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We investigate the maximum coding rate for a given average blocklength and error probability over a K-user discrete memoryless broadcast channel for the scenario where a common message is transmitted using variable-length stop-feedback…

Information Theory · Computer Science 2018-09-03 Kasper Fløe Trillingsgaard , Wei Yang , Giuseppe Durisi , Petar Popovski

A rate-dependent upper bound of the best achievable block error probability of polar codes with successive-cancellation decoding is derived.

Information Theory · Computer Science 2010-01-14 Toshiyuki Tanaka , Ryuhei Mori

Polar codes were introduced in 2009 and proven to achieve the symmetric capacity of any binary-input discrete memoryless channel under low-complexity successive cancellation decoding. In this thesis, we construct cyclic polar codes based on…

Information Theory · Computer Science 2020-04-16 Narayanan Rengaswamy

This paper is focused on the performance analysis of binary linear block codes (or ensembles) whose transmission takes place over independent and memoryless parallel channels. New upper bounds on the maximum-likelihood (ML) decoding error…

Information Theory · Computer Science 2007-07-13 I. Sason , I. Goldenberg

We consider codes for channels with extreme noise that emerge in various low-power applications. Simple LDPC-type codes with parity checks of weight 3 are first studied for any dimension $m\rightarrow\infty.$ These codes form modulation…

Information Theory · Computer Science 2021-01-26 Ilya Dumer , Navid Gharavi

We extend a low-rate improvement of the random coding bound on the reliability of a classical discrete memoryless channel to its quantum counterpart. The key observation that we make is that the problem of bounding below the error exponent…

Quantum Physics · Physics 2007-05-23 Alexander Barg

Motivated by the current interest in ultra-reliable, low-latency, machine-type communication systems, we investigate the tradeoff between reliability, throughput, and latency in the transmission of information over multiple-antenna Rayleigh…

Information Theory · Computer Science 2016-11-17 Giuseppe Durisi , Tobias Koch , Johan Östman , Yury Polyanskiy , Wei Yang

While the channel capacity reflects a theoretical upper bound on the achievable information transmission rate in the limit of infinitely many bits, it does not characterise the information transfer of a given encoding routine with finitely…

Neurons and Cognition · Quantitative Biology 2017-04-05 Sebastian Weichwald , Tatiana Fomina , Bernhard Schölkopf , Moritz Grosse-Wentrup

We study the problem of communicating over a discrete memoryless two-way channel using non-adaptive schemes, under a zero probability of error criterion. We derive single-letter inner and outer bounds for the zero-error capacity region,…

Information Theory · Computer Science 2021-09-13 Yujie Gu , Ofer Shayevitz

This paper quantifies the fundamental limits of variable-length transmission of a general (possibly analog) source over a memoryless channel with noiseless feedback, under a distortion constraint. We consider excess distortion, average…

Information Theory · Computer Science 2017-02-28 Victoria Kostina , Yury Polyanskiy , Sergio Verdú

We consider a peak-power-limited single-antenna block-stationary Gaussian fading channel where neither the transmitter nor the receiver knows the channel state information, but both know the channel statistics. This model subsumes most…

Information Theory · Computer Science 2016-11-17 Jun Chen , Venugopal V. Veeravalli

This paper presents a method to calculate the exact average block error probability of some random code ensembles under maximum-likelihood decoding. The proposed method is applicable to various channels and ensembles. The focus is on both…

Information Theory · Computer Science 2022-03-01 Ralf R. Müller

We propose an iterative method for approximately computing the capacity of discrete memoryless channels, possibly under additional constraints on the input distribution. Based on duality of convex programming, we derive explicit upper and…

Information Theory · Computer Science 2015-04-06 Tobias Sutter , David Sutter , Peyman Mohajerin Esfahani , John Lygeros

This paper presents a variable-length decision-feedback scheme that uses tail-biting convolutional codes and the tail-biting Reliability-Output Viterbi Algoritm (ROVA). Comparing with recent results in finite-blocklength information theory,…

Information Theory · Computer Science 2016-11-17 Adam R. Williamson , Tsung-Yi Chen , Richard D. Wesel

As the mobile application landscape expands, wireless networks are tasked with supporting various connection profiles, including real-time communications and delay-sensitive traffic. Among many ensuing engineering challenges is the need to…

Information Theory · Computer Science 2012-02-13 Fatemeh Hamidi-Sepehr , Jean-Francois Chamberland , Henry Pfister

The optimal decoder achieving the outage capacity under imperfect channel estimation is investigated. First, by searching into the family of nearest neighbor decoders, which can be easily implemented on most practical coded modulation…

Information Theory · Computer Science 2016-11-15 Pablo Piantanida , Sajad Sadough , Pierre Duhamel

In this paper, we consider the problem of variable-length coding over the class of memoryless binary asymmetric channels (BACs) with noiseless feedback, including the binary symmetric channel (BSC) as a special case. In 2012, Naghshvar et…

Information Theory · Computer Science 2021-12-01 Hengjie Yang , Minghao Pan , Amaael Antonini , Richard D. Wesel

We examine a new class of channel coding strategies, and hypothesis tests referred to as almost-fixed-length strategies that have little flexibility in the stopping time over fixed-length strategies. The stopping time of these strategies is…

Information Theory · Computer Science 2020-12-02 Anusha Lalitha , Tara Javidi

This paper characterizes the trade-offs between information and energy transmission over an additive white Gaussian noise channel in the finite block-length regime with finite sets of channel input symbols. These trade-offs are…

Information Theory · Computer Science 2023-05-25 Sadaf Ul Zuhra , Samir M. Perlaza , H. Vincent Poor , Mikael Skoglund

In this paper, we consider the problem of sequential transmission over the binary symmetric channel (BSC) with full, noiseless feedback. Naghshvar et al. proposed a one-phase encoding scheme, for which we refer to as the small-enough…

Information Theory · Computer Science 2020-05-29 Hengjie Yang , Richard D. Wesel