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An edge colored graph $G$ is rainbow edge connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connectivity of a connected graph $G$, denoted by $rc(G)$, is the smallest number of colors that…

Combinatorics · Mathematics 2012-10-03 Alan Frieze , Charalampos E. Tsourakakis

In this paper we consider an un-cooperative spectrum sharing scenario, wherein a radar system is to be overlaid to a pre-existing wireless communication system. Given the order of magnitude of the transmitted powers in play, we focus on the…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Yinchuan Li , Le Zheng , Marco Lops , Xiaodong Wang

We consider the problem of determining asymptotic bounds on the capacity of a random ad hoc network. Previous approaches assumed a link layer model in which if a transmitter-receiver pair can communicate with each other, i.e., the Signal to…

Information Theory · Computer Science 2008-11-24 Vivek P. Mhatre , Catherine P. Rosenberg , Ravi R. Mazumdar

Intelligent reflecting surface (IRS) is an emerging technology for wireless communications, thanks to its powerful capability to engineer the radio environment. However, in practice, this benefit is attainable only when the passive IRS is…

Information Theory · Computer Science 2023-03-10 Chao Feng , Haiquan Lu , Yong Zeng , Teng Li , Shi Jin , Rui Zhang

Ultra-wideband fiber optical transmission suffers from both Kerr nonlinearity and stimulated Raman scattering (SRS). Mathematical models that address the interplay between Kerr nonlinearity and SRS exist. These models are based on the…

Signal Processing · Electrical Eng. & Systems 2020-12-04 Hami Rabbani , Gabriele Liga , Vinicius Oliari , Lotfollah Beygi , Erik Agrell , Magnus Karlsson , Alex Alvarado

A fine-grained analysis of network performance is crucial for system design. In this paper, we focus on the meta distribution of the signal-to-interference-plus-noise-ratio (SINR) in the mmWave heterogeneous networks where the base stations…

Information Theory · Computer Science 2022-01-20 Le Yang , Fu-Chun Zheng , Shi Jin

The fifth generation of wireless communications (5G) promises massive increases in traffic volume and data rates, as well as improved reliability in voice calls. Jointly optimizing beamforming, power control, and interference coordination…

Networking and Internet Architecture · Computer Science 2020-01-01 Faris B. Mismar , Brian L. Evans , Ahmed Alkhateeb

We introduce the notion of a network's conduciveness, a probabilistically interpretable measure of how the network's structure allows it to be conducive to roaming agents, in certain conditions, from one portion of the network to another.…

Statistical Mechanics · Physics 2010-07-12 Valmir C. Barbosa

The Signal-to-Interference-and-Noise-Ratio (SINR) physical model is one of the legitimate models of wireless networks. Despite of the vast amount of study done in design and analysis of centralized algorithms supporting wireless…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-17 Tomasz Jurdzinski , Dariusz R. Kowalski

Interference is a major impediment to the performance of a wireless network as it has a significant adverse impact on Network Capacity. There has been a gradual and consistent densification of WiFi networks due to Overlapping Basic Service…

Networking and Internet Architecture · Computer Science 2019-04-30 Srikant Manas Kala , Winston K. G. Seah , Vanlin Sathya , Betty Lala

Linear receivers offer a low complexity option for multi-antenna communication systems. Therefore, understanding the outage behavior of the corresponding SINR is important in a fading mobile environment. In this paper we introduce a large…

Information Theory · Computer Science 2012-09-17 Aris L. Moustakas , Pavlos Kazakopoulos

A well-studied coloring problem is to assign colors to the edges of a graph $G$ so that, for every pair of vertices, all edges of at least one shortest path between them receive different colors. The minimum number of colors necessary in…

Data Structures and Algorithms · Computer Science 2018-01-17 L. Sunil Chandran , Anita Das , Davis Issac , Erik Jan van Leeuwen

This work studies the signal-to-interference-plus-noise-ratio (SINR) meta distribution for the uplink transmission of a Poisson network with Rayleigh fading by using the dominant interferer-based approximation. The proposed approach relies…

Information Theory · Computer Science 2023-09-12 Yujie Qin , Mustafa A. Kishk , Mohamed-Slim Alouini

We investigate the problem of network utility maximization in multiple gateways wireless mesh networks by considering Signal to Interference plus Noise Ratio (SINR) as the interference model. The aim is a cross layer design that considers…

Networking and Internet Architecture · Computer Science 2020-01-23 Samaneh Aghashahi , Ghasem Mirjalily , Aliakber Tadaion

This paper proposes a stochastic geometry framework to analyze the SINR and rate performance in a large-scale uplink massive MIMO network. Based on the model, expressions are derived for spatial average SINR distributions over user and base…

Information Theory · Computer Science 2016-04-05 Tianyang Bai , Robert W. Heath

Recently multi-channel multi-radio wireless mesh networks are considered a reliable and cost effective way for internet access in wide area. A major research challenge in this network is selecting least interference channel from available…

Networking and Internet Architecture · Computer Science 2013-11-05 Sarasvathi V , N. CH. S. N. Iyengar , Snehanshu Saha

We give algorithms with constant-factor performance guarantees for several capacity and throughput problems in the SINR model. The algorithms are all based on a novel LP formulation for capacity problems. First, we give a new…

Data Structures and Algorithms · Computer Science 2012-01-20 Magnus M. Halldorsson , Pradipta Mitra

This paper derives a lower bound to the per-node throughput achievable by a wireless network when n source-destination pairs are randomly distributed throughout a disk of radius $n^\gamma$, $ \gamma \geq 0$, propagation is modeled by…

Information Theory · Computer Science 2007-08-01 Enrique J. Duarte-Melo , Awlok Josan , Mingyan Liu , David L. Neuhoff , Sandeep Pradhan

We introduce and explore a family of vertex-coloring problems which, surprisingly enough, have not been considered before despite stemming from the problem of Wi-Fi channel assignment. Given a spectrum of colors, endowed with a matrix of…

Discrete Mathematics · Computer Science 2018-11-19 David Orden , Jose Manuel Gimenez-Guzman , Ivan Marsa-Maestre , Enrique de la Hoz

This paper considers the problem of jointly designing the transmit waveforms and weights for a frequency diverse array (FDA) in a spectrally congested environment in which unintentional spectral interferences exist. Exploiting the…

Signal Processing · Electrical Eng. & Systems 2022-12-21 Wenkai Jia , Andreas Jakobsson , Wen-Qin Wang