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It has recently been observed that the SIR distributions of a variety of cellular network models and transmission techniques look very similar in shape. As a result, they are well approximated by a simple horizontal shift (or gain) of the…

Information Theory · Computer Science 2015-11-30 Radha K. Ganti , Martin Haenggi

The most studied continuum percolation model in two dimensions is the Boolean model consisting of disks with the same radius whose centers are randomly distributed on the Poisson point process (PPP). We also consider the Boolean percolation…

Statistical Mechanics · Physics 2021-07-07 Machiko Katori , Makoto Katori

This paper presents a tractable model for analyzing non-coherent joint transmission base station (BS) cooperation, taking into account the irregular BS deployment typically encountered in practice. Besides cellular-network specific aspects…

Information Theory · Computer Science 2014-09-22 Ralph Tanbourgi , Sarabjot Singh , Jeffrey G. Andrews , Friedrich K. Jondral

We propose a model for heterogeneous cellular networks assuming a space-time Poisson process of call arrivals, independently marked by data volumes, and served by different types of base stations (having different transmission powers)…

Networking and Internet Architecture · Computer Science 2015-10-15 Bartlomiej Blaszczyszyn , Miodrag Jovanovic , Mohamed Kadhem Karray

In this paper we present a tractable approach for regularizing randomly placed points, by splitting them into two subsets: the first is generated by means of the Mat\'ern hard-core point process, while the remaining points constitute the…

Statistics Theory · Mathematics 2016-05-27 Akram Al-Hourani , Bill Moran , Sithamparanathan Kandeepan

Geographic locations of cellular base stations sometimes can be well fitted with spatial homogeneous Poisson point processes. In this paper we make a complementary observation: In the presence of the log-normal shadowing of sufficiently…

Networking and Internet Architecture · Computer Science 2015-02-11 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray , Holger Paul Keeler

Keeler, Ross and Xia (2016) recently derived approximation and convergence results, which imply that the point process formed from the signal strengths received by an observer in a wireless network under a general statistical propagation…

Networking and Internet Architecture · Computer Science 2016-11-09 Paul Keeler , Nathan Ross , Aihua Xia , Bartlomiej Blaszczyszyn

We study linear statistics of a class of determinantal processes which interpolate between Poisson and GUE/Ginibre statistics in dimension 1 or 2. These processes are obtained by performing an independent Bernoulli percolation on the…

Probability · Mathematics 2019-07-23 Gaultier Lambert

We prove a Poisson process approximation result for stabilizing functionals of a determinantal point process. Our results use concrete couplings of determinantal processes with different Palm measures and exploit their association…

Probability · Mathematics 2024-02-14 Moritz Otto

The performance of cellular system significantly depends on its network topology, where the spatial deployment of base stations (BSs) plays a key role in the downlink scenario. Moreover, cellular networks are undergoing a heterogeneous…

Networking and Internet Architecture · Computer Science 2014-11-11 Yifan Zhou , Zhifeng Zhao , Qianlan Ying , Rongpeng Li , Xuan Zhou , Xianfu Chen , Honggang Zhang

An almost ubiquitous assumption made in the stochastic-analytic study of the quality of service in cellular networks is Poisson distribution of base stations. It is usually justified by various irregularities in the real placement of base…

Probability · Mathematics 2013-01-21 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray , Holger Paul Keeler

We propose a flexible change-point model for inhomogeneous Poisson Processes, which arise naturally from next-generation DNA sequencing, and derive score and generalized likelihood statistics for shifts in intensity functions. We construct…

Applications · Statistics 2012-06-29 Jeremy J. Shen , Nancy R. Zhang

Compared to the standard success (coverage) probability, the meta distribution of the signal-to-interference ratio (SIR) provides much more fine-grained information about the network performance. We consider general heterogeneous cellular…

Information Theory · Computer Science 2019-02-19 Sanket S. Kalamkar , Martin Haenggi

In cellular network models, the base stations are usually assumed to form a lattice or a Poisson point process (PPP). In reality, however, they are deployed neither fully regularly nor completely randomly. Accordingly, in this paper, we…

Information Theory · Computer Science 2014-04-29 Anjin Guo , Martin Haenggi

We develop nonparametric Bayesian modelling approaches for Poisson processes, using weighted combinations of structured beta densities to represent the point process intensity function. For a regular spatial domain, such as the unit square,…

Methodology · Statistics 2021-06-10 Chunyi Zhao , Athanasios Kottas

Base station cooperation is a promising scheme to improve network performance for next generation cellular networks. Up to this point research has focused on station grouping criteria based solely on geographic proximity. However, for the…

Networking and Internet Architecture · Computer Science 2017-07-11 Luis David Alvarez Corrales , Anastasios Giovanidis , Philippe Martins , Laurent Decreusefond

We are interested in estimating the location of what we call "smooth change-point" from $n$ independent observations of an inhomogeneous Poisson process. The smooth change-point is a transition of the intensity function of the process from…

Statistics Theory · Mathematics 2021-02-17 A. Amiri , S Dachian

The calculation of the SIR distribution at the typical receiver (or, equivalently, the success probability of transmissions over the typical link) in Poisson bipolar and cellular networks with Rayleigh fading is relatively straightforward,…

Information Theory · Computer Science 2015-06-05 Martin Haenggi

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

We consider a general heterogeneous network in which, besides general propagation effects (shadowing and/or fading), individual base stations can have different emitting powers and be subject to different parameters of Hata-like path-loss…

Networking and Internet Architecture · Computer Science 2014-09-17 Bartlomiej Blaszczyszyn , Holger Paul Keeler