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Broadband beamforming is a technique to obtain the signal with a wide range of frequencies. It maintains the signal integrity and spatial selectivity over frequencies. This is important in several applications such as microphone array,…

Signal Processing · Electrical Eng. & Systems 2020-03-03 Phan Le Son

In antenna arrays, wave propagation modeling based on Euclidean principles is typically represented by steering vectors or signals. This paper provides a new, chirp-based, interpretation of steering vectors in the Spherical Wavefront Regime…

Signal Processing · Electrical Eng. & Systems 2025-05-09 Gilles Monnoyer , Laurence Defraigne , Baptiste Sambon , Jérôme Louveaux , Luc Vandendorpe

We derive an analytical expression for the effective indices of modes of circular step-index fibers valid near their cutoff wavelengths. The approximation, being a first-order Taylor series of a smooth function, is also valid for the real…

Optics · Physics 2024-12-17 Aku Antikainen , Robert W. Boyd

Relying upon the usefulness of the \mu-\tau symmetry, we find a new type of neutrino mass texture with a single phase parameter \delta that describes maximal atmospheric neutrino mixing and Dirac CP violation due to the presence of \delta.…

High Energy Physics - Phenomenology · Physics 2014-11-18 Ichiro Aizawa , Masaki Yasue

A closed-form formula for the nonlinear interference estimation of arbitrary modulation formats in ultra-wideband transmission systems is presented. Enabled by the proposed approach, the formula is applied to the entire S+C+L band (20 THz)…

Signal Processing · Electrical Eng. & Systems 2020-06-11 Daniel Semrau , Lidia Galdino , Eric Sillekens , Domanic Lavery , Robert I. Killey , Polina Bayvel

For wireless communications using linear large-scale antenna arrays, we define a receiving coordinate system and parameterization strategy to facilitate the study of the impact of three-dimensional position and rotation of the arrays on the…

Information Theory · Computer Science 2022-03-21 Liqin Ding , Erik G. Ström , Jiliang Zhang

We study some spectral properties of a simple two-dimensional model for small angle defects in crystals and alloys. Starting from a periodic potential $V \colon \R^2 \to \R$, we let $V_\theta(x,y) = V(x,y)$ in the right half-plane $\{x \ge…

Mathematical Physics · Physics 2011-08-23 Rainer Hempel , Martin Kohlmann

The design and implementation of low-profile antennas has been analyzed in past decades from different perspectives while the purpose is to have a small size in the device, and an adequate electromagnetic behavior. This work pursues a…

Signal Processing · Electrical Eng. & Systems 2020-11-25 Enrique Lizarraga , Walter Herrera

Given a contact structure on a manifold $V$ together with a supporting open book decomposition, Bourgeois gave an explicit construction of a contact structure on $V \times \mathbb{T}^2$. We prove that all such structures are universally…

Symplectic Geometry · Mathematics 2022-06-15 Jonathan Bowden , Fabio Gironella , Agustin Moreno

We consider in R^2 the generalized elastica functional defined, for smooth functions, as the p-elastica energies of the level lines integrated over all levels. Extending the functional to L1, we study its L1-lower semicontinuous envelope…

Optimization and Control · Mathematics 2011-12-12 Simon Masnou , Giacomo Nardi

A novel type of symmetry breaking is reported for the two-channel Kondo lattice where conduction electrons have spin and orbital (channel) degrees of freedom. Using the continuous-time quantum Monte Carlo and the dynamical mean-field…

Strongly Correlated Electrons · Physics 2011-12-09 Shintaro Hoshino , Junya Otsuki , Yoshio Kuramoto

The Fourier transform of the indicator function of arbitrary polygons and polyhedra is computed for complex wavevectors. Using the divergence theorem and Stokes' theorem, closed expressions are obtained. Apparent singularities, all…

Mathematical Physics · Physics 2021-06-01 Joachim Wuttke

A planar technology stripline-fed slot radiating element in transmission configuration is proposed. Its main advantages are the broad impedance bandwidth achieved and the property that it only radiates into half-space, which are obtained,…

Applied Physics · Physics 2018-10-09 Alberto Hernández-Escobar , Elena Abdo-Sánchez , Carlos Camacho-Peñalosa

Disordered hyperuniform materials are an emerging class of exotic amorphous states of matter that endow them with singular physical properties. Here, we generalize the Fourier-space based numerical construction procedure for designing {\it…

Materials Science · Physics 2023-07-27 Wenlong Shi , David Keeney , Duyu Chen , Yang Jiao , Salvatore Torquato

Consider the cellular automata (CA) of $\mathbb{Z}^{2}$-action $\Phi$ on the space of all doubly infinite sequences with values in a finite set $\mathbb{Z}_{r}$, $r \geq 2$ determined by cellular automata $T_{F[-k, k]}$ with an additive…

Dynamical Systems · Mathematics 2017-12-27 Hasan Akin

In this paper, a transmit antenna selection scheme, which is based on shadowing side information, is investigated. In this scheme, the selected single transmit antenna provides the highest shadowing coefficient between transmitter and…

Information Theory · Computer Science 2012-09-20 Ahmet Yilmaz , Ferkan Yilmaz , Mohamed-Slim Alouini , Oğuz Kucur

Quantum materials are epitomized by the influence of collective modes upon their macroscopic properties. Relatively few examples exist, however, whereby coherence of the ground-state wavefunction directly contributes to the conductivity.…

We derive a physics-based, closed-form model linking antenna directivity to the root-mean-square (RMS) delay spread and mean excess delay in large reverberant indoor environments. Starting from the Rician K-factor-the ratio of line-of-sight…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Dimitrios C. Tzarouchis

This paper presents a novel closed-form solution for a low-order system frequency response (SFR) model that is accurate for all time periods and an accompanying approximation for representing primary frequency responses at two different…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Julius Susanto , Alireza Fereidouni , Pierluigi Mancarella , Dean Sharafi

In "VC density in some theories without the independence property" the authors asked whether any partial order of finite width has the VC1 property (i.e. every formula in one variable has UDTFS in one parameter). We give a negative answer…

Logic · Mathematics 2024-06-27 Timo Krisam , Ori Segel
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