University of Oulu

Yanxiang Jiang, Hui Ge, Mehdi Bennis, Fu-Chun Zheng, and Xiaohu You, “Power Control via Stackelberg Game for Small-Cell Networks,” Wireless Communications and Mobile Computing, vol. 2019, Article ID 1401469, 10 pages, 2019.

Power control via Stackelberg game for small-cell networks

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Author: Jiang, Yanxiang1,2,3; Ge, Hui1; Bennis, Mehdi4;
Organizations: 1National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China
2State Key Laboratory of Integrated Services Networks, Xidian University, Xi’an 710071, China
3Key Laboratory of Wireless Sensor Network & Communication, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China
4Centre for Wireless Communications, University of Oulu, Oulu 90014, Finland
5School of Electronic and Information Engineering, Harbin Institute of Technology, Shenzhen 518055, China
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 2 MB)
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Language: English
Published: Hindawi, 2019
Publish Date: 2019-06-06


In this paper, power control in the uplink for two-tier small-cell networks is investigated. We formulate the power control problem as a Stackelberg game, where the macrocell user equipment (MUE) acts as the leader and the small-cell user equipment (SUE) acts as the follower. To reduce the cross-tier and cotier interferences and the power consumption of both the MUE and SUE, we propose optimizing not only the transmit rate but also the transmit power. The corresponding optimization problems are solved through a two-layer iteration. In the inner iteration, the SUE items (SUEs) compete with each other, and their optimal transmit powers are obtained through iterative computations. In the outer iteration, the optimal transmit power of the MUE is obtained in a closed form based on the transmit powers of the SUEs through proper mathematical manipulations. We prove the convergence of the proposed power control scheme, and we also theoretically show the existence and uniqueness of the Stackelberg equilibrium (SE) in the formulated Stackelberg game. The simulation results show that the proposed power control scheme provides considerable improvements, particularly for the MUE.

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Series: Wireless communications and mobile computing
ISSN: 1530-8669
ISSN-E: 1530-8677
ISSN-L: 1530-8669
Volume: 2019
Article number: 1401469
DOI: 10.1155/2019/1401469
Type of Publication: A1 Journal article – refereed
Field of Science: 213 Electronic, automation and communications engineering, electronics
Funding: This work was supported in part by the Natural Science Foundation of China under grant 61521061, the Natural Science Foundation of Jiangsu Province under grant BK20181264, the Research Fund of the State Key Laboratory of Integrated Services Networks (Xidian University) under grant ISN19-10, the Research Fund of the Key Laboratory of Wireless Sensor Network & Communication (Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences) under grant 2017002, the National Basic Research Program of China (973 Program) under grant 2012CB316004, and the UK Engineering and Physical Sciences Research Council under grant EP/K040685/2.
Copyright information: © 2019 Yanxiang Jiang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.