1. A User Centric Blockage Model for Wireless Networks
- Author
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Francois Baccelli, Bin Liu, Laurent Decreusefond, Rongfang Song, Dynamics of Geometric Networks (DYOGENE), Département d'informatique - ENS Paris (DI-ENS), École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria), Département Informatique et Réseaux (INFRES), Télécom ParisTech, Nanjing University of Posts and Telecommunications [Nanjing] (NJUPT), Institut Polytechnique de Paris (IP Paris), Réseaux, Mobilité et Services (RMS), Laboratoire Traitement et Communication de l'Information (LTCI), Institut Mines-Télécom [Paris] (IMT)-Télécom Paris-Institut Mines-Télécom [Paris] (IMT)-Télécom Paris, and European Project: 788851,ERC,ERC-2017-ADG ,NEMO(2019)
- Subjects
Networking and Internet Architecture (cs.NI) ,FOS: Computer and information sciences ,Computer Science - Information Theory ,Applied Mathematics ,Information Theory (cs.IT) ,Quantitative Biology::Tissues and Organs ,Coverage probability ,Computer Science Applications ,Computer Science - Networking and Internet Architecture ,Best beam selection ,[MATH.MATH-PR]Mathematics [math]/Probability [math.PR] ,C.2.0 ,[INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT] ,Blockage ,Beamforming ,Iterative algorithm ,Stochastic geometry ,Multiplicative cascade ,Electrical and Electronic Engineering - Abstract
International audience; This paper proposes a cascade blockage model for analyzing the vision that a user has of a wireless network. This model, inspired by the classical multiplicative cascade models, has a radial structure meant to analyze blockages seen by the receiver at the origin in different angular sectors. The main novelty is that it is based on the geometry of obstacles and takes the joint blockage phenomenon into account. We show on a couple of simple instances that the Laplace transforms of total interference satisfies a functional equation that can be solved efficiently by an iterative scheme. This is used to analyze the coverage probability of the receiver and the effect of blockage correlation and penetration loss in both dense and sparse blockage environments. Furthermore, this model is used to investigate the effect of blockage correlation on user beamforming techniques. Another functional equation and its associated iterative algorithm are proposed to derive the coverage performance of the best beam selection in this context. In addition, the conditional coverage probability is also derived to evaluate the effect of beam switching. The results not only show that beam selection is quite efficient for multi-beam terminals, but also show how the correlation brought by blockages can be leveraged to accelerate beam sweeping and pairing.
- Published
- 2022