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Over the past decade, many works on the modeling of wireless networks using stochastic geometry have been proposed. Results about probability of coverage, throughput or mean interference, have been provided for a wide variety of networks…

Networking and Internet Architecture · Computer Science 2016-02-08 Alexandre Mouradian

In this paper, a novel Poisson hole process (PHP) modeling of wireless networks is proposed. We consider a more general hole shape, i.e. circular sector holes in a random direction, to capture the spatial separation between tiers in a…

Information Theory · Computer Science 2018-12-17 Mehdi Sattari , Aliazam Abbasfar

For device-to-device (D2D) communications underlaying a cellular network with uplink resource sharing, both cellular and D2D links cause significant co-channel interference. In this paper, we address the critical issue of interference…

Networking and Internet Architecture · Computer Science 2017-10-24 Junnan Yang , Ming Ding , Guoqiang Mao

The performance analysis of heterogeneous cellular networks (HetNets), that relied mostly on the homogeneous Poisson point process (PPP) for the spatial distribution of the users and base stations (BSs), has seen a major transition with the…

Information Theory · Computer Science 2020-07-14 Chiranjib Saha , Mehrnaz Afshang , Harpreet S. Dhillon

We analyze the uplink of coordinated multi-point (CoMP) networks in which cooperation can be amongst 2 or 3 base stations (BSs). We consider a 2D network of BSs on a regular hexagonal lattice wherein the cooperation tessellates the 2D plane…

Information Theory · Computer Science 2015-01-20 S. Alireza Banani , Raviraj S. Adve

Spatial Poisson Point Process (PPP) network, whose Base Stations (BS)s are distributed according to a Poisson distribution, is currently used as a accurate model to analyse the performance of a cellular network. Most current work on…

Information Theory · Computer Science 2016-07-13 Sinh Cong Lam , Kumbesan Sandrasegaran

Owing to its unparalleled tractability, the Poisson point process (PPP) has emerged as a popular model for the analysis of cellular networks. Considering a stationary point process of users, which is independent of the base station (BS)…

Information Theory · Computer Science 2019-08-29 Praful D. Mankar , Priyabrata Parida , Harpreet S. Dhillon , Martin Haenggi

A general stochastic model is developed for the total interference in wideband systems, denoted as the PNSC(alpha) Interference Model. It allows one to obtain, analytic representations in situations where (a) interferers are distributed…

Applications · Statistics 2012-07-09 Gareth W. Peters , Ido Nevat , Francois Septier , Laurent Clavier

Marked point process data arise when events occur in a space with event-level marks. We study clustering of replicated marked Poisson point processes and introduce Dirichlet process mixtures of marked Poisson point processes, a Bayesian…

Methodology · Statistics 2026-05-12 Minsung Choi , Seonghyun Jeong

This paper presents a rigorous mathematical analysis, alongside simulation studies, of a spatially extended stochastic electrophysiology model, the Hodgkin-Huxley model of the squid giant axon being a classical example. Although most…

Probability · Mathematics 2025-02-05 Wai-Tong Louis Fan , Joshua A. McGinnis , Yoichiro Mori

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

Over the last decade, the growing amount of UL and DL mobile data traffic has been characterized by substantial asymmetry and time variations. Dynamic time-division duplex (TDD) has the capability to accommodate to the traffic asymmetry by…

Networking and Internet Architecture · Computer Science 2015-04-14 Hongguang Sun , Matthias Wildemeersch , Min Sheng , Tony Q. S. Quek

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

The spatial structure of transmitters in wireless networks plays a key role in evaluating the mutual interference and hence the performance. Although the Poisson point process (PPP) has been widely used to model the spatial configuration of…

Information Theory · Computer Science 2014-01-16 Na Deng , Wuyang Zhou , Martin Haenggi

A popular concept which describes the structure of polymer interfaces by ``intrinsic profiles'' centered around a two dimensional surface, the ``local interface position'', is tested by extensive Monte Carlo simulations of interfaces…

Soft Condensed Matter · Physics 2009-10-31 A. Werner , F. Schmid , M. Mueller , K. Binder

We propose a scalable framework for inference in an inhomogeneous Poisson process modeled by a continuous sigmoidal Cox process that assumes the corresponding intensity function is given by a Gaussian process (GP) prior transformed with a…

Machine Learning · Statistics 2019-06-10 Virginia Aglietti , Edwin V. Bonilla , Theodoros Damoulas , Sally Cripps

Recent advances in local models for point processes have highlighted the need for flexible methodologies to account for the spatial heterogeneity of external covariates influencing process intensity. In this work, we introduce tessellated…

Methodology · Statistics 2025-04-11 Nicoletta D'Angelo

Spatial interference alignment among a finite number of users is proposed as a technique to increase the probability of successful transmission in an interference limited clustered wireless ad hoc network. Using techniques from stochastic…

Information Theory · Computer Science 2010-01-14 R. Tresch , M. Guillaud

In the absence of Gaussianity assumptions without disturbing spatial continuity interpolating along the whole spatial surface for different time lags is challenging. The past researchers pay enough attention to Spatio-temporal interpolation…

Applications · Statistics 2022-11-28 Debjoy Thakur , Ishapathik Das

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