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Only a causal class among the 199 Lorentzian ones, which do not exists in the Newtonian spacetime, is privileged to construct a generic, gravity free and immediate (non retarded) relativistic positioning system. This is the causal class of…

General Relativity and Quantum Cosmology · Physics 2010-02-01 J. -F. Pascual-Sánchez , A. San Miguel , F. Vicente

Global Navigation Satellite Systems (GNSS)-based positioning plays a crucial role in various applications, including navigation, transportation, logistics, mapping, and emergency services. Traditional GNSS positioning methods are…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Adyasha Mohanty , Grace Gao

In standard quantum mechanics, reference frames are treated as abstract entities. We can think of them as idealized, infinite-mass subsystems which decouple from the rest of the system. In nature, however, all reference frames are realized…

Quantum Physics · Physics 2023-08-30 Viktor Zelezny

As gravity is a long-range force, one might a priori expect the Universe's global matter distribution to select a preferred rest frame for local gravitational physics. At the post-Newtonian approximation, two parameters suffice to describe…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Thibault Damour , Gilles Esposito-Farese

In urban environments, global navigation satellite system (GNSS) positioning is often compromised by signal blockages and multipath effects caused by buildings, leading to significant positioning errors. To address this issue, this study…

Signal Processing · Electrical Eng. & Systems 2025-07-18 Sanghyun Kim , Jiwon Seo

Most of the routing algorithms for unmanned vehicles, that arise in data gathering and monitoring applications in the literature, rely on the Global Positioning System (GPS) information for localization. However, disruption of GPS signals…

Robotics · Computer Science 2017-12-21 Kaarthik Sundar , Sohum Misra , Sivakumar Rathinam , Rajnikant Sharma

We focus on the possibility of measuring the gravitomagnetic effects due to the rotation of the Earth, by means of a space-based experiment that exploits satellites in geostationary orbits. Due to the rotation of the Earth, there is an…

General Relativity and Quantum Cosmology · Physics 2019-05-21 Matteo Luca Ruggiero , Angelo Tartaglia

In this work, we argue that Gaussian splatting is a suitable unified representation for autonomous robot navigation in large-scale unstructured outdoor environments. Such environments require representations that can capture complex…

Robotics · Computer Science 2025-05-20 Dexter Ong , Yuezhan Tao , Varun Murali , Igor Spasojevic , Vijay Kumar , Pratik Chaudhari

Urban environments offer a challenging scenario for autonomous driving. Globally localizing information, such as a GPS signal, can be unreliable due to signal shadowing and multipath errors. Detailed a priori maps of the environment with…

Robotics · Computer Science 2018-10-11 Jordan Chipka , Mark Campbell

Accurate localization is crucial for various applications, including autonomous vehicles and next-generation wireless networks. However, the reliability and precision of Global Navigation Satellite Systems (GNSS), such as the Global…

Signal Processing · Electrical Eng. & Systems 2024-08-20 Gouranga Charan , Tawfik Osman , Ahmed Alkhateeb

Fully relativistic coordinates have been proposed for (relativistically) running a "GPS" system. These coordinates are the arrival times of the light signals emitted by four "satellites" (clocks). Replacing the signals emitted by four…

General Relativity and Quantum Cosmology · Physics 2009-05-27 Bartolome Coll , Albert Tarantola

All existing 4-coordinate systems centered on the world-line of an accelerated observer are only locally defined like it happens for Fermi coordinates both in special and general relativity. As a consequence, it is not known how…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Alba , Luca Lusanna

Re-localizing a camera from a single image in a previously mapped area is vital for many computer vision applications in robotics and augmented/virtual reality. In this work, we address the problem of estimating the 6 DoF camera pose…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Mohammad Altillawi , Zador Pataki , Shile Li , Ziyuan Liu

The global navigation satellite system (GNSS) continues to evolve in order to meet the demands of emerging applications such as autonomous driving and smart environmental monitoring. However, these advancements are accompanied by a rise in…

Signal Processing · Electrical Eng. & Systems 2025-11-03 Leatile Marata , Mariona Jaramillo-Civill , Tales Imbiriba , Petri Välisuo , Heidi Kuusniemi , Elena Simona Lohan , Pau Closas

Global Navigation Satellite Systems (GNSS) provide global positioning and timing. Multiple receivers with known reference positions (stations) can assist mobile receivers (rovers) in obtaining GNSS corrections and achieve centimeter-level…

Cryptography and Security · Computer Science 2024-06-13 Marco Spanghero , Panos Papadimitratos

In autonomous robotic systems, precise localization is a prerequisite for safe navigation. However, in complex urban environments, GNSS positioning often suffers from signal occlusion and multipath effects, leading to unreliable absolute…

Robotics · Computer Science 2025-07-09 Haitao Lu , Haijier Chen , Haoze Liu , Shoujian Zhang , Bo Xu , Ziao Liu

Global Navigation Satellite Systems (GNSS) brought navigation to the masses. Coupled with smartphones, the blue dot in the palm of our hands has forever changed the way we interact with the world. Looking forward, cyber-physical systems…

Signal Processing · Electrical Eng. & Systems 2020-06-11 Tyler G. R. Reid , Bryan Chan , Ashish Goel , Kazuma Gunning , Brian Manning , Jerami Martin , Andrew Neish , Adrien Perkins , Paul Tarantino

We construct a set of reference frames for description of the orbital and rotational motion of the Moon. We use a scalar-tensor theory of gravity depending on two parameters of the parametrized post-Newtonian (PPN) formalism and utilize the…

General Relativity and Quantum Cosmology · Physics 2009-11-23 Yi Xie , Sergei Kopeikin

A new approach to special relativity is presented which introduces coordinate systems with imaginary time axes, observation systems, and coordinate bases.

General Physics · Physics 2008-05-17 Y. -H. Choi

This paper is an exploration of the nuanced realm of reference frames within the framework of General Relativity. Our analysis exposes a violation of Earman's SP1 principle in scenarios involving fields that are dynamically uncoupled, a…

History and Philosophy of Physics · Physics 2024-10-18 Nicola Bamonti , Henrique Gomes
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