On The Cellular Network Based On Stochastic Geometry

The modeling and evaluation of cellular network play a key role in wireless communication research. It is usually intractable to model cellular networks by regular grid models for which complicated system level simulations are needed. What’s more, along with the development of the future cellular network captur-ing the characters of randomization and densification, system level simulations will become more complicated. For more than three decades, stochastic geom-etry has been used to model large-scale ad hoc wireless networks, and it has succeeded to develop tractable models to characterize and better understand the performance of these networks. Recently, stochastic geometry models have been shown to provide tractable yet accurate performance bounds for multi-tier cellular wireless networks. It makes up for the defects of the traditional system level simulation. Given the need for interference characterization in multi-tier cellular networks, stochastic geometry models provide high potential to simplify their modeling and provide insights into their design. Hence, a new research area dealing with the modeling and analysis of multi-tier cellular wire-less networks is increasingly attracting the attention of the research community. Under this motivation, we use stochastic geometry tools to model and analyze cellular networks. Our work contributes a lot to fill in the theoretical blank in the related field.The basic idea in this thesis is as follows. We use the theory of stochastic geometry to model cellular network, then analyze the coverage probability, av-erage spectral efficiency, average energy efficiency and transmission capacity of cellular network. Based on this idea, our work starts from the performance of homogeneous celluar networks to the performance of heterogeneous cellular networks, and ends in the performance of heterogeneous dual connectivity cel- lular networks. In paricular, the work in this thesis covers three aspects detailed as below.1. The performance of homogeneous cellular network considering the mix interference of uplink and downlink is investigated. For the first time, the coverage pobability expressions of TDD homogeneous cellular network are obtained, and the average spectral efficiency and average energy ef-ficiency expressions of TDD homogeneous cellular network are derived, then we give out the analysis of effect of the power control factor on the metrics of systems.2. The performance of heterogeneous cellular network considering the cell on-off model and the cell load is investigated. For the first time, the load-based active probability of base stations are obtained, and the closed-form expressions of coverage probability of heterogenous celluar network con-sidering loads and RE are derived, and the average spectral efficiency, the average energy efficiency and the uplink power consumpsion expressions of hetergeneous cellular network are derived, then we give out the analysis of effect of the base station density ratio of different tiers and the offset factor on the metrics of systems.3. The performance of DC heterogeneous cellular network is investigated. The model of DC is founded, and a tractable MeNB selection criterion is proposed. The closed-form expression of the transmission capacity of DC system is derived. The optimal MeNB selection range and DC heteroge-neous network’s transmission power ratio are obtained from the transmis-sion capacity view, under the QoS constraint of original macro system. Then we give out the analysis of effect of the base station densities and the distance between DC users to their serving SeNB on the metrics of DC systems.