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Continuous nanohertz gravitational waves from individual supermassive black hole binaries may be detectable with pulsar timing arrays. A novel search strategy is developed, wherein intrinsic achromatic spin wandering is tracked…

Massive black hole binaries are expected to provide the strongest gravitational wave signals for the Laser Interferometer Space Antenna (LISA), a space mission targeting $\sim\,$mHz frequencies. As a result of the technological challenges…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Kallol Dey , Nikolaos Karnesis , Alexandre Toubiana , Enrico Barausse , Natalia Korsakova , Quentin Baghi , Soumen Basak

Space-borne gravitational wave detectors like TianQin might encounter data gaps due to factors like micrometeoroid collisions or hardware failures. Such events will cause discontinuity in the data, presenting challenges to the data analysis…

General Relativity and Quantum Cosmology · Physics 2025-02-20 Lu Wang , Hong-Yu Chen , Xiangyu Lyu , En-Kun Li , Yi-Ming Hu

The forthcoming space-based gravitational wave observatory LISA will open a new window for the measurement of galactic binaries, which will deliver unprecedented information about these systems. However, the detection of galactic binary…

General Relativity and Quantum Cosmology · Physics 2021-11-24 Aurore Blelly , Jérôme Bobin , Hervé Moutarde

This paper considers the problem of fitting the parameters of a Kalman smoother to data. We formulate the Kalman smoothing problem with missing measurements as a constrained least squares problem and provide an efficient method to solve it…

Optimization and Control · Mathematics 2019-10-22 Shane Barratt , Stephen Boyd

Filtering is a widely used methodology for the incorporation of observed data into time-evolving systems. It provides an online approach to state estimation inverse problems when data is acquired sequentially. The Kalman filter plays a…

Probability · Mathematics 2015-05-27 Wonjung Lee , Damon McDougall , Andrew Stuart

Gravitational lensing of gravitational waves (GWs) is a powerful probe of the matter distribution in the universe. Here we revisit the wave-optics effects induced by dark matter (DM) halos on the GW signals of merging massive black hole…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-23 Zucheng Gao , Xian Chen , Yi-Ming Hu , Jian-Dong Zhang , Shunjia Huang

Gravitational wave (GW) astronomy is witnessing a transformative shift from terrestrial to space-based detection, with missions like Taiji at the forefront. While the transition brings unprecedented opportunities for exploring massive black…

Instrumentation and Methods for Astrophysics · Physics 2024-02-21 Minghui Du , Bo Liang , He Wang , Peng Xu , Ziren Luo , Yueliang Wu

Many astronomical surveys are limited by the brightness of the sources, and gravitational-wave searches are no exception. The detectability of gravitational waves from merging binaries is affected by the mass and spin of the constituent…

General Relativity and Quantum Cosmology · Physics 2022-01-04 Colm Talbot , Eric Thrane

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

In the coming decades, as the low frequency sensitivity of detectors improves, the time that gravitational-wave signals remain in the sensitive band will increase, leading to new challenges in analyzing data, namely non-stationary noise and…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Noah Pearson , Neil J. Cornish

Supermassive black hole binaries (SMBHBs) are expected to emit continuous gravitational waves in the pulsar timing array (PTA) frequency band ($10^{-9}$--$10^{-7}$ Hz). The development of data analysis techniques aimed at efficient…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Justin Ellis , Xavier Siemens , Jolien Creighton

Imputation of missing data in large regions of satellite imagery is necessary when the acquired image has been damaged by shadows due to clouds, or information gaps produced by sensor failure. The general approach for imputation of missing…

Applications · Statistics 2010-06-23 Valeria Rulloni , Oscar Bustos , Ana Georgina Flesia

This study presents a computational framework for evaluating the detectability of white hole-induced gravitational wave signals and their imprints on the cosmic microwave background (CMB). The approach integrates stochastic gravitational…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Antonios Valamontes , Ioannis Adamopoulos

The space-based laser interferometers, LISA, Taiji and TianQin, are targeting to observe milliHz gravitational waves (GWs) in the 2030s. The joint observations from multiple space-based detectors yield significant advantages. In this work,…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Rong-Gen Cai , Zong-Kuan Guo , Bin Hu , Chang Liu , Youjun Lu , Wei-Tou Ni , Wen-Hong Ruan , Naoki Seto , Gang Wang , Yue-Liang Wu

The Laser Interferometer Space Antenna (LISA) is a planned space-based observatory to measure gravitational waves in the millihertz frequency band. This frequency band is expected to be dominated by signals from millions of Galactic…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Stefan H. Strub , Luigi Ferraioli , Cédric Schmelzbach , Simon C. Stähler , Domenico Giardini

In the 2030s, a new era of gravitational-wave (GW) observations will dawn as multiple space-based GW detectors, such as the Laser Interferometer Space Antenna, Taiji and TianQin, open the millihertz window for GW astronomy. These detectors…

Instrumentation and Methods for Astrophysics · Physics 2023-09-07 Wen-Hong Ruan , He Wang , Chang Liu , Zong-Kuan Guo

Modern maritime navigation and control systems rely on digital sensing, estimation, and communication pipelines that fuse GNSS, radar, inertial, and AIS data through approaches such as Kalman-filter-based estimators. While these…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Gabriele Oliva , Bianca Mazzà , Roberto Setola

Third-generation gravitational wave detectors such as Einstein Telescope and Cosmic Explorer will have significantly better sensitivities than current detectors, as well as a wider frequency bandwidth. This will increase the number and…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Tomasz Baka , Harsh Narola , Justin Janquart , Anuradha Samajdar , Tim Dietrich , Chris Van Den Broeck

The next decade is expected to see the launch of one or more space based gravitational wave detectors: the European lead Laser Interferometer Space Antenna (LISA); and one or more Chinese mission concepts, Taiji and TianQin. One of the…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Neil J. Cornish
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