In this work we consider a dynamical cellular communication network in which mobile BSs are modeled as a homogeneous Poisson point process on $\mathbb R^2$. Each base station moves at a constant speed in a random direction. A typical user connects to the nearest base station and it experiences variable signal and interference powers depending on the distance of all the stations. Along the motion of the stations, the user swaps its serving station, and such an event is called a handover. We are interested in the performance evaluation of the system under some classical and tropical metrics of interest at different time of events, inducing handovers, maximal proximity of serving station, nearest interferer at closest or farthest distance with respect to the user or at any typical time epoch. A comparison study of quality of service and Shannon capacity at these epochs is also provided, among the recurrence of such ``good'' or ``bad'' scenarios. We can make an analogy with seasons based on the fluctuations of signal and interference power. Strong or mild signal or interference power correspond to different seasons of Shannon capacity along the evolution of the system.
翻译:本文研究了一种动态蜂窝通信网络,其中移动基站被建模为 $\mathbb R^2$ 上的齐次泊松点过程。每个基站以恒定速度沿随机方向移动。典型用户连接到最近基站,并因所有基站距离变化而经历可变的信号与干扰功率。在基站运动过程中,用户会切换其服务基站,此类事件称为切换。我们关注系统在若干经典与热带度量指标下的性能评估,这些指标涉及不同事件时刻,包括切换触发时刻、服务基站最大邻近时刻、用户最近或最远干扰源时刻,以及任意典型时间点。本文还比较了这些时刻的服务质量与香农容量,并分析了此类“好”或“坏”场景的重复出现规律。基于信号与干扰功率的波动,我们可将其类比为季节:信号与干扰功率的强或弱分别对应系统演化过程中香农容量的不同季节。