Performance Analysis Of Location Dependence And Power Control For Unmanned Aerial Vehicles Networks Via Stochastic Geometry

Limited by the space and period of deployment,the terrestrial cellular communication system cannot provide the wireless access service with large-capacity and highly dynamic response in time,and it is difficult to meet the needs of disaster and offloading scenarios where the space-time distribution of services is not uniform.Considering the capabilities of high-altitude deployment,agility and mobility,unmanned aerial vehicles(UAVs)have become an important part of air-ground integrated network for hotspot-offloading,disaster-recovering,video surveillance,and data collection,while becoming an important research issue of 6G.However,the high-probability line-of-sight(LoS)link of UAVs exacerbates the cumulative interference of the network.Via stochastic geometry,this paper firstly proposes a tunable model for dependent deployment of UAVs.With spatial degrees of freedom exploited,the strong mutual interference between UAVs and macro base stations is reduced.And this paper firstly studies on the coexistence of the aerial users and terrestrial users with power control.With the aid of marked point process,this paper expands the traditional framework for solving Laplace transform.And this paper models the user offloading based on biased receiving power,analyzes the effects of system coefficients on the moments of user performance.To instruct the practical deployment,we have derived the semi-closed formula of coverage probability for the three scenarios.The contributions follow:The theoretical analysis of dependent deployment of UAVs is not considered in the literature.Considering UAV’s particular agility and mobility,this paper firstly proposes a tunable model for dependent deployment,and analyzes the performance of the setup via stochastic geometry.Specifically,to avoid the strong mutual interference between UAVs and MBSs,UAVs are only deployed in the macro cell boundaries,of which area fraction can be adjusted.In addition,we obtain a lower bound on the coverage probabilities(CPs)of MBS users and CP expression of UAV users.The results show that the CPs of UAV users in cell boundaries are significantly increased about 51%by the selective addition of UAVs,when signal to interference ratio(SIR)threshold equals OdB,compared with the scenario of a single MBS tier network.Farther,we study on the effect that adopting Nakagami-m small-scale fading for LoS propagation brings,while proofing the validation and rationality of using Rayleigh distribution to model the small-scale fading of LoS link.The theoretical analysis of the coexistence of aerial and terrestrial users is not considered in the literature.In such a context,we study on the uplink of terrestrial and aerial users with fractional power control via stochastic geometry.Specifically,with the aid of marked point process,a analytical framework is developed to derive the Laplace transform of uplink interference with LoS and NLoS propagations.In addition,distinct compensation factor and transmission power are adopted for terrestrial and aerial users to investigate their mutual effect.Interestingly,different from the single-peak results in related works,our results show that there exist two local maximum points of height for the operation of aerial users,while increasing density of networks makes the first point gradually vanish.The theoretical moment analysis of offloading in UAV heterogeneous networks is not considered in the literature.In such a context,we study on the downlink performance of terrestrial and aerial users under biased offloading via stochastic geometry.Specifically,each user is served by the base station that provides the strongest long-term averaged biased-received power,and we derive the distribution of serving base stations.Moreover,based on the conditional probability of random sets,the expressions of high-order moments of user performance are derived,revealing the distinctions in the sets of two-type users.Our results show that the biased offloading can effectively offload users resulting in a load balance,while the increasing UAV height results in a up-down trend for the offloading ability and high-SINR users are more sensitive to the height change.