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The Laser Interferometer Space Antenna (LISA) will enable direct observations of low-frequency gravitational waves, offering unprecedented insight into astrophysical and cosmological phenomena. LISA's heterodyne interferometric measurement…

Instrumentation and Detectors · Physics 2025-08-26 Gerhard Heinzel , Javier Álvarez-Vizoso , Miguel Dovale-Álvarez

The Laser Interferometer Space Antenna (LISA) will open a rich discovery space in the milli-Hertz gravitational wave band. In addition to the anticipated signals from many millions of binary systems, this band may contain new and previously…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Travis Robson , Neil J. Cornish

We report on the analysis of selected single source data sets from the first round of the Mock LISA Data Challenges (MLDC) for white dwarf binaries. We implemented an end-to-end pipeline consisting of a grid-based coherent pre-processing…

The Laser Interferometer Space Antenna (LISA) is due to launch in the mid-2030s. A key challenge for LISA data analysis is efficient Bayesian inference with parametrised gravitational-wave models, particularly for early inspirals of low-…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Jethro Linley

We present a Bayesian approach to the problem of determining parameters for coalescing binary systems observed with laser interferometric detectors. By applying a Markov Chain Monte Carlo (MCMC) algorithm, specifically the Gibbs sampler, we…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nelson Christensen , Renate Meyer

In this paper we introduce an optimized Markov Chain Monte Carlo (MCMC) technique for solving the integer least-squares (ILS) problems, which include Maximum Likelihood (ML) detection in Multiple-Input Multiple-Output (MIMO) systems. Two…

Information Theory · Computer Science 2015-06-17 Babak Hassibi , Morten Hansen , Alexandros Georgios Dimakis , Haider Ali Jasim Alshamary , Weiyu Xu

The detection of gravitational waves from extreme-mass-ratio inspirals (EMRIs) in space-borne antennas like Taiji and LISA promises deep insights into strong-field gravity and black hole physics. However, the complex, highly degenerate, and…

General Relativity and Quantum Cosmology · Physics 2025-08-27 Bo Liang , Chang Liu , Hanlin Song , Zhenwei Lyu , Minghui Du , Peng Xu , Ziren Luo , Sensen He , Haohao Gu , Tianyu Zhao , Manjia Liang Yuxiang Xu , Li-e Qiang , Mingming Sun , Wei-Liang Qian

Markov chain Monte Carlo (MCMC) methods form one of the algorithmic foundations of Bayesian inverse problems. The recent development of likelihood-informed subspace (LIS) methods offers a viable route to designing efficient MCMC methods for…

Numerical Analysis · Mathematics 2023-03-07 Tiangang Cui , Xin Tong , Olivier Zahm

Detecting and coherently characterizing thousands of gravitational-wave signals is a core data-analysis challenge for the Laser Interferometer Space Antenna (LISA). Transient artifacts, or "glitches", with disparate morphologies are…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Alice Spadaro , Riccardo Buscicchio , Daniele Vetrugno , Antoine Klein , Davide Gerosa , Stefano Vitale , Rita Dolesi , William Joseph Weber , Monica Colpi

LISA is an array of three spacecraft in an approximately equilateral triangle configuration which will be used as a low-frequency gravitational wave detector. We present here new generalizations of the Michelson- and Sagnac-type time-delay…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Daniel A. Shaddock , Massimo Tinto , Frank B. Estabrook , J. W. Armstrong

LISA (Laser Interferometer Space Antenna) is a proposed space mission, which will use coherent laser beams exchanged between three remote spacecraft to detect and study low-frequency cosmic gravitational radiation. In the low-part of its…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jeffrey A. Edlund , Massimo Tinto , Andrzej Krolak , Gijs Nelemans

The orbiting LISA instrument is designed to detect gravitational waves in the millihertz band, produced by sources including galactic binaries and extreme mass ratio inspirals, among others. The detector consists of three spacecraft, each…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Orion Sauter , Peter Wass , Wiler Sanchez , Henri Inchauspé

The random superposition of many weak sources will produce a stochastic background of gravitational waves that may dominate the response of the LISA (Laser Interferometer Space Antenna) gravitational wave observatory. Unless something can…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Neil J. Cornish

By listening to gravity in the low frequency band, between 0.1 mHz and 1 Hz, the future space-based gravitational-wave observatory LISA will be able to detect tens of thousands of astrophysical sources from cosmic dawn to the present. The…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Quentin Baghi , Ira Thorpe , Jacob Slutsky , John Baker , Tito Dal Canton , Natalia Korsakova , Nikos Karnesis

Statistical signal processing applications usually require the estimation of some parameters of interest given a set of observed data. These estimates are typically obtained either by solving a multi-variate optimization problem, as in the…

Computation · Statistics 2021-07-27 D. Luengo , L. Martino , M. Bugallo , V. Elvira , S. Särkkä

The gravitational wave signals from coalescing Supermassive Black Hole Binaries are prime targets for the Laser Interferometer Space Antenna (LISA). With optimal data processing techniques, the LISA observatory should be able to detect…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Neil J. Cornish , Edward K. Porter

The Galaxy is suspected to contain hundreds of millions of binary white dwarf systems, a large fraction of which will have sufficiently small orbital period to emit gravitational radiation in band for space-based gravitational wave…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Tyson B. Littenberg

The Laser Interferometer Space Antenna (LISA) will be capable of detecting gravitational waves (GWs) in the milli-Hertz band. Among various sources, LISA will detect the coalescence of supermassive black hole binaries (SMBHBs). Accurate and…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Abhishek Sharma , Anand S. Sengupta , Suvodip Mukherjee

We present data analysis methods used in detection and the estimation of parameters of gravitational wave signals from the white dwarf binaries in the mock LISA data challenge. Our main focus is on the analysis of challenge 3.1, where the…

General Relativity and Quantum Cosmology · Physics 2010-04-23 Arkadiusz Błaut , Stanislav Babak , Andrzej Królak

The Laser Interferometer Space Antenna (LISA) is a planned space-based observatory designed to detect gravitational waves (GWs) within the millihertz frequency range. LISA is anticipated to observe the inspiral of compact objects into black…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Stefan H. Strub , Lorenzo Speri , Domenico Giardini