Dynamic Spectrum Management: A Complete Complexity Characterization

doi:10.1109/TIT.2016.2623662

	Dynamic Spectrum Management: A Complete Complexity Characterization
	Liu, Ya-Feng
	2017
发表期刊	IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN	0018-9448
卷号	63 期号:1 页码:392-403
摘要	Consider a multi-user multi-carrier communication system where multiple users share multiple discrete subcarriers. To achieve high spectrum efficiency, the users in the system must choose their transmit power dynamically in response to fast channel fluctuations. Assuming perfect channel state information, two formulations for the spectrum management (power control) problem are considered in this paper: the first is to minimize the total transmission power subject to all users' transmission data rate constraints, and the second is to maximize the min-rate utility subject to individual power constraints at each user. It is known in the literature that both formulations of the problem are polynomial time solvable when the number of subcarriers is one and strongly NP-hard when the number of subcarriers are greater than or equal to three. However, the complexity characterization of the problem when the number of subcarriers is two has been missing for a long time. This paper answers this long-standing open question: both formulations of the problem are strongly NP-hard when the number of subcarriers is two.
关键词	Complexity theory multi-carrier communication system spectrum management strong NP-hardness
DOI	10.1109/TIT.2016.2623662
语种	英语
资助项目	National Natural Science Foundation of China[11671419] ; National Natural Science Foundation of China[11301516] ; National Natural Science Foundation of China[11331012] ; National Natural Science Foundation of China[11631013] ; National Natural Science Foundation of China[11571221]
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Information Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000391740000026
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/24587
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	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Ya-Feng. Dynamic Spectrum Management: A Complete Complexity Characterization[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2017,63(1):392-403.
APA	Liu, Ya-Feng.(2017).Dynamic Spectrum Management: A Complete Complexity Characterization.IEEE TRANSACTIONS ON INFORMATION THEORY,63(1),392-403.
MLA	Liu, Ya-Feng."Dynamic Spectrum Management: A Complete Complexity Characterization".IEEE TRANSACTIONS ON INFORMATION THEORY 63.1(2017):392-403.