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Open AccessArticle

Fundamental Limits of Non-Orthogonal Multiple Access (NOMA) for the Massive Gaussian Broadcast Channel in Finite Block-Length

1
Laboratoire CITI, Joint Laboratory between INRIA, The Université de Lyon and the Institut National de Sciences Appliquées (INSA) de Lyon, 6 Av. des Arts, 69621 Villeurbanne, France
2
Institut d’Electronique et des Technologies du Numérique (IETR) and Institut National des Sciences Appliquées (INSA) de Rennes, 20 Avenue des Buttes de Coësmes, CS 70839, 35708 Rennes, France
3
Orange Labs, 44 Avenue de la République, 92320 Châtillon, France
*
Author to whom correspondence should be addressed.
Academic Editor: Rongxing Lu
Sensors 2021, 21(3), 715; https://doi.org/10.3390/s21030715
Received: 6 November 2020 / Revised: 16 December 2020 / Accepted: 7 January 2021 / Published: 21 January 2021
(This article belongs to the Special Issue Massive and Reliable Sensor Communications with LPWANs Technologies)
Superposition coding (SC) has been known to be capacity-achieving for the Gaussian memoryless broadcast channel for more than 30 years. However, SC regained interest in the context of non-orthogonal multiple access (NOMA) in 5G. From an information theory point of view, SC is capacity-achieving in the broadcast Gaussian channel, even when the number of users tends to infinity. However, using SC has two drawbacks: the decoder complexity increases drastically with the number of simultaneous receivers, and the latency is unbounded since SC is optimal only in the asymptotic regime. To evaluate these effects quantitatively in terms of fundamental limits, we introduce a finite time transmission constraint imposed at the base station, and we evaluate fundamental trade-offs between the maximal number of superposed users, the coding block-length and the block error probability. The energy efficiency loss due to these constraints is evaluated analytically and by simulation. Orthogonal sharing appears to outperform SC for hard delay constraints (equivalent to short block-length) and in low spectral efficiency regime (below one bit per channel use). These results are obtained by the association of stochastic geometry and finite block-length information theory. View Full-Text
Keywords: superposition coding; many-user Gaussian broadcast channel; non-orthogonal multiple access; massive access; finite block-length; information theory superposition coding; many-user Gaussian broadcast channel; non-orthogonal multiple access; massive access; finite block-length; information theory
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MDPI and ACS Style

Gorce, J.-M.; Mary, P.; Anade, D.; Kélif, J.-M. Fundamental Limits of Non-Orthogonal Multiple Access (NOMA) for the Massive Gaussian Broadcast Channel in Finite Block-Length. Sensors 2021, 21, 715. https://doi.org/10.3390/s21030715

AMA Style

Gorce J-M, Mary P, Anade D, Kélif J-M. Fundamental Limits of Non-Orthogonal Multiple Access (NOMA) for the Massive Gaussian Broadcast Channel in Finite Block-Length. Sensors. 2021; 21(3):715. https://doi.org/10.3390/s21030715

Chicago/Turabian Style

Gorce, Jean-Marie; Mary, Philippe; Anade, Dadja; Kélif, Jean-Marc. 2021. "Fundamental Limits of Non-Orthogonal Multiple Access (NOMA) for the Massive Gaussian Broadcast Channel in Finite Block-Length" Sensors 21, no. 3: 715. https://doi.org/10.3390/s21030715

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