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We introduce and analyze a family of heterogeneous multiscale methods for the numerical integration of highly oscillatory systems of delay differential equations with constant delays. The methodology suggested provides algorithms of…

Numerical Analysis · Mathematics 2018-12-03 M. P. Calvo , J. M. Sanz-Serna , Beibei Zhu

There is significant recent interest in designing new modulation schemes for doubly-selective channels with large delay and Doppler spreads, where legacy modulation schemes based on time-frequency signal representations underperform.…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Nishant Mehrotra , Sandesh Rao Mattu , Robert Calderbank

The engineering of specialty lasers with unconventional mode structures is one of the modern challenges in the development of integrated coherent sources. Examples include the use of bound states in the continuum, microlasers with orbital…

This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations. System-theoretic results are provided for both classes of…

Optimization and Control · Mathematics 2019-02-20 Iasson Karafyllis , Miroslav Krstic

Delay-Doppler multiplexing has recently stirred a great deal of attention in research community. While multiple studies have investigated pulse-shaping aspects of this technology, it is challenging to identify the relationships between…

Signal Processing · Electrical Eng. & Systems 2023-11-22 Mohsen Bayat , Arman Farhang

The line-of-sight (LOS) requirement of free-space optical (FSO) systems can be relaxed by employing optical intelligent reflecting surfaces (IRSs). In this paper, we model the impact of the IRS-induced delay dispersion and derive the…

Signal Processing · Electrical Eng. & Systems 2024-03-15 Hedieh Ajam , Vahid Jamali , Bernhard Schmauss , Robert Schober

A design methodology for planar loaded antenna arrays is proposed to synthesize a perfect anomalous reflection into an arbitrary direction by optimizing the scattering characteristics of passively loaded array antennas. It is based on…

Applied Physics · Physics 2024-09-26 Sravan K. R. Vuyyuru , Risto Valkonen , Sergei A. Tretyakov , Do-Hoon Kwon

This paper concerns some spectral properties of the scalar dynamical system defined by a linear delay-differential equation with two positive delays. More precisely, the existing links between the delays and the maximal multiplicity of the…

Dynamical Systems · Mathematics 2023-02-28 Sébastien Fueyo , Guilherme Mazanti , Islam Boussaada , Yacine Chitour , Silviu-Iulian Niculescu

Despite the significant progress that has been made on estimating optical flow recently, most estimation methods, including classical and deep learning approaches, still have difficulty with multi-scale estimation, real-time computation,…

Computer Vision and Pattern Recognition · Computer Science 2018-05-09 Yi Zhu , Shawn Newsam

The use of polarized beams enhance the possibility of the precision measurements at the International Linear Collider (ILC). In order to preserve the degree of polarization during beam transport spin rotators are included in the current TDR…

Relaying techniques for millimeter-wave wireless networks represent a powerful solution for improving the transmission performance. In this work, we quantify the benefits in terms of delay and throughput for a random-access multi-user…

Networking and Internet Architecture · Computer Science 2019-03-08 Cristian Tatino , Nikolaos Pappas , Ilaria Malanchini , Lutz Ewe , Di Yuan

This paper proposes a technique for designing flat lenses using Field Transformation (FT), as opposed to Ray Optics (RO) or Transformation Optics (TO). The lens design consists of 10 layers of graded index dielectric in the radial direction…

Optics · Physics 2013-05-06 Sidharath Jain , Mohamed Abdel-Mageed , Raj Mittra

Railway systems form an important means of transport across the world. However, congestions or disruptions may significantly decrease these systems' efficiencies, making predicting and understanding the resulting train delays a priority for…

Physics and Society · Physics 2021-05-14 Mark M. Dekker , Alexey N. Medvedev , Jan Rombouts , Grzegorz Siudem , Liubov Tupikina

Nonlinear dynamical systems with time delay are abundant in applications, but are notoriously difficult to analyse and predict because delay-induced effects strongly depend on the form of the nonlinearities involved, and on the exact way…

Chaotic Dynamics · Physics 2021-11-03 Natalia B. Janson , Christopher J. Marsden

A planar reflective phaser based on an open-ended edge-coupled-line structure is proposed. This phaser is the first reported phaser that combines the benefits of high resolution, inherent to cross-coupled resonator reflective phasers, and…

Optics · Physics 2014-04-11 Lianfeng Zou , Qingfeng Zhang , Christophe Caloz

The following geometric vehicle scheduling problem has been considered: given continuous curves $f_1, \ldots, f_n : \mathbb{R} \rightarrow \mathbb{R}^2$, find non-negative delays $t_1, \ldots, t_n$ minimizing $\max \{ t_1, \ldots, t_n \}$…

Computational Geometry · Computer Science 2021-07-13 Jean-Lou De Carufel , Darryl Hill , Anil Maheshwari , Sasanka Roy , Luís Fernando Schultz Xavier da Silveira

In overlay networks, both local and long-distance links appear as a single hop to a routing protocol. Traditional routing metrics (based on hop count or packet loss) fail to take the differences between such links into account. In this…

Networking and Internet Architecture · Computer Science 2014-03-17 Baptiste Jonglez , Matthieu Boutier , Juliusz Chroboczek

In this work, we present the first stability results for approximate predictors in multi-input non-linear systems with distinct actuation delays. We show that if the predictor approximation satisfies a uniform (in time) error bound,…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Filip Bajraktari , Luke Bhan , Miroslav Krstic , Yuanyuan Shi

An RF helical deflector is a type of electron and ion optics device that applies a time-dependent rotating transverse electric or magnetic field by means of time-dependent RF voltage applied on two opposite conducting helical structures…

Accelerator Physics · Physics 2026-01-16 Hayk Lekdar Gevorgyan

Lane detection is one of the most important functions for autonomous driving. In recent years, deep learning-based lane detection networks with RGB camera images have shown promising performance. However, camera-based methods are inherently…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Dong-Hee Paek , Kevin Tirta Wijaya , Seung-Hyun Kong