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Time-delay interferometry (TDI) is a crucial technology for space-based gravitational wave detectors. Previous studies have identified the optimal TDI configuration for the first-generation. In this research, we used an Algebraic approach…

Instrumentation and Methods for Astrophysics · Physics 2023-04-28 Yu Tian , Zhi-Xiang Li

The method of time delay interferometry (TDI) is proposed to cancel the laser noise in space-borne gravitational-wave detectors. Among all different TDI combinations, the most commonly used ones are the orthogonal channels A, E and T, where…

Astrophysics of Galaxies · Physics 2023-08-09 Zheng-Cheng Liang , Zhi-Yuan Li , Jun Cheng , En-Kun Li , Jian-dong Zhang , Yi-Ming Hu

We introduce a generic algorithm to determine the time delays and spacecraft (S/C) positions to compose any time-delay interferometry (TDI) channel in the dynamical case and evaluate its sensitivity by using a full numerical method. We…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Gang Wang , Wei-Tou Ni , Wen-Biao Han , Cong-Feng Qiao

Time delay interferometry (TDI) is a post-processing technique used in the Laser Interferometer Space Antenna (LISA) to reduce laser frequency noise by building an equal-arm interferometer via combining time-shifted raw phase measurements.…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Olaf Hartwig , Martina Muratore

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 a key technique employed in gravitational wave (GW) space missions to mitigate laser frequency noise by combining multiple laser links and establishing an equivalent equal arm interferometry. The null…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Gang Wang

Time Delay Interferometry (TDI) is often utilized in the data pre-processing of space-based gravitational wave detectors, primarily for suppressing laser frequency noise. About twenty years ago, assuming armlengths remain constant over…

Instrumentation and Detectors · Physics 2023-08-30 Weisheng Huang , Pan-Pan Wang , Yu-Jie Tan , Cheng-Gang Shao

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

The time delay interferometry (TDI) is an algorithm proposed to suppress the laser frequency noise in space-borne gravitational wave detectors. As a post-processing technique, it is implemented by constructing a virtual equal arm…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Pan-Pan Wang , Wei-Liang Qian , Yu-Jie Tan , Han-Zhong Wu , Cheng-Gang Shao

The space-based gravitational-wave observatory LISA, a NASA-ESA mission to be launched after 2012, will achieve its optimal sensitivity using Time Delay Interferometry (TDI), a LISA-specific technique needed to cancel the otherwise…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Michele Vallisneri

Space-based gravitational wave (GW) observatories, such as the future Laser Interferometer Space Antenna (LISA), employ synthetic Time Delay Interferometry (TDI) to cancel the otherwise overwhelming laser frequency noise. The phase readouts…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Neil J. Cornish , Tyson Littenberg

Probing extra polarizations in gravitational waves (GWs) with space-based detectors is the most direct method for testing theories of gravity. In this paper, by employing the second-generation time-delay interferometry (TDI) to cancel out…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Tong Jiang , Chunyu Zhang

Time-Delay Interferometry (TDI) is the data processing technique that cancels the large laser phase fluctuations affecting the heterodyne Doppler measurements made by unequal-arm space-based gravitational wave interferometers. The space of…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Massimo Tinto , Sanjeev Dhurandhar , Dishari Malakar

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

Time-Delay Interferometry (TDI) is essential for space-based gravitational wave (GW) missions, as it suppresses laser frequency noise and achieve the required sensitivity. Beyond the standard Michelson configuration, a variety of…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Gang Wang

The proposed space-borne laser interferometric gravitational wave (GW) observatory TianQin adopts a geocentric orbit for its nearly equilateral triangular constellation formed by three identical drag-free satellites. The geocentric distance…

Instrumentation and Methods for Astrophysics · Physics 2021-06-02 Ming-Yue Zhou , Xin-Chun Hu , Bobing Ye , Shoucun Hu , Dong-Dong Zhu , Xuefeng Zhang , Wei Su , Yan Wang

Inspired by the combinatorial algebraic approach proposed by Dhurandhar {\it et al.}, we propose two novel classes of second-generation time-delay interferometry (TDI) solutions and their further generalization. The primary strategy of the…

Instrumentation and Methods for Astrophysics · Physics 2023-07-19 Wei-Liang Qian , Pan-Pan Wang , Zhang-Qi Wu , Cheng-Gang Shao , Bin Wang , Rui-Hong Yue

Space-based gravitational wave detectors cannot keep rigid structures and precise arm length equality, so the precise equality of detector arms which is required in a ground-based interferometer to cancel the overwhelming laser noise is…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Chunyu Zhang , Qing Gao , Yungui Gong , Dicong Liang , Alan J. Weinstein , Chao Zhang

TDI is essential in space-based GW detectors, effectively reducing laser noise and improving detection precision. Space-based GW detectors provide a unique opportunity to probe GW polarizations, including possible additional modes that may…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Jie Wu , Mengfei Sun , Jin Li

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
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