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Computation over wide-band multi-access channels : achievable rates through sub-function allocation
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Wu, Fangzhou, Chen, Li, Zhao, Nan, Chen, Yunfei, Yu, F. Richard and Wei, Guo (2019) Computation over wide-band multi-access channels : achievable rates through sub-function allocation. IEEE Transactions on Wireless Communications, 18 (7). pp. 3713-3725. doi:10.1109/TWC.2019.2918145 ISSN 1536-1276.
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Official URL: https://doi.org/10.1109/TWC.2019.2918145
Abstract
Future networks are expected to connect an enormous number of nodes wirelessly using wide-band transmission. This brings great challenges. To avoid collecting a large amount of data from the massive number of nodes, computation over multi-access channel (CoMAC) is proposed to compute a desired function over the air utilizing the signal-superposition property of wireless channel. Due to frequency-selective fading, wideband CoMAC is more challenging and has never been studied before. In this work, we propose the use of orthogonal frequency division multiplexing (OFDM) in wide-band CoMAC to transmit functions in a similar way to bit sequences through division, allocation, and reconstruction of functions. An achievable rate without any adaptive resource allocation is derived. To prevent a vanishing computation rate from the increase in the number of nodes, a novel sub-function allocation of sub-carriers is derived. Furthermore, we formulate an optimization problem considering power allocation. A sponge-squeezing algorithm adapted from the classical water-filling algorithm is proposed to solve the optimal power allocation problem. The improved computation rate of the proposed framework and the corresponding allocation has been verified through both theoretical analysis and simulation.
Item Type: | Journal Article | |||||||||
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Subjects: | T Technology > TK Electrical engineering. Electronics Nuclear engineering | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | |||||||||
Library of Congress Subject Headings (LCSH): | Wireless communication systems, Multiple access protocols (Computer network protocols) | |||||||||
Journal or Publication Title: | IEEE Transactions on Wireless Communications | |||||||||
Publisher: | IEEE | |||||||||
ISSN: | 1536-1276 | |||||||||
Official Date: | July 2019 | |||||||||
Dates: |
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Volume: | 18 | |||||||||
Number: | 7 | |||||||||
Page Range: | pp. 3713-3725 | |||||||||
DOI: | 10.1109/TWC.2019.2918145 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Reuse Statement (publisher, data, author rights): | © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Date of first compliant deposit: | 22 May 2019 | |||||||||
Date of first compliant Open Access: | 22 May 2019 | |||||||||
RIOXX Funder/Project Grant: |
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