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In the tradition of Gabor's 1946 landmark paper [1], we advocate a time-frequency (TF) approach to communications. TF methods for communications have been proposed very early (see the box History). While several tutorial papers and book…

Information Theory · Computer Science 2013-07-19 Gerald Matz , Helmut Bölcskei , Franz Hlawatsch

We consider a population of $n$ agents which communicate with each other in a decentralized manner, through random pairwise interactions. One or more agents in the population may act as authoritative sources of information, and the…

Data Structures and Algorithms · Computer Science 2017-11-30 Bartlomiej Dudek , Adrian Kosowski

We prove a version of the Poincar\'e-Bendixson theorem for certain classes of curves on the 2-sphere which are not required to be the trajectories of an underlying flow or semiflow on the sphere itself. Using this result we extend the…

Dynamical Systems · Mathematics 2026-01-12 Jairo Bochi , Ian D. Morris

This paper deals with the existence of guided waves and edge states in particular two-dimensional media obtained by perturbing a reference periodic medium with honeycomb symmetry. This reference medium is a thin periodic domain (the…

Analysis of PDEs · Mathematics 2025-02-06 Bérangère Delourme , Sonia Fliss

Speech separation in realistic acoustic environments remains challenging because overlapping speakers, background noise, and reverberation must be resolved simultaneously. Although recent time-frequency (TF) domain models have shown strong…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-15 Ui-Hyeop Shin , Hyung-Min Park

An interacting pair of polyacetylene chains are initially modeled as a couple of undimerized polymers described by a Hamiltonian based on the tight-binding model representing the electronic behavior along the linear chain, plus a Dirac's…

Materials Science · Physics 2015-05-19 C. R. Muniz , R. N. Costa Filho

This paper gives sufficient conditions for having complete synchronization of oscillators in connected undirected networks. The considered oscillators are not necessarily identical and the synchronization terms can be nonlinear. An…

Dynamical Systems · Mathematics 2011-10-24 Sébastien Orange , Nathalie Verdière

In this paper, we examine the benefits of multiple antenna communication in random wireless networks, the topology of which is modeled by stochastic geometry. The setting is that of the Poisson bipolar model introduced in [1], which is a…

Information Theory · Computer Science 2016-08-23 Junse Lee , Namyoon Lee , Francois Baccelli

This letter studies information-theoretic security without knowing the eavesdropper's channel fading state. We present an alternative secrecy outage formulation to measure the probability that message transmissions fail to achieve perfect…

Information Theory · Computer Science 2016-11-17 Xiangyun Zhou , Matthew R. McKay , Behrouz Maham , Are Hjorungnes

This paper presents a method to train end-to-end automatic speech recognition (ASR) models using unpaired data. Although the end-to-end approach can eliminate the need for expert knowledge such as pronunciation dictionaries to build ASR…

Computation and Language · Computer Science 2019-05-24 Takaaki Hori , Ramon Astudillo , Tomoki Hayashi , Yu Zhang , Shinji Watanabe , Jonathan Le Roux

We have applied the Lindstedt-Poincar\'e method to study the limit cycle of the van der Pol oscillator, obtaining the numerical coefficients of the series for the period and for the amplitude to order $859$. Hermite-Pad\'e approximants have…

Numerical Analysis · Mathematics 2018-03-14 Paolo Amore , John P. Boyd , Francisco M. Fernández

We examine - both experimentally and numerically - a two-dimensional nonlinear driven electrical lattice with honeycomb structure. Drives are considered over a range of frequencies both outside (below and above) and inside the band of…

Pattern Formation and Solitons · Physics 2020-07-15 F. Palmero , L. Q. English , J. Cuevas-Maraver , P. G. Kevrekidis

We construct and justify leading order weakly nonlinear geometric optics expansions for nonlinear hyperbolic initial value problems, including the compressible Euler equations. The technique of simultaneous Picard iteration is employed to…

Analysis of PDEs · Mathematics 2012-07-18 Matthew Hernandez

Polar encoding, described by Arikan in IEEE Transactions on Information Theory, Vol. 55, No. 7, July 2009, was a milestone for telecommunications. A Polar code distributes information among high and low-capacity channels, showing the…

Information Theory · Computer Science 2025-07-29 Geraldo A. Barbosa

We give a sufficient condition for exponential stability of a network of lossless telegrapher's equations, coupled by linear time-varying boundary conditions. The sufficient conditions is in terms of dissipativity of the couplings, which is…

Dynamical Systems · Mathematics 2024-10-07 Laurent Baratchart , Sébastien Fueyo , Gilles Lebeau , Jean-Baptiste Pomet

We provide an insight into the origin of the phenomena reported 40 years ago by Kerker, Wang and Giles (Journal of the Optical Society of America, 73, 6, pp. 765-767, (1983)). We show that the impedance and refractive index matching…

This paper revisits a classical scenario in communication theory: a waveform sampled at regular intervals is to be encoded so as to minimize distortion in its reconstruction, despite noise. This transformation must be online (causal), to…

Discrete Mathematics · Computer Science 2019-06-04 Leonard J. Schulman , Piyush Srivastava

This paper is concerned with the polariton resonances and their application for cloaking due to anomalous localized resonance (CALR) for the elastic system within the finite frequency regime beyond the quasi-static approximation. We first…

Analysis of PDEs · Mathematics 2019-10-29 Youjun Deng , Hongjie Li , Hongyu Liu

Randomized backoff protocols, such as exponential backoff, are a powerful tool for managing access to a shared resource, often a wireless communication channel (e.g., [1]). For a wireless device to transmit successfully, it uses a backoff…

Data Structures and Algorithms · Computer Science 2022-07-26 Michael A. Bender , Seth Gilbert , Fabian Kuhn , John Kuszmaul , Muriel Médard

Sufficient conditions for synchronization of coupled Lienard-type oscillators are investigated via averaging technique. Coupling considered here is pairwise, unidirectional, and described by a nonlinear function (whose graph resides in the…

Dynamical Systems · Mathematics 2010-03-15 S. Emre Tuna