基于Matern簇过程的NOMA-HetNet覆盖概率分析

Analysis of coverage probability in NOMA-HetNet based on Matern cluster process

考虑到用户与基站间的相关性和网络的不规则性,建立了基于Matern簇过程(MCP)的非正交多址接入型异构网(NOMA-HetNet)模型,并结合该模型分析了各类用户的覆盖概率。在分析过程中,首先,从理论上推导出用户的信干噪比(SINR);其次,针对现实中的非完美串行干扰消除(SIC)方案,给出了一种更符合实际情况的SINR上限更新规则;然后,利用空间坐标系、概率论、随机几何理论和顺序统计量等数学工具分析了各类用户关联概率和服务距离;最后,推导了各类用户覆盖概率的理论表达式。利用数值仿真分析了簇半径、基站密度和干扰残余因子对服务距离和覆盖概率的影响,取得了与理论分析相吻合的结果,验证了理论分析的正确性。

Considering the correlation between the users and base stations and the network irregularity,the non-orthogonal multiple access heterogeneous networks(NOMA-HetNet)based on Matern cluster process(MCP)was modeled.The coverage probability of UEs was analyzed.Firstly,the signal-to-interference-plus-noise ratios(SINR)of UEs were theoretically derived.Secondly,an updating law for the upper limit of SINR was presented for the imperfect serial interference elimination(SIC)scheme,which was more consistent with the reality.Then,using the mathematical tools such as spatial coordinate system,probability theory,stochastic geometry theory and order statistics,the correlation probability and service distances of the different types of UEs were analyzed.Finally,the theoretical expression of the coverage probability of UEs was derived.The effects of cluster radius,base station density,interference residual factors on service distances,and coverage probability are verified by numerical simulations.The simulation results are consistent with the theoretical analysis,which testifies the correctness of the theoretical analysis.