Abstract

Heterogeneous network (HetNet) is a promising solution to meeting the unprecedented demand for higher data rate in the next generation mobile networks. Compared with the traditional single-layer cellular networks, the resource management (e.g., user association and power control problems) is more challenging in the multi-tier HetNets. In addition, due to the new application scenarios and battery-limited nature of the user equipment (UE), improving energy efficiency (EE) of individual while ensuring EE fairness among UEs is one of the key design issues in the uplink HetNets. In this paper, by considering the fairness for EE, joint user association and power control problems are studied in the uplink multiple input multiple output (MIMO) enabled HetNets. Under the quality of service (QoS) and transmit power constraints of UE, two kinds of fairness, namely, proportional fairness and max-min fairness, are investigated. The optimization problems of maximizing the EE are formulated by considering the fairness among UEs. Considering the non-convex characteristic of the problem, the formulated problem is divided into two subproblems, i.e., user association and power control subproblems, then an iterative algorithm is proposed to achieve the fair EE resource allocation for each fairness criterion until convergence. For the proportional fairness problem, the dual decomposition and Newton methods are applied. Then, by using successive convex approximation (SCA) and dual decomposition, the problem of max-min fairness is solved. Through both theoretical analysis and simulations, the convergence and the effectiveness of the proposed algorithms are proved and evaluated. Simulation results show that the proposed algorithms can significantly improve the average EE of users.

Highlights

  • To come up with the 1000 times growth of mobile traffic requirements and more diverse quality of service requirements of mobile users, heterogeneous networks (HetNets) have recently attracted intensive attention as one of the key enabling technologies for the fifth generation (5G) of mobile communications

  • In our previous work [24], we proposed a user association scheme and a power control algorithm to improve the average EE of all the users in HetNets

  • In this paper, two kinds of fairness criterion named proportional and max-min fairness have been studied in the uplink multiple input multiple output (MIMO) enabled HetNets

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Summary

INTRODUCTION

To come up with the 1000 times growth of mobile traffic requirements and more diverse quality of service requirements of mobile users, heterogeneous networks (HetNets) have recently attracted intensive attention as one of the key enabling technologies for the fifth generation (5G) of mobile communications. To maximize the weighted sum-rate, the authors in [17] studied the problem of jointly optimizing the transmit power, user scheduling and user association in cellular networks based on a distributed interference penalty algorithm. In order to maximize the total rate of UEs in the cell of different links while reducing interference and guaranteeing the predefined quality of service (QoS) requirements, the author developed a joint user association and power allocation algorithm in HetNets using non-cooperative game theory [22]. We investigate an energy efficient joint user association and power control problem with two different fairness criteria in the uplink MIMO enabled HetNets. In the uplink MIMO enabled HetNets, we studied two kinds of fairness criteria (i.e., proportional fairness and max-min fairness) in EE resource allocation by jointly considering the user association and power control problem. BSs have Nk (k ∈ {1, 2}) antennas and N1 > N2, and all UEs are with single antenna

SIGNAL MODEL
POWER CONSUMPTION MODEL
PROPORTIONAL FAIRNESS PROBLEM FORMULATION
SOLUTION OF RESOURCE ALLOCATION PROBLEMS
15: Power control
THE SOLUTION FOR MAX-MIN FAIRNESS PROBLEM
CONCLUSION
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