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A unified framework to obtain all known lower bounds (random coding, typical random coding and expurgated bound) on the reliability function of a point-to-point discrete memoryless channel (DMC) is presented. By using a similar idea for a…

Information Theory · Computer Science 2010-10-08 Ali Nazari , Achilleas Anastasopoulos , S. Sandeep Pradhan

It is proved that for memoryless vector channels, maximizing the mutual information over all source distributions with a certain average power or over the larger set of source distributions with upperbounded average power yields the same…

Information Theory · Computer Science 2015-03-20 Erik Agrell

This paper is a continuation of work started in \cite{njampavcont} on preserving continuity in ideal topological spaces. We will deal with $\theta$-continuity and weak continuity and give their translations in ideal topological spaces. As…

General Topology · Mathematics 2022-12-06 Anika Njamcul , Aleksandar Pavlović

We propose a method to increase the capacity achieved by uniform prior in discrete memoryless channels (DMC) with high input cardinality. It consists in appropriately reducing the input set. Different design criteria of the input subset are…

Information Theory · Computer Science 2010-10-28 Amine Mezghani , Michel T. Ivrlac , Josef A. Nossek

This work identifies the fundamental limits of Multi-Access Coded Caching (MACC) where each user is connected to multiple caches in a manner that follows a generalized combinatorial topology. This topology stands out as it allows for…

Information Theory · Computer Science 2021-10-15 Federico Brunero , Petros Elia

We study the stability of low-density parity-check (LDPC) codes under blockwise or bitwise maximum $\textit{a posteriori}$ (MAP) decoding, where transmission takes place over a binary-input memoryless output-symmetric channel. Our study…

Information Theory · Computer Science 2024-02-05 Wei Liu , Rüdiger Urbanke

This paper investigates the performance of wireless systems that employ finite-blocklength channel codes for transmission and operate under queueing constraints in the form of limitations on buffer overflow probabilities. A block fading…

Information Theory · Computer Science 2010-10-01 Deli Qiao , Mustafa Cenk Gursoy , Senem Velipasalar

Typical performance of low-density parity-check (LDPC) codes over a general binary-input output-symmetric memoryless channel is investigated using methods of statistical mechanics. Theoretical framework for dealing with general symmetric…

Disordered Systems and Neural Networks · Physics 2009-11-07 Toshiyuki Tanaka , David Saad

Credit networks rely on decentralized, pairwise trust relationships (channels) to exchange money or goods. Credit networks arise naturally in many financial systems, including the recent construct of payment channel networks in blockchain…

Social and Information Networks · Computer Science 2021-09-29 Vibhaalakshmi Sivaraman , Weizhao Tang , Shaileshh Bojja Venkatakrishnan , Giulia Fanti , Mohammad Alizadeh

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 Igal Sason , Idan Goldenberg

This manuscript investigates the information-theoretic limits of integrated sensing and communications (ISAC), aiming for simultaneous reliable communication and precise channel state estimation. We model such a system with a…

Information Theory · Computer Science 2024-03-29 Xinyang Li , Vlad C. Andrei , Aladin Djuhera , Ullrich J. Mönich , Holger Boche

Parameterized verification of coverability in broadcast networks with finite state processes has been studied for different types of models and topologies. In this paper, we attempt to develop a theory of broadcast networks in which the…

Logic in Computer Science · Computer Science 2023-04-27 A. R. Balasubramanian

Synchronization channels, such as the well-known deletion channel, are surprisingly harder to analyze than memoryless channels, and they are a source of many fundamental problems in information theory and theoretical computer science. One…

Information Theory · Computer Science 2019-11-11 Mahdi Cheraghchi , João Ribeiro

This paper employs equal-image-size source partitioning techniques to derive the capacities of the general discrete memoryless wiretap channel (DM-WTC) under four different secrecy criteria. These criteria respectively specify requirements…

Information Theory · Computer Science 2018-02-16 Eric Graves , Tan F. Wong

Consider the transmission of a polar code of block length $N$ and rate $R$ over a binary memoryless symmetric channel $W$ and let $P_e$ be the block error probability under successive cancellation decoding. In this paper, we develop new…

Information Theory · Computer Science 2016-08-05 Marco Mondelli , S. Hamed Hassani , Rüdiger Urbanke

In this paper, we investigate dynamic channel and rate selection in cognitive radio systems which exploit a large number of channels free from primary users. In such systems, transmitters may rapidly change the selected (channel, rate) pair…

Information Theory · Computer Science 2014-05-13 Richard Combes , Alexandre Proutiere

Quantum communication channels and quantum memories are the fundamental building blocks of large-scale quantum communication networks. Estimating their capacity to transmit and store quantum information is crucial in order to assess the…

Quantum Physics · Physics 2022-12-01 Ya-Dong Wu , Giulio Chiribella

The topologies permitted in joint ocular dominance (OD), orientation preference (OP), and direction preference (DP) maps in the primary visual cortex (V1) are considered, with the aim of finding a maximally symmetric periodic case that can…

Biological Physics · Physics 2021-12-14 X. Liu , P. A. Robinson

In terabit-density magnetic recording, several bits of data can be replaced by the values of their neighbors in the storage medium. As a result, errors in the medium are dependent on each other and also on the data written. We consider a…

Information Theory · Computer Science 2011-11-23 Arya Mazumdar , Alexander Barg , Navin Kashyap

We establish three variational principles for the upper metric mean dimension with potential of level sets of continuous maps in terms of the entropy of partitions and Katok's entropy of the underlying system. Our results hold for dynamical…

Dynamical Systems · Mathematics 2026-05-08 Lucas Backes , Chunlin Liu , Fagner B. Rodrigues
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