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The capacity of a relay channel with inter-symbol interference (ISI) and additive colored Gaussian noise is examined under an input power constraint. Prior results are used to show that the capacity of this channel can be computed by…

Information Theory · Computer Science 2011-03-02 Chiranjib Choudhuri , Urbashi Mitra

We prove the strong converse for the $N$-source Gaussian multiple access channel (MAC). In particular, we show that any rate tuple that can be supported by a sequence of codes with asymptotic average error probability less than one must lie…

Information Theory · Computer Science 2016-10-19 Silas L. Fong , Vincent Y. F. Tan

We study the problem of simultaneous search for multiple targets over a multidimensional unit cube and derive fundamental resolution limits of non-adaptive querying procedures using the 20 questions estimation framework. The performance…

Information Theory · Computer Science 2022-04-07 Lin Zhou , Lin Bai , Alfred Hero

This paper presents a new derivation method of converse bounds on the non-asymptotic achievable rate of discrete weakly symmetric memoryless channels. It is based on the finite blocklength statistics of the channel, where with the use of an…

Information Theory · Computer Science 2022-02-08 Ioannis Papoutsidakis , Robert J. Piechocki , Angela Doufexi

Consider a Gaussian relay network where a source node communicates to a destination node with the help of several layers of relays. Recent work has shown that compress-and-forward based strategies can achieve the capacity of this network…

Information Theory · Computer Science 2015-07-16 Ritesh Kolte , Ayfer Özgür , Abbas El Gamal

New achievable rate regions are derived for the two-user additive white Gaussian multiple-access channel with noisy feedback. The regions exhibit the following two properties. Irrespective of the (finite) Gaussian feedback-noise variances,…

Information Theory · Computer Science 2010-04-13 Amos Lapidoth , Michele A. Wigger

This paper analyzes the maximal achievable rate for a given blocklength and error probability over a multiple-antenna ambient backscatter channel with perfect channel state information at the receiver. The result consists of a finite…

Information Theory · Computer Science 2022-03-22 Likun Sui , Zihuai Lin , Pei Xiao , H. Vincent Poor , Branka Vucetic

We study the amplitude-constrained additive white Gaussian noise channel. It is well known that the capacity-achieving input distribution for this channel is discrete and supported on finitely many points. The best known bounds show that…

Information Theory · Computer Science 2026-03-26 Haiyang Wang , Luca Barletta , Alex Dytso

We investigate novel inner and outer bounds on the rate region of a 2-user Gaussian broadcast channel with finite, heterogeneous blocklength constraints (HB-GBC). In particular, we introduce a new, modified Sato-type outer bound that can be…

Information Theory · Computer Science 2022-06-03 Marcel Mross , Pin-Hsun Lin , Eduard A. Jorswieck

A fundamental problem in coding theory is the design of an efficient coding scheme that achieves the capacity of the additive white Gaussian (AWGN) channel. The main objective of this short note is to point out that by concatenating a…

Information Theory · Computer Science 2016-08-24 Shashank Vatedka , Navin Kashyap

This paper applies error-exponent and dispersion-style analyses to derive finite-blocklength achievability bounds for low-density parity-check (LDPC) codes over the point-to-point channel (PPC) and multiple access channel (MAC). The…

Information Theory · Computer Science 2020-05-14 Yuxin Liu , Michelle Effros

New non-asymptotic random coding theorems (with error probability $\epsilon$ and finite block length $n$) based on Gallager parity check ensemble and Shannon random code ensemble with a fixed codeword type are established for discrete input…

Information Theory · Computer Science 2013-03-05 En-hui Yang , Jin Meng

Lattice coding and decoding have been shown to achieve the capacity of the additive white Gaussian noise (AWGN) channel. This was accomplished using a minimum mean-square error scaling and randomization to transform the AWGN channel into a…

Information Theory · Computer Science 2013-08-08 Charles H. Swannack , Uri Erez , Gregory W. Wornell

Machine learning models trained by different optimization algorithms under different data distributions can exhibit distinct generalization behaviors. In this paper, we analyze the generalization of models trained by noisy iterative…

Machine Learning · Statistics 2022-12-29 Hao Wang , Rui Gao , Flavio P. Calmon

The information bottleneck channel (or the oblivious relay channel) concerns a channel coding setting where the decoder does not directly observe the channel output. Rather, the channel output is relayed to the decoder by an oblivious relay…

Information Theory · Computer Science 2026-04-28 Yanxiao Liu , Sepehr Heidari Advary , Cheuk Ting Li

A noisy CDMA downlink channel operating under a strict complexity constraint on the receiver is introduced. According to this constraint, detected bits, obtained by performing hard decisions directly on the channel's matched filter output,…

Information Theory · Computer Science 2007-07-13 Ori Shental , Ido Kanter , Anthony J. Weiss

Tight bounds on the minimum mean square error for the additive Gaussian noise channel are derived, when the input distribution is constrained to be epsilon-close to a Gaussian reference distribution in terms of the Kullback--Leibler…

Statistics Theory · Mathematics 2018-04-27 Michael Fauss , Alex Dytso , Abdelhak M. Zoubir , H. Vincent Poor

Communication is a major factor determining the performance of algorithms on current computing systems; it is therefore valuable to provide tight lower bounds on the communication complexity of computations. This paper presents a lower…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-28 Gianfranco Bilardi , Michele Scquizzato , Francesco Silvestri

This paper investigates the problem of synthesizing joint distributions in the finite-length regime. For a fixed blocklength $n$ and an upper bound on the distribution approximation $\epsilon$, we prove a capacity result for fixed-length…

Information Theory · Computer Science 2021-05-14 Giulia Cervia , Tobias J. Oechtering , Mikael Skoglund

Incremental redundancy with ACK/NACK feedback produces a variable-length stop-feedback (VLSF) code constrained to have $m$ decoding times, with an ACK/NACK feedback to the transmitter at each decoding time. This paper focuses on the…

Information Theory · Computer Science 2023-02-07 Hengjie Yang , Recep Can Yavas , Victoria Kostina , Richard D. Wesel