Leiqiao Ye , Ke An , Yidi Fan , Ruihong Gao , Ziren Luo , Minghui Du , Pengcheng Wang , Peng Xu

To asses stability against 1/f noise, the Low Frequency Instrument (LFI) onboard the Planck mission will acquire data at a rate much higher than the data rate allowed by its telemetry bandwith of 35.5 kbps. The data are processed by an…

LISA is a space-based mHz gravitational-wave observatory, with a planned launch in 2034. It is expected to be the first detector of its kind, and will present unique challenges in instrumentation and data analysis. An accurate preflight…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Jean-Baptiste Bayle , Olaf Hartwig