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In this paper, the capacity of wireless channels is characterized based on electromagnetic and antenna theories with only minimal assumptions. We assume the transmitter can generate an arbitrary current distribution inside a spherical…

Information Theory · Computer Science 2016-11-17 Wonseok Jeon , Sae-Young Chung

Physical layer security is an emerging technique to improve the wireless communication security, which is widely regarded as a complement to cryptographic technologies. To design physical layer security techniques under practical scenarios,…

Information Theory · Computer Science 2013-07-22 Biao He , Xiangyun Zhou , Thushara D. Abhayapala

In recent times, the use of stochastic geometry has become a popular and important tool for performance analysis of next-generation dense small cell wireless networks. Usually, such networks are modeled using 2 dimensional spatial Poisson…

Information Theory · Computer Science 2020-01-01 Aritra Chatterjee , Suvra Sekhar Das

This paper develops a stochastic geometry-based approach for the modeling and analysis of single- and multi-cluster wireless networks. We first define finite homogeneous Poisson point processes to model the number and locations of the…

Information Theory · Computer Science 2017-12-27 Seyed Mohammad Azimi-Abarghouyi , Behrooz Makki , Martin Haenggi , Masoumeh Nasiri-Kenari , Tommy Svensson

This paper provides an overview of the features of fifth generation (5G) wireless communication systems now being developed for use in the millimeter wave (mmWave) frequency bands. Early results and key concepts of 5G networks are…

Wireless access points on unmanned aerial vehicles (UAVs) are being considered for mobile service provisioning in commercial networks. To be able to efficiently use these devices in cellular networks it is necessary to first have a…

Networking and Internet Architecture · Computer Science 2017-10-13 Boris Galkin , Jacek Kibiłda , Luiz A. DaSilva

Characterizing cellular network performance is complex. Current representations of cellular coverage, such as service provider and FCC coverage maps, focus only on the minimal level of available bandwidth (e.g., 35/3Mbps download/upload…

Networking and Internet Architecture · Computer Science 2026-04-01 Varshika Srinivasavaradhan , Morgan Vigil-Hayes , Ellen Zegura , Elizabeth Belding

We introduce appropriate definitions of dimensions in order to characterize the fractal properties of complex networks. We compute these dimensions in a hierarchically structured network of particular interest. In spite of the nontrivial…

Condensed Matter · Physics 2007-09-23 Victor M. Eguiluz , Emilio Hernandez-Garcia , Oreste Piro , Konstantin Klemm

In this work, we study the fractal and multifractal properties of a family of fractal networks introduced by Gallos {\it et al.} ({\it Proc. Natl. Acad. Sci. U.S.A.}, 2007, {\bf 104}: 7746). In this fractal network model, there is a…

Statistical Mechanics · Physics 2015-06-18 Bao-Gen Li , Zu-Guo Yu , Yu Zhou

We consider arbitrary dense wireless networks, in which $n$ nodes are placed in an arbitrary (deterministic) manner on a square region of unit area and communicate with each other over Gaussian fading channels. We provide inner and outer…

Information Theory · Computer Science 2011-08-09 Urs Niesen

A method to evaluate the statistical properties of the reception angle seen at the input receiver that considers the receiving antenna pattern is presented. In particular, the impact of the direction and beamwidth of the antenna pattern on…

Information Theory · Computer Science 2025-03-25 Cezary Ziolkowski , Jan M. Kelner

We study the problem of wireless network resilience to node failures from a percolation-based perspective. In practical wireless networks, it is often the case that the failure probability of a node depends on its degree (number of…

Networking and Internet Architecture · Computer Science 2009-08-28 Zhenning Kong , Edmund M. Yeh

The conventional mathematical methods are based on characteristic length, while urban form has no characteristic length in many aspects. Urban area is a measure of scale dependence, which indicates the scale-free distribution of urban…

Physics and Society · Physics 2020-11-17 Yanguang Chen

Caching at the edge is a promising technique to cope with the increasing data demand in wireless networks. This paper analyzes the performance of cellular networks consisting of a tier macro-cell wireless backhaul nodes overlaid with a tier…

Information Theory · Computer Science 2017-05-25 Italo Atzeni , Marco Maso , Imène Ghamnia , Ejder Baştuğ , Mérouane Debbah

Over the past three decades, describing the reality surrounding us using the language of complex networks has become very useful and therefore popular. One of the most important features, especially of real networks, is their complexity,…

Physics and Society · Physics 2024-10-16 Rafal Rak , Ewa Rak

In this work we introduce Dynamic Random Geometric Graphs as a basic rough model for mobile wireless sensor networks, where communication distances are set to the known threshold for connectivity of static random geometric graphs. We…

Discrete Mathematics · Computer Science 2007-05-23 Josep Diaz , Dieter Mitsche , Xavier Perez

The local structure of a fractal set is described by its dimension $D$, which is the exponent of a power-law relating the mass ${\cal N}$ in a ball to its radius $\epsilon$: ${\cal N}\sim \epsilon^D$. It is desirable to characterise the…

Fluid Dynamics · Physics 2015-06-19 Michael Wilkinson , John Grant

This paper describes how realistic neuromorphic networks can have their connectivity properties fully characterized in analytical fashion. By assuming that all neurons have the same shape and are regularly distributed along the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Luciano da F. Costa

This work describes a novel image analysis approach to characterize the uniformity of objects in agglomerates by using the propagation of normal wavefronts. The problem of width uniformity is discussed and its importance for the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Luciano da F. Costa , Giancarlo Mutinari , David Schubert

Understanding the intricate architecture of brain networks and its connection to brain function is essential for deciphering the underlying principles of cognition and disease. While traditional graph-theoretical measures have been widely…

Chaotic Dynamics · Physics 2025-11-13 Anca Radulescu , Eva Kaslik , Alexandru Fikl , Johan Nakuci , Sarah Muldoon , Michael Anderson
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