User-Number Threshold-Based Base Station On/Off Control for Maximizing Coverage Probability

In this study, we investigate the operation of a user-number threshold-based base station (BS) on/off control, in which the BS turns off when the number of users is less than a specific threshold value. This paper presents a space-based analysis of the BS on/off control system to which a stochastic geometric approach is applied. In particular, we derive the approximated closed-form expression of the coverage probability of a homogeneous network (HomNet) with the user-number threshold-based BS on/off control. Moreover, the optimal user-number threshold for maximizing coverage probability is analytically derived. In addition to HomNet, we also derive the approximated closed-form expression of the coverage probability and the optimal user-number thresholds for a heterogeneous network (HetNet). The results show that HetNet, the analysis of which seems intractable, can be analyzed in the form of a linear combination of HomNets with weighted densities. In addition, the optimal user-number threshold of each tier is obtained independently from other tiers. The modeling and analysis presented in this paper are not only limited to the case of user-number threshold-based on/off control, but also applicable to other novel on/off controls with minor modifications. Finally, by comparing the analytical results with the simulated results, the theoretical contributions of this study are validated.

Automated summary

This study investigates the operation of a user-number threshold-based base station on/off control and presents a space-based analysis of the system using stochastic geometric approach. The study derives closed-form expressions and optimal thresholds for coverage probability in homogeneous and heterogeneous networks. Results show that heterogeneous networks can be analyzed as a combination of weighted densities of homogeneous networks, with independently adjustable thresholds for each tier.