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基于泊松簇過程的三層異構蜂窩網絡部署模型

Deployment model of three-layer heterogeneous cellular networks based on Poisson clustered process

  • 摘要: 5G標準下的蜂窩網絡正在向異構化、超密集化的方向發展,傳統的基于六邊形網格模型的研究方法較為理想化且并不精確,越來越不適用于如今的異構網絡.針對這個問題,目前常用的方法是使用基于隨機幾何的泊松點過程來研究異構網絡的基站部署,這種方法假設基站的空域分布完全隨機,因此得到了覆蓋概率的理論下界.但是由于宏蜂窩邊緣(盲區)以及熱點地區(忙區)等特殊區域中,站點的分布可能形成簇,此時,基于泊松點過程的空域分布將不再準確.針對這個問題,本文使用泊松簇過程研究三層異構蜂窩網絡的基站部署與規劃.首先,提出基于泊松簇過程的基站部署系統模型,討論了基于簇分布的基站形成過程;其次,在充分分析用戶受到的聚集干擾基礎上,采用基于瞬時信干噪比的小區選擇機制,推導出了中斷概率模型,并討論了三種特殊條件下的中斷概率;最后,通過仿真對比分析了基于泊松簇過程與泊松點過程的中斷概率的差異以及信干噪比閾值變化時的中斷概率的變化曲線,證明了基于簇的空域基站部署具有更低的中斷概率.

     

    Abstract: Cellular networks in 5G are tending to be heterogeneous and ultra-dense. Simulation methods used in a traditional hexagonal grid model are too idealized and inaccurate, and they are no more adaptive to heterogeneous cellular networks today. To settle optimal deployment of base stations, a popular approach for analyzing heterogeneous cellular networks is Poisson point process (PPP) based on stochastic geometry, which assumes that the locations of base stations are completely space random. According to the model of PPP, a lower bound of the probability of coverage is gotten. However, the base stations or users may be clustered at specific areas (e.g. cell edge and hot spot areas) so that the space distribution based on PPP will be inaccurate. In order to settle this problem, Poisson clustered process (PCP) is used to model deployment and planning of the base stations in three-layer heterogeneous cellular networks including macrocells, picocells and femtocells. First of all, a model of the locations of base stations based on PCP was proposed and the formation of clusters of the base stations was discussed. Second, based on the analysis of aggregated interference received by users, the cell-association mechanism of instantaneous signal to interference plus noise ratio (SINR) was adopted, the model of outage probability using SINR was derived and three special cases of the model were given. Finally, according to the model, the difference of outage probability between using PCP and PPP was compared by simulation, and the curve of outage probability is changing as the SINR threshold changes. It shows that using PCP can get a lower outage probability than using PPP.

     

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