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In this article the problem for the using of uniformly rotating coordinate system is considered. The correct relations between the kinematical quantities characterizing the motion of a body relative to uniformly rotating system and static…

General Physics · Physics 2008-06-17 Dimitar G. Stoyanov

We introduce a radar system capable of tracking a $5$mm spherical target continuously in three dimensions. The $10$GHz (X-band) radar system has a transmission power of $1$W and operates in the near field of the horn antennae. By comparing…

Instrumentation and Detectors · Physics 2017-06-07 Felix Ott , Stephan Herminghaus , Kai Huang

Barycentric coordinates are commonly used in Euclidean geometry. The adaptation of barycentric coordinates for use in hyperbolic geometry gives rise to hyperbolic barycentric coordinates, known as gyrobarycentric coordinates. The aim of…

Mathematical Physics · Physics 2013-04-02 Abraham Albert Ungar

Dimensionality reduction is a crucial technique in data analysis, as it allows for the efficient visualization and understanding of high-dimensional datasets. The circular coordinate is one of the topological data analysis techniques…

Algebraic Topology · Mathematics 2023-01-31 Taejin Paik , Jaemin Park

This paper elaborates the signal processing techniques for weather radars and their relative merits with respect to a similar phased array configuration. As will be shown in paper that this sub-aperture based configuration gives spatial…

Signal Processing · Electrical Eng. & Systems 2024-10-18 Mohit Kumar , V Chandrasekar

This study presents the progress of our recent research regarding wireless measurements of the human body. First, we explain radar imaging algorithms for screening passengers at security checkpoints that can process data faster than…

Signal Processing · Electrical Eng. & Systems 2020-12-04 Takuya Sakamoto

Relativistic stereometric coordinates supplied by relativistic auto-locating positioning systems made up of four satellites supplemented by a fifth one are defined in addition to the well-known emission and reception coordinates. Such a…

Mathematical Physics · Physics 2014-07-23 Jacques L. Rubin

We establish fundamental bounds on subwavelength resolution for the radar ranging problem, ``super radar''. Information theoretical metrics are applied to probe the resolution limits for the case of both direct electric field measurement…

Optics · Physics 2024-06-04 Andrew N. Jordan , John C. Howell

Some authors have defended the claim that one needs to be able to define 'physical coordinate systems' and 'observables' in order to make sense of general relativity. Moreover, in Rovelli (Physical Review D, 65(4), 044017 2002), Rovelli…

History and Philosophy of Physics · Physics 2024-10-14 Álvaro Mozota Frauca

An analogue of the geometrical optics for description of the modal structure of a wave field in a range-dependent waveguide is considered. In the scope of this approach the mode amplitude is expressed through solutions of the ray equations.…

Atmospheric and Oceanic Physics · Physics 2009-11-10 A. L. Virovlyansky , A. Yu. Kazarova , L. Ya. Lyubavin

We investigate cooperative radar and communications signaling. While each system typically considers the other system a source of interference, by considering the radar and communications operations to be a single joint system, the…

Information Theory · Computer Science 2016-11-15 Daniel W. Bliss

Continuous monitoring of vital signs is of paramount importance. These critical physiological parameters play a crucial role in the early detection of conditions that affect the well-being of a patient. However, conventional contact-based…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Gabriel Beltrão , Udo Schroeder

Off-road robotics have traditionally utilized lidar for local navigation due to its accuracy and high resolution. However, the limitations of lidar, such as reduced performance in harsh environmental conditions and limited range, have…

Robotics · Computer Science 2023-10-27 Timothy Overbye , Srikanth Saripalli

The relativity of Global Positioning System (GPS) pseudorange measurements is explored within the geometrical optics approximation in the curved space-time near Earth. A space-time grid for navigation is created by the discontinuities…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thomas B. Bahder

Joint radar and communication (JRC) technology has become important for civil and military applications for decades. This paper introduces the concepts, characteristics and advantages of JRC technology, presenting the typical applications…

Information Theory · Computer Science 2021-03-02 Zhiyong Feng , Zixi Fang , Zhiqing Wei , Xu Chen , Zhi Quan , Danna Ji

We consider the object recognition problem in autonomous driving using automotive radar sensors. Comparing to Lidar sensors, radar is cost-effective and robust in all-weather conditions for perception in autonomous driving. However, radar…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Peizhao Li , Pu Wang , Karl Berntorp , Hongfu Liu

We show that several types of graph drawing in the hyperbolic plane require features of the drawing to be separated from each other by sub-constant distances, distances so small that they can be accurately approximated by Euclidean…

Computational Geometry · Computer Science 2021-08-18 David Eppstein

An uniformly accelerated observer can build his proper system of coordinates in a delimited sector of the flat Minkowski spacetime. The properties of the position and time coordinate lines for such an observer are studied and compared with…

Classical Physics · Physics 2008-11-26 Claude Semay

Looming, traditionally defined as the relative expansion of objects in the observer's retina, is a fundamental visual cue for perception of threat and can be used to accomplish collision free navigation. The measurement of the looming cue…

Computer Vision and Pattern Recognition · Computer Science 2022-03-16 Juan D. Yepes , Daniel Raviv

This report presents a theoretical complexity analysis and empirical scalability analysis of the Requirements and Architecture Decision Analyser (RADAR).

Software Engineering · Computer Science 2017-02-13 Saheed A. Busari , Emmanuel Letier