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Massive Uncoordinated Access With Random User Activity

Abstract : We extend the seminal work by Polyanskiy (2017) on massive uncoordinated access to the case where the number of active users is random and unknown a priori. We define a random-access code accounting for both misdetection (MD) and false alarm (FA), and derive a random-coding achievability bound for the Gaussian multiple-access channel. Our bound captures the fundamental trade-off between MD and FA probabilities. The derived bound suggests that, for the scenario considered in Polyanskiy (2017), lack of knowledge of the number of active users entails a small penalty in terms of power efficiency. For example, our bound shows that 0.5-0.7 dB extra power is required to achieve both MD and FA probabilities below 0.1 compared to the case in which the number of active users is known a priori. Taking both MD and FA into account, we show that some of the recently proposed massive random access schemes are highly suboptimal with respect to our bound.
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Preprints, Working Papers, ...
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https://hal-centralesupelec.archives-ouvertes.fr/hal-03420076
Contributor : Khac-Hoang Ngo Connect in order to contact the contributor
Submitted on : Monday, November 8, 2021 - 11:26:22 PM
Last modification on : Sunday, November 28, 2021 - 3:41:36 AM

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  • HAL Id : hal-03420076, version 1
  • ARXIV : 2103.09721

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Khac-Hoang Ngo, Alejandro Lancho, Giuseppe Durisi, Alexandre Graell I Amat. Massive Uncoordinated Access With Random User Activity. 2021. ⟨hal-03420076⟩

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