Performance Analysis Of Multi-tier Heterogeneous Cellular Networks Using Stochastic Geometry

Today,FDD LTE is fully commercialized,and the main requirements of users are video and game data,which poses a challenge to the high data rate of wireless networks.Existing macrocells have been more and more difficult to meet users' data requirements.The emergence of technologies such as small cells,relay and distributed antenna system can effectively improve users' QoS.These devices use different communication protocols to form a diversified and flexible heterogeneous cellular network.Meanwhile,the global warming effect has attracted the attention of more and more scholars,and the communication industry has been included in the list of energy conservation and emission reduction.Therefore,the entire energy consumption of the wireless communication should be considered when densely deploying small base stations,to design a green wireless network.For heterogeneous cellular network(HCN),the specific work of this paper is as follows:Firstly,using tools from stochastic geometry theory,based on different connection strategies,this paper analyzes the coverage performance of single-base-station communication system and multi-base-station communication system respectively,and sorts out the exact expressions and upper bound of coverage probability under different models based on the existing literature,meanwhile,they are verified by numerical simulation analysis,and various parameters which can make the coverage gain maximum can be obtained;Secondly,aiming at the user-centric multi-antenna base station cooperative communication model,this paper models users and base stations as Poisson point process(PPP),and derives the exact expressions of coverage probability utilizing the characteristic function of the signal.Two approximate methods are used to simplify the complex expressions of coverage probability.The simulation results prove that they are highly accurate;Finally,this paper models the users as Poisson cluster process(PCP)for the energy consumption problem in hotspots.The parent nodes base stations are modeled as PPP.Adopting the bias correlation strategy,the energy efficiency expression of the network is given.The correction of the derived formula is verified by the final simulation results.It is proved that the appropriate bias factor can greatly improve the network's energy efficiency.In this paper,a series of universal theoretical formulas are derived,and the simulation analyses are carried out,and suggestions are made on the deployment of base stations and selection of important parameters.