Characterizing user to access point (AP) association strategies in
heterogeneous cellular networks (HetNets) is critical for their performance
analysis, as it directly influences the load across the network. In this
letter, we introduce and analyze a class of association strategies, which we
term stationary association, and the resulting association cells. For random
HetNets, where APs are distributed according to a stationary point process, the
area of the resulting association cells are shown to be the marks of the
corresponding point process. Addressing the need of quantifying the load
experienced by a typical user, a "Feller-paradox" like relationship is
established between the area of the association cell containing origin and that
of a typical association cell. For the specific case of Poisson point process
and max power/SINR association, the mean association area of each tier is
derived and shown to increase with channel gain variance and decrease in the
path loss exponents of the corresponding tier.

本文介绍了一种被称为静态关联的关联策略，并分析了其关联单元的结果。针对典型用户的负载问题，建立了一种类似于 Feller 悖论的关系，并针对 Poisson 随机过程和最大功率 / SINR 联接进行了分析。