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To account for the massive uncoordinated random access scenario, which is relevant for the Internet of Things, Polyanskiy (2017) proposed a novel formulation of the multiple-access problem, commonly referred to as unsourced multiple access,…

Information Theory · Computer Science 2023-02-23 Khac-Hoang Ngo , Alejandro Lancho , Giuseppe Durisi , Alexandre Graell i Amat

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…

Information Theory · Computer Science 2022-02-15 Khac-Hoang Ngo , Alejandro Lancho , Giuseppe Durisi , Alexandre Graell i Amat

This paper investigates the energy efficiency of massive unsourced random access~(URA) in multiple-input multiple-output quasi-static Rayleigh fading channels. Specifically, we derive achievability and converse bounds on the minimum…

Information Theory · Computer Science 2023-02-07 Junyuan Gao , Yongpeng Wu , Tianya Li , Wenjun Zhang

We derive finite-blocklength bounds on the minimum achievable energy per bit over a Gaussian unsourced multiple access (UMA) channel in the presence of heterogeneous path-loss conditions. We consider a setting in which the path loss is…

Information Theory · Computer Science 2026-04-23 Deekshith Pathayappilly Krishnan , Kaan Okumus , Khac-Hoang Ngo , Giuseppe Durisi

We discuss the problem of designing channel access architectures for enabling fast, low-latency, grant-free and uncoordinated uplink for densely packed wireless nodes. Specifically, we study random-access codes, previously introduced for…

Information Theory · Computer Science 2019-07-23 Suhas S Kowshik , Kirill Andreev , Alexey Frolov , Yury Polyanskiy

In 2017, Polyanskiy [1] showed that the trade-off between power and bandwidth efficiency for massive Gaussian random access is governed by two fundamentally different regimes: low power and high power. For both regimes, tight performance…

Information Theory · Computer Science 2021-05-12 Ralf Müller

This paper explores the fundamental limits of unsourced random access (URA) with a random and unknown number ${\rm{K}}_a$ of active users in MIMO quasi-static Rayleigh fading channels. First, we derive an upper bound on the probability of…

Information Theory · Computer Science 2024-04-16 Junyuan Gao , Yongpeng Wu , Giuseppe Caire , Wei Yang , Wenjun Zhang

Motivated by the growing application of wireless multi-access networks with stringent delay constraints, we investigate the Gaussian multiple access channel (MAC) in the finite blocklength regime. Building upon information spectrum…

Information Theory · Computer Science 2013-09-11 Ebrahim MolavianJazi , J. Nicholas Laneman

This paper presents finite-blocklength achievability bounds for the Gaussian multiple access channel (MAC) and random access channel (RAC) under average-error and maximal-power constraints. Using random codewords uniformly distributed on a…

Information Theory · Computer Science 2022-05-05 Recep Can Yavas , Victoria Kostina , Michelle Effros

Binary optimization is a fundamental area in computational science, with wide-ranging applications from logistics to cryptography, where the tasks are often formulated as Quadratic or Polynomial Unconstrained Binary Optimization problems…

Quantum Physics · Physics 2024-12-20 Jean Cazalis , Tirth Shah , Yahui Chai , Karl Jansen , Stefan Kühn

Polyanskiy proposed a framework for the unsourced multiple access channel (MAC) problem where users employ a common codebook in the finite blocklength regime. However, existing approaches handle channel noise before the joint decoder. In…

Information Theory · Computer Science 2026-04-14 Yuming Han , Yuxin Long

We consider multiple access communication on a binary input additive white Gaussian noise channel using randomly spread code division. For a general class of symmetric distributions for spreading coefficients, in the limit of a large number…

Information Theory · Computer Science 2008-03-11 Satish Babu Korada , Nicolas Macris

In this work, we discuss the problem of unsourced random access (URA) over a Gaussian multiple access channel (GMAC). To address the challenges posed by emerging massive machine-type connectivity, URA reframes multiple access as a…

Information Theory · Computer Science 2025-05-06 Zhentian Zhang , Mohammad Javad Ahmadi , Jian Dang , Kai-Kit Wong , Zaichen Zhang , Christos Masouros

Many-user MAC is an important model for understanding energy efficiency of massive random access in 5G and beyond. Introduced in Polyanskiy'2017 for the AWGN channel, subsequent works have provided improved bounds on the asymptotic minimum…

Information Theory · Computer Science 2022-01-05 Suhas S Kowshik

We consider an extension of the massive unsourced random access originally proposed by Polyanskiy to the case where the receiver has a very large number of antennas (a massive MIMO base station) and no channel state information is given to…

Information Theory · Computer Science 2019-01-04 Alexander Fengler , Giuseppe Caire , Peter Jung , Saeid Haghighatshoar

We derive an achievability bound to quantify the performance of a type-based unsourced multiple access system -- an information-theoretic model for grant-free multiple access with correlated messages. The bound extends available…

Information Theory · Computer Science 2025-04-29 Deekshith Pathayappilly Krishnan , Kaan Okumus , Khac-Hoang Ngo , Giuseppe Durisi

We consider channel coding for Gaussian channels with the recently introduced mean and variance cost constraints. Through matching converse and achievability bounds, we characterize the optimal first- and second-order performance. The main…

Information Theory · Computer Science 2025-09-15 Adeel Mahmood , Aaron B. Wagner

We consider a Gaussian multiple-access channel with random user activity where the total number of users $\ell_n$ and the average number of active users $k_n$ may be unbounded. For this channel, we characterize the maximum number of bits…

Information Theory · Computer Science 2020-07-14 Jithin Ravi , Tobias Koch

This paper presents an achievability bound that evaluates the exact probability of error of an ensemble of random codes that are decoded by a minimum distance decoder. Compared to the state-of-the-art which demands exponential computation…

Information Theory · Computer Science 2023-05-17 Ioannis Papoutsidakis , Angela Doufexi , Robert J. Piechocki

An analog source is to be transmitted across a Gaussian channel in more than one channel use per source symbol. This paper derives a lower bound on the asymptotic mean squared error for a strategy that consists of repeatedly quantizing the…

Information Theory · Computer Science 2016-11-17 Marius Kleiner , Bixio Rimoldi
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