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Dynamic Spectrum Management: A Complete Complexity Characterization
Liu, Ya-Feng
2017
Source PublicationIEEE TRANSACTIONS ON INFORMATION THEORY
ISSN0018-9448
Volume63Issue:1Pages:392-403
AbstractConsider 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.
KeywordComplexity theory multi-carrier communication system spectrum management strong NP-hardness
DOI10.1109/TIT.2016.2623662
Language英语
Funding ProjectNational 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 Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Information Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000391740000026
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24587
Collection计算数学与科学工程计算研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
Recommended Citation
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.
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