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We consider the problem of localization of Poisson source by the observations of inhomogeneous Poisson processes. We suppose that there are $k$ detectors on the plane and each detector provides the observations of Poisson processes whose…

Statistics Theory · Mathematics 2018-06-19 Oleg V. Chernoyarov , Yury A. Kutoyants

In this paper, how to optimally deploy base station density in a small cell network with energy-efficient power control was investigated. Base stations (BSs) and users form two independent Poisson point processes (PPPs) in the network.…

Information Theory · Computer Science 2015-02-20 Ching-Ting Peng , Li-Chun Wang , Chun-Hung Liu

The paper considers a Cox process where the stochastic intensity function for the Poisson data model is itself a non-homogeneous Poisson process. We show that it is possible to obtain the marginal data process, namely a non-homogeneous…

Methodology · Statistics 2023-04-17 Shuying Wang , Stephen G. Walker

In this paper, we develop a probabilistic framework for analyzing coded random access. Our framework is based on a new abstract receiver (decoder), called a Poisson receiver, that is characterized by a success probability function of a…

Networking and Internet Architecture · Computer Science 2021-07-23 Che-Hao Yu , Lin Huang , Cheng-Shang Chang , Duan-Shin Lee

In this work, we analyze the performance of the uplink (UL) of a massive MIMO network considering an asymptotically large number of antennas at base stations (BSs). We model the locations of BSs as a homogeneous Poisson point process (PPP)…

Information Theory · Computer Science 2018-05-07 Priyabrata Parida , Harpreet S. Dhillon

A K-tier heterogeneous downlink millimeter wave (mmWave) cellular network with user-centric small cell deployments is studied in this paper. In particular, we consider a heterogeneous network model with user equipments (UEs) being…

Information Theory · Computer Science 2017-07-25 Xueyuan Wang , Esma Turgut , M. Cenk Gursoy

This paper focuses on modeling and analysis of the temporal performance variations experienced by a mobile user in a wireless network and its impact on system level design. We consider a simple stochastic geometry model: the infrastructure…

Information Theory · Computer Science 2016-09-29 Pranav Madadi , François Baccelli , Gustavo de Veciana

Consider a dynamical network model featuring mobile stations on the Euclidean plane. The initial locations of the stations are given by a homogeneous Poisson point process. The stations are all moving at a constant speed and in a random…

Probability · Mathematics 2026-05-19 François Baccelli , Sanjoy Kumar Jhawar

In this paper, two parametric probability distributions capable to describe the statistics of X-ray photon detection by a CCD are presented. They are formulated from simple models that account for the pile-up phenomenon, in which two or…

Instrumentation and Methods for Astrophysics · Physics 2013-10-30 Diego J. R. Sevilla

Probabilistic load flow (PLF) calculation, as a fundamental tool to analyze transmission system behavior, has been studied for decades. Despite a variety of available methods, existing PLF approaches rarely take system control into account.…

Systems and Control · Electrical Eng. & Systems 2022-03-02 Mengshuo Jia , Qianni Cao , Chen Shen , Gabriela Hug

One approach for constructing copula functions is by multiplication. Given that products of cumulative distribution functions (CDFs) are also CDFs, an adjustment to this multiplication will result in a copula model, as discussed by…

Machine Learning · Statistics 2015-11-10 Ricardo Silva

We study the performance of random linear network coding for time division duplexing channels with Poisson arrivals. We model the system as a bulk-service queue with variable bulk size. A full characterization for random linear network…

Information Theory · Computer Science 2009-03-26 Daniel E. Lucani , Muriel Médard , Milica Stojanovic

Offloading of cellular traffic through a wireless local area network (WLAN) is theoretically evaluated. First, empirical data sets of the locations of WLAN internet access points are analyzed and an inhomogeneous Poisson process consisting…

Performance · Computer Science 2014-03-12 Hiroshi Saito , Ryoichi Kawahara

In this paper we study the Poisson Hypothesis, which is a device to analyze approximately the behavior of large queueing networks. We prove it in some simple limiting cases. We show in particular that the corresponding dynamical system,…

Probability · Mathematics 2007-05-23 A. Rybko , S. Shlosman

Spatial telecommunication systems have evolved along the years, leading to some concerns that telecommunication companies are facing today. The main inquietude is the ability to provide quality service to customers or users in a dense…

Probability · Mathematics 2022-10-25 A. K. Boahen , T. Katsekpor , K. Doku-Amponsah

Compared with conventional regular hexagonal cellular models, random cellular network models resemble real cellular networks much more closely. However, most studies of random cellular networks are based on the Poisson point process and do…

Networking and Internet Architecture · Computer Science 2017-11-01 Xiaohu Ge , Bangzheng Du , Qiang Li , Diomidis S. Michalopoulos

Consider the following random spatial network: in a large disk, construct a network using a stationary and isotropic Poisson line process of unit intensity. Connect pairs of points using the network, with initial / final segments of the…

Probability · Mathematics 2014-11-03 Wilfrid S. Kendall

A technique is presented to evaluate the performance of a wireless link with a multi-antenna linear Minimum-Mean-Square Error (MMSE) receiver in the presence of interferers distributed according to non-homogeneous Poisson processes or…

Information Theory · Computer Science 2014-04-08 Junjie Zhu , Siddhartan Govindasamy

We consider a user-centric co-operative cellular network, where base stations (BSs) close to a mobile co-operate to detect its signal using a (joint) linear minimum-mean-square-error receiver. The BSs are at arbitrary positions and mobiles…

Information Theory · Computer Science 2018-02-14 Siddhartan Govindasamy , Itsik Bergel

Impact of mobility will be increasingly important in future generation wireless services and the related challenges will need to be addressed. Sojourn time, the time duration that a mobile user stays within a cell, is a mobility-aware…

Information Theory · Computer Science 2020-01-08 Mohammad Salehi , Ekram Hossain
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