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

TL;DR

This paper analyzes user-number threshold-based base station on/off control using stochastic geometry, deriving coverage probability expressions and optimal thresholds for homogeneous and heterogeneous networks, validated by simulations.

Contribution

It provides the first analytical derivation of coverage probability and optimal thresholds for user-number threshold-based BS on/off control in both homogeneous and heterogeneous networks.

Findings

Derived closed-form coverage probability for HomNet.

Calculated optimal user-number thresholds for maximizing coverage.

Validated theoretical results with simulations.

Abstract

In this study, we investigate the operation of user-number threshold-based base station (BS) on/off control, in which the BS turns off when the number of active 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 on/off control. Moreover, the optimal user-number threshold for maximizing the coverage probability is analytically derived. In addition to HomNet, we also derive the overall 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 of 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 with the simulated results, the theoretical contributions of this study are validated.