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Uplink-Downlink Duality Between Multiple-Access and Broadcast Channels With Compressing Relays
Liu, Liang1; Liu, Ya-Feng2; Patil, Pratik3,4,5; Yu, Wei3
2021-11-01
Source PublicationIEEE TRANSACTIONS ON INFORMATION THEORY
ISSN0018-9448
Volume67Issue:11Pages:7304-7337
AbstractUplink-downlink duality refers to the fact that under a sum-power constraint, the capacity regions of a Gaussian multiple-access channel and a Gaussian broadcast channel with Hermitian transposed channel matrices are identical. This paper generalizes this result to a cooperative cellular network, in which remote access-points are deployed as relays in serving the users under the coordination of a central processor (CP). In this model, the users and the relays are connected over noisy wireless links, while the relays and the CP are connected over noiseless but rate-limited fronthaul links. Based on a Lagrangian technique, this paper establishes a duality relationship between such a multiple-access relay channel and broadcast relay channel, under the assumption that the relays use compression-based strategies. Specifically, we show that under the same total transmit power constraint and individual fronthaul rate constraints, the achievable rate regions of the Gaussian multiple-access and broadcast relay channels are identical, when either independent compression or Wyner-Ziv and multivariate compression strategies are used. The key observations are that if the beamforming vectors at the relays are fixed, the sum-power minimization problems under the achievable rate and fronthaul constraints in both the uplink and the downlink can be transformed into either a linear programming or a semidefinite programming problem depending on the compression technique, and that the uplink and downlink problems are Lagrangian duals of each other. Moreover, the dual variables corresponding to the downlink rate constraints become the uplink powers; the dual variables corresponding to the downlink fronthaul constraints become the uplink quantization noises. This duality relationship enables an efficient algorithm for optimizing the downlink transmission and relaying strategies based on the uplink.
KeywordRelays Uplink Downlink Interference Signal to noise ratio Array signal processing Encoding Uplink-downlink duality multiple-access channel broadcast channel relay channel Wyner-Ziv compression multivariate compression cloud radio access network cell-free massive multiple-input multiple-output (MIMO)
DOI10.1109/TIT.2021.3104847
Indexed BySCI
Language英语
Funding ProjectNatural Sciences and Engineering Research Council (NSERC) of Canada via the Canada Research Chairs Program ; Hong Kong Polytechnic University[P0030001] ; National Natural Science Foundation of China (NSFC)[12022116] ; National Natural Science Foundation of China (NSFC)[11688101] ; National Natural Science Foundation of China (NSFC)[12021001] ; National Natural Science Foundation of China (NSFC)[11991020] ; National Natural Science Foundation of China (NSFC)[11991021]
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Information Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000709078200025
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/59438
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLiu, Ya-Feng
Affiliation1.Hong Kong Polytech Univ, Dept Elect & Informat Engn, Hong Kong, Hong Kong, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
3.Univ Toronto, Edward S Rogers Sr Dept Elect & Comp Engn, Toronto, ON M5S 3G4, Canada
4.Carnegie Mellon Univ, Dept Stat & Data Sci, Pittsburgh, PA 15213 USA
5.Carnegie Mellon Univ, Machine Learning Dept, Pittsburgh, PA 15213 USA
Recommended Citation
GB/T 7714
Liu, Liang,Liu, Ya-Feng,Patil, Pratik,et al. Uplink-Downlink Duality Between Multiple-Access and Broadcast Channels With Compressing Relays[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2021,67(11):7304-7337.
APA Liu, Liang,Liu, Ya-Feng,Patil, Pratik,&Yu, Wei.(2021).Uplink-Downlink Duality Between Multiple-Access and Broadcast Channels With Compressing Relays.IEEE TRANSACTIONS ON INFORMATION THEORY,67(11),7304-7337.
MLA Liu, Liang,et al."Uplink-Downlink Duality Between Multiple-Access and Broadcast Channels With Compressing Relays".IEEE TRANSACTIONS ON INFORMATION THEORY 67.11(2021):7304-7337.
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