TY - JOUR
T1 - Stackelberg Game for User Clustering and Power Allocation in Millimeter Wave-NOMA Systems
AU - Wang, Kaidi
AU - Cui, Jingjing
AU - Ding, Zhiguo
AU - Fan, Pingzhi
N1 - Funding Information:
Manuscript received September 29, 2018; revised January 27, 2019; accepted March 20, 2019. Date of publication April 9, 2019; date of current version May 8, 2019. The work of J. Cui and P. Fan was supported in part by the National Science Foundation of China (NSFC), under Grant 61731017, and in part by the 111 Project under Grant 111-2-14. The work of Z. Ding was supported in part by the Engineering and Physical Sciences Research Council (EPSRC) U.K. under Grant EP/N005597/1, in part by NSFC under Grant 61728101, and in part by H2020-MSCA-RISE-2015 under Grant 690750. This paper was presented at the IEEE Global Communication Conference (GLOBECOM), Abu Dhabi, December, 2018 [1]. The associate editor coordinating the review of this paper and approving it for publication was C.-H. Lee. (Corresponding author: Kaidi Wang.) K. Wang and Z. Ding are with the School of Electrical and Electronic Engineering, The University of Manchester, Manchester M13 9PL, U.K. (e-mail: [email protected]; [email protected]).
Publisher Copyright:
© 2002-2012 IEEE.
PY - 2019/5
Y1 - 2019/5
N2 - In this paper, the joint design of user clustering and power allocation is investigated in a downlink non-orthogonal multiple access-based millimeter wave (mm-wave-NOMA) system. To reduce the system overhead, hybrid precoding techniques are adopted at the base station by using the channel state information of cluster heads (CHs) only. In order to maximize the sum rate of the system, Stackelberg game-based optimization problems are formulated for two cases with different quality of some targets: Case 1 focuses on improving the data rates of CHs; and Case 2 aims to increase the rates of cluster members when the CHs' data rates are caped. With the aid of coalitional game theory, a low complexity algorithm is proposed to dynamically allocate users into different clusters. Then, the optimal power allocation coefficients of the users in each cluster are obtained by the derived closed-form expressions. The properties of the proposed joint algorithms are analyzed in terms of Stackelberg equilibrium, the complexity, the convergence and the stability. The simulation results demonstrate that: 1) the proposed algorithms can significantly improve the sum rate and reduce the outage probability of the mm-wave-NOMA system and 2) the application of NOMA in mm-wave systems is capable of achieving promising gains over conventional orthogonal multiple access-based frameworks in both cases.
AB - In this paper, the joint design of user clustering and power allocation is investigated in a downlink non-orthogonal multiple access-based millimeter wave (mm-wave-NOMA) system. To reduce the system overhead, hybrid precoding techniques are adopted at the base station by using the channel state information of cluster heads (CHs) only. In order to maximize the sum rate of the system, Stackelberg game-based optimization problems are formulated for two cases with different quality of some targets: Case 1 focuses on improving the data rates of CHs; and Case 2 aims to increase the rates of cluster members when the CHs' data rates are caped. With the aid of coalitional game theory, a low complexity algorithm is proposed to dynamically allocate users into different clusters. Then, the optimal power allocation coefficients of the users in each cluster are obtained by the derived closed-form expressions. The properties of the proposed joint algorithms are analyzed in terms of Stackelberg equilibrium, the complexity, the convergence and the stability. The simulation results demonstrate that: 1) the proposed algorithms can significantly improve the sum rate and reduce the outage probability of the mm-wave-NOMA system and 2) the application of NOMA in mm-wave systems is capable of achieving promising gains over conventional orthogonal multiple access-based frameworks in both cases.
KW - Millimeter wave (mm-wave)
KW - non-orthogonal multiple access (NOMA)
KW - power allocation
KW - Stackelberg game
KW - user clustering
UR - http://www.scopus.com/inward/record.url?scp=85065605487&partnerID=8YFLogxK
U2 - 10.1109/TWC.2019.2908642
DO - 10.1109/TWC.2019.2908642
M3 - Article
AN - SCOPUS:85065605487
SN - 1536-1276
VL - 18
SP - 2842
EP - 2857
JO - IEEE Transactions on Wireless Communications
JF - IEEE Transactions on Wireless Communications
IS - 5
M1 - 8684765
ER -