Modeling and analysis of cellular networks using stochastic geometry: A tutorial

H ElSawy, A Sultan-Salem, MS Alouini… - … Surveys & Tutorials, 2016 - ieeexplore.ieee.org
This paper presents a tutorial on stochastic geometry (SG)-based analysis for cellular
networks. This tutorial is distinguished by its depth with respect to wireless communication …

New trends in stochastic geometry for wireless networks: A tutorial and survey

Y Hmamouche, M Benjillali, S Saoudi… - Proceedings of the …, 2021 - ieeexplore.ieee.org
Next-generation wireless networks are expected to be highly heterogeneous, multilayered,
with embedded intelligence at both the core and edge of the network. In such a context …

Progress on the study of the Ginibre ensembles I: GinUE

SS Byun, PJ Forrester - arXiv preprint arXiv:2211.16223, 2022 - arxiv.org
The Ginibre unitary ensemble (GinUE) consists of $ N\times N $ random matrices with
independent complex standard Gaussian entries. This was introduced in 1965 by Ginbre …

The Ginibre point process as a model for wireless networks with repulsion

N Deng, W Zhou, M Haenggi - IEEE Transactions on Wireless …, 2014 - ieeexplore.ieee.org
The spatial structure of transmitters in wireless networks plays a key role in evaluating
mutual interference and, hence, performance. Although the Poisson point process (PPP) has …

Average rate of downlink heterogeneous cellular networks over generalized fading channels: A stochastic geometry approach

M Di Renzo, A Guidotti… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
In this paper, we introduce an analytical framework to compute the average rate of downlink
heterogeneous cellular networks. The framework leverages recent application of stochastic …

Determinantal point process models and statistical inference

F Lavancier, J Møller, E Rubak - Journal of the Royal Statistical …, 2015 - academic.oup.com
Statistical models and methods for determinantal point processes (DPPs) seem largely
unexplored. We demonstrate that DPPs provide useful models for the description of spatial …

Stochastic geometry analysis of spatial-temporal performance in wireless networks: A tutorial

X Lu, M Salehi, M Haenggi, E Hossain… - … Surveys & Tutorials, 2021 - ieeexplore.ieee.org
The performance of wireless networks is fundamentally limited by the aggregate
interference, which depends on the spatial distributions of the interferers, channel …

[图书][B] Stochastic geometry analysis of cellular networks

B Błaszczyszyn, M Haenggi, P Keeler, S Mukherjee - 2018 - books.google.com
Achieve faster and more efficient network design and optimization with this comprehensive
guide. Some of the most prominent researchers in the field explain the very latest analytic …

Modeling and analyzing the coexistence of Wi-Fi and LTE in unlicensed spectrum

Y Li, F Baccelli, JG Andrews… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
We leverage stochastic geometry to characterize key performance metrics for neighboring
Wi-Fi and LTE networks in unlicensed spectrum. Our analysis focuses on a single …

Limit theorems for persistence diagrams

Y Hiraoka, T Shirai, KD Trinh - The Annals of Applied Probability, 2018 - JSTOR
The persistent homology of a stationary point process on RN is studied in this paper. As a
generalization of continuum percolation theory, we study higher dimensional topological …