An Efficient Global Algorithm for Single-Group Multicast Beamforming

doi:10.1109/TSP.2017.2699640

	An Efficient Global Algorithm for Single-Group Multicast Beamforming
	Lu, Cheng 1; Liu, Ya-Feng2
	2017-07-15
发表期刊	IEEE TRANSACTIONS ON SIGNAL PROCESSING
ISSN	1053-587X
卷号	65 期号:14 页码:3761-3774
摘要	Consider the single-group multicast beamforming problem, where multiple users receive the same data stream simultaneously from a single transmitter. The problem is NP-hard and all existing algorithms for the problem either find suboptimal approximate or local stationary solutions. In this paper, we propose an efficient branch-and-bound algorithm for the problem that is guaranteed to find its global solution. To the best of our knowledge, our proposed algorithm is the first tailored global algorithm for the single-group multicast beamforming problem. Simulation results show that our proposed algorithm is computationally efficient (albeit its theoretical worst-case iteration complexity is exponential with respect to the number of receivers) and it significantly outperforms a state-of-the-art general-purpose global optimization solver called Baron. Our proposed algorithm provides an important benchmark for performance evaluation of existing algorithms for the same problem. By using it as the benchmark, we show that two state-of-the-art algorithms, semidefinite relaxation algorithm and successive linear approximation algorithm, work well when the problem dimension (i.e., the number of antennas at the transmitter and the number of receivers) is small but their performance deteriorates quickly as the problem dimension increases.
关键词	Argument cuts branch-and-bound algorithm convex relaxation multicasting global optimality transmit beamforming
DOI	10.1109/TSP.2017.2699640
语种	英语
资助项目	National Natural Science Foundation of China[11671419] ; National Natural Science Foundation of China[11571221] ; National Natural Science Foundation of China[11331012] ; National Natural Science Foundation of China[11631013]
WOS研究方向	Engineering
WOS类目	Engineering, Electrical & Electronic
WOS记录号	WOS:000402718400013
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25509
专题	计算数学与科学工程计算研究所
通讯作者	Liu, Ya-Feng
作者单位	1.North China Elect Power Univ, Sch Econ & Management, Beijing 102206, Peoples R China 2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lu, Cheng,Liu, Ya-Feng. An Efficient Global Algorithm for Single-Group Multicast Beamforming[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING,2017,65(14):3761-3774.
APA	Lu, Cheng,&Liu, Ya-Feng.(2017).An Efficient Global Algorithm for Single-Group Multicast Beamforming.IEEE TRANSACTIONS ON SIGNAL PROCESSING,65(14),3761-3774.
MLA	Lu, Cheng,et al."An Efficient Global Algorithm for Single-Group Multicast Beamforming".IEEE TRANSACTIONS ON SIGNAL PROCESSING 65.14(2017):3761-3774.