Title
Energy Efficient Beamforming for Multi-User Transmission in Cognitive Radio Networks With Secrecy Constraints.
Abstract
This paper investigates the energy efficiency (EE) maximization problem with secrecy constraints for a multi-user underlay cognitive radio network (CRN), where each single-antenna cognitive user is surrounded by a multi-antenna eavesdropper user. Specifically, we aim to maximize the EE of the cognitive base station (CBS), which is defined as the ratio of the achievable rate to total power consumption, under the quality-of-service requirement of primary user, the secrecy rate (SR) constraint of CRN and the transmit power limitation of CBS. The formulated optimization problem is nonconvex and nontrivial due to the fractional form of EE and the subtractive form of SR. To solve this complex non-convex problem, we first convert the original fractional form of the EE into an equivalent subtractive form, and then adopt the difference of two-convex functions (D.C.) method to approximate the subtractive form of SR into a convex one. Finally, a convergent iterative algorithm is proposed to obtain the optimal solution of the considered EE maximization problem. Numerical results showing the effectiveness of the proposed algorithm are given.
Year
DOI
Venue
2018
10.1109/ACCESS.2018.2882171
IEEE ACCESS
Keywords
Field
DocType
Cognitive radio network,beamforming,energy efficiency,physical-layer security
Beamforming,Mathematical optimization,Transmitter power output,Efficient energy use,Computer science,Iterative method,Optimization problem,Maximization,Multi-user,Cognitive radio,Distributed computing
Journal
Volume
ISSN
Citations 
6
2169-3536
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Pu Chen100.34
Jian Ouyang225024.08
Wei-Ping Zhu311128.94
Min Lin437136.69