Stochastic Geometry Theory And Its Application In Cellular Network

In recent years, the number of mobile phone users has an explosive growth and the demand for wireless communications is growing greatly. In order to adapt to the complex demand of communication service, the deployment of base stations in a cellular network is becoming more and more intensive and complex. In order to improve the quality of wireless communication services, considering add new communication technologies such as D2 D communication technology or multi-cell cooperation technology in traditional cellular network. But add these new communication technologies leads to the increase of complexity of the cellular network. So the usually used Wyner mode has been unable to accurately analyze the cellular network with multiple modes of communication in it. So how to analyze the traditional cellular network and the heterogeneous cellular network with multiple modes of communication in it has become an important research direction.In this thesis, to avoid inaccuracies bring by the traditional Wyner model, using Poisson point process to model the cellular network and analyzing the cellular network through stochastic geometry tools. This thesis focus on analyzing the coverage probability of uplink and downlink in cellular networks. At first, this thesis analyzes the downlink of cellular network. In the downlink, modeling the base stations’ distribution by Poisson point process. Focusing on the analysis of influences in cell coverage ability and the average rate causing by the frequency reuse technology. From the result of analysis, found that the frequency reuse technology will enhance the coverage ability of the cell, but at the same time it will reduce the average rate of the base station. Then, using the Poisson point process to analyze the uplink coverage probability of cellular network with D2 D communication technology in it. Only part of D2 D users can communicate directly by multiplexing cellular resources. It is found that the D2 D communication technology has little effect on the uplink of the original cellular network when the cellular resources are reused by the majority of all D2 D users. Finally, this thesis analyzes the cellular network with multi-cell cooperative technology in it, using Poisson process for modeling and analysis. In the case of different number of cooperative base stations, the gain of the cellular coverage is obtained.