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Detecting stochastic background radiation of cosmological origin is an exciting possibility for current and future gravitational-wave (GW) detectors. However, distinguishing it from other stochastic processes, such as instrumental noise and…

General Relativity and Quantum Cosmology · Physics 2023-04-28 Quentin Baghi , Nikolaos Karnesis , Jean-Baptiste Bayle , Marc Besançon , Henri Inchauspé

Data from gravitational wave detectors are recorded as time series that include contributions from myriad noise sources in addition to any gravitational wave signals. When regularly sampled data are available, such as for ground based and…

General Relativity and Quantum Cosmology · Physics 2020-12-23 Neil J. Cornish

Space-based gravitational-wave detectors, such as LISA, record interferometric measurements on widely separated satellites. Their clocks are not synced actively. Instead, clock synchronization is performed in on-ground data processing. It…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Jan Niklas Reinhardt , Olaf Hartwig , Gerhard Heinzel

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

Suppose we observe data of the form $Y_i = D_i (S_i + \varepsilon_i) \in \mathbb{R}^p$ or $Y_i = D_i S_i + \varepsilon_i \in \mathbb{R}^p$, $i=1,\ldots,n$, where $D_i \in \mathbb{R}^{p\times p}$ are known diagonal matrices, $\varepsilon_i$…

Statistics Theory · Mathematics 2018-11-05 Edgar Dobriban , William Leeb , Amit Singer

The LISA time-delay-interferometry responses to a gravitational-wave signal are rewritten in a form that accounts for the motion of the LISA constellation around the Sun; the responses are given in closed analytic forms valid for any…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Andrzej Krolak , Massimo Tinto , Michele Vallisneri

In this paper we discuss two main problems associated with the analysis of the data from LISA Pathfinder (LPF): i) Excess noise detection and ii) Noise parameter identification. The mission is focused on the low frequency region ([0.1; 10]…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Luigi Ferraioli , Martin Hewitson , Giuseppe Congedo , Miquel Nofrarias , Mauro Hueller , Michele Armano , Stefano Vitale

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

Proper tuning of the orbital characteristics of the three spacecrafts that constitute the usual triangular configuration of the space-borne gravitational-wave detector LISA, could minimize the breathing mode of its arm-lengths. Since the…

General Relativity and Quantum Cosmology · Physics 2008-04-15 Ioannis Deligiannis , Theocharis A. Apostolatos

eLISA/NGO is a new gravitational wave detection proposal with arm length of 10^6 km and one interferometer down-scaled from LISA. Just like LISA and ASTROD-GW, in order to attain the requisite sensitivity for eLISA/NGO, laser frequency…

General Relativity and Quantum Cosmology · Physics 2016-03-08 Gang Wang , Wei-Tou Ni

Chirped-pulse interferometry (CPI) is a classical low-coherence interferometry technique with automatic dispersion cancellation and improved resolution over white-light interference. Previous work has shown that CPI with linearly-chirped…

Quantum Physics · Physics 2025-05-09 Madeleine Bérubé , Michael D. Mazurek , Kevin J. Resch

Accurately estimating the statistical properties of noise is important in data analysis for space-based gravitational wave detectors. Noise in different time-delay interferometry channels correlates with each other. Many studies often…

Instrumentation and Methods for Astrophysics · Physics 2025-06-18 Ya-Nan Li , Yi-Ming Hu , En-Kun Li

A simple method is presented for removing the amplitude, frequency and phase modulations from the Laser Interferometer Space Antenna (LISA) data stream for sources at any sky location. When combined with an excess power trigger or the fast…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Neil J. Cornish

Principal Component Analysis (PCA) is a method for estimating a subspace given noisy samples. It is useful in a variety of problems ranging from dimensionality reduction to anomaly detection and the visualization of high dimensional data.…

Statistics Theory · Mathematics 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

Context. Galactic binaries account for the loudest combined continuous gravitational wave signal in the Laser Interferometer Space Antenna (LISA) band, which spans a frequency range of 0.1 mHz to 1 Hz. Aims. A superposition of low frequency…

General Relativity and Quantum Cosmology · Physics 2023-10-18 Kristen Lackeos , Tyson B. Littenberg , Neil J. Cornish , James I. Thorpe

Time-delay interferometry is put forward to improve the signal-to-noise ratio of space-borne gravitational wave detectors by canceling the large laser phase noise with different combinations of measured data. Based on the Michelson data…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Xiao-Yu Lu , Yu-Jie Tan , Cheng-Gang Shao

The orbital motion of the Laser Interferometer Space Antenna (LISA) produces amplitude, phase and frequency modulation of a gravitational wave signal. The modulations have the effect of spreading a monochromatic gravitational wave signal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Neil Cornish , Shane Larson

Space gravitational wave detectors employing laser interferometry between free-flying spacecraft differ in many ways from their laboratory counterparts. Among these differences is the fact that, in space, the end-masses will be moving…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ronald W. Hellings

In full-duplex systems, oscillator phase noise (PN) problem is considered the bottleneck challenge that may face the self-interference cancellation (SIC) stage especially when orthogonal frequency division multiplexing (OFDM) transmission…

Information Theory · Computer Science 2016-03-18 Heba Shehata , Tamer Khattab

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
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