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Analytical Performance Model for Poisson Wireless Networks with Pathloss\n and Shadowing Propagation

2014/11/19 by Jean-Marc Kélif, Stéphane Sénécal, Kelif, Jean-Marc +5
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Advanced Wireless Communication Techniques #FOS: Computer and information sciences #Millimeter-Wave Propagation and Modeling #Networking and Internet Architecture (cs.NI) #Wireless Communication Networks Research

paper · pdf · doi:10.48550/arxiv.1411.5173

openalex publication_date 2014/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The SINR (signal to interference plus noise ratio) is a key factor for\nwireless networks analysis. Indeed, the SINR distribution allows the derivation\nof performance and quality of service (QoS) evaluation. Moreover, it also\nenables the analysis of radio resources allocation and scheduling policies,\nsince they depend on the SINR reached by a UE (User Equipment). Therefore, it\nis particularly interesting to develop an analytical method which allows to\nevaluate the SINR, in a simple and quick way, for a realistic environment.\nConsidering a stochastic Poisson network model, we establish the CDF\n(cumulative distributed function) of the SINR. We show that the shadowing can\nbe neglected, in many cases, as long as mobiles are connected to their best\nserving base station (BS), i.e. the BS which offers them the most powerful\nuseful signal. As a consequence, the analysis of performance and quality of\nservice, directly derived from the CDF of SINR, can be established by using a\npropagation model which takes into account only the pathloss. Moreover, we\nestablish that the Fluid network model we have proposed can be used to analyze\nstochastic Poisson distributed network. Therefore, the analysis of stochastic\nPoisson network can be done in an easy and quick way, by using the analytical\nexpression of the SINR established thanks to the Fluid network model.\n

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