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We study the determination problem of the channel capacity for the discrete memoryless channels in the finite blocklength regime. We derive explicit lower and upper bounds of the capacity. We shall demonstrate that the information spectrum…

信息论 · 计算机科学 2019-04-11 Yasutada Oohama

For a singular and symmetric discrete memoryless channel with positive dispersion, the third-order term in the normal approximation is shown to be upper bounded by a constant. This finding completes the characterization of the third-order…

信息论 · 计算机科学 2013-09-23 Yucel Altug , Aaron B. Wagner

This paper presents a method for computing a finite-blocklength converse for the rate of fixed-length codes with feedback used on discrete memoryless channels (DMCs). The new converse is expressed in terms of a stochastic control problem…

信息论 · 计算机科学 2022-02-10 Felipe Areces , Dan Song , Richard Wesel , Aaron B. Wagner

A multiple-access channel is considered in which messages from one encoder are confidential. Confidential messages are to be transmitted with perfect secrecy, as measured by equivocation at the other encoder. The upper bounds and the…

信息论 · 计算机科学 2007-07-13 Ruoheng Liu , Ivana Maric , Roy D. Yates , Predrag Spasojevic

We develop upper bounds on code size for an independent and identically distributed deletion and insertion channels for a given code length and target frame error probability. The bounds are obtained as a variation of a general converse…

信息论 · 计算机科学 2026-04-14 Ruslan Morozov , Tolga Mete Duman

A single-letter characterization is provided for the capacity region of finite-state multiple-access channels, when the channel state process is an independent and identically distributed sequence, the transmitters have access to partial…

信息论 · 计算机科学 2010-12-10 Giacomo Como , Serdar Yüksel

We study the problem of channel resolvability for fixed i.i.d. input distributions and discrete memoryless channels (DMCs), and derive the strong converse theorem for any DMCs that are not necessarily full rank. We also derive the optimal…

信息论 · 计算机科学 2014-04-23 Shun Watanabe , Masahito Hayashi

A minimax converse for the identification via channels is derived. By this converse, a general formula for the identification capacity, which coincides with the transmission capacity, is proved without the assumption of the strong converse…

信息论 · 计算机科学 2021-01-15 Shun Watanabe

This paper studies the mismatched decoding problem for binary-input discrete memoryless channels. An example is provided for which an achievable rate based on superposition coding exceeds the LM rate (Hui, 1983; Csisz\'ar-K\"orner, 1981),…

A general formalization is given for asynchronous multiple access channels which admits different assumptions on delays. This general framework allows the analysis of so far unexplored models leading to new interesting capacity regions. In…

信息论 · 计算机科学 2015-01-06 Lóránt Farkas , Tamás Kói

In distributed communication, each transmitter prepares an ensemble of channel codes. To encode a message, a transmitter chooses a channel code individually without sharing the coding choice with other transmitters or with the receiver.…

信息论 · 计算机科学 2018-05-08 Yanru Tang , Faeze Heydaryan , Jie Luo

Given the single-letter capacity formula and the converse proof of a channel without constraints, we provide a simple approach to extend the results for the same channel but with constraints. The resulting capacity formula is the minimum of…

信息论 · 计算机科学 2008-09-29 Youjian Liu

The asynchronous capacity region of memoryless multiple-access channels is the union of certain polytopes. It is well-known that vertices of such polytopes may be approached via a technique called successive decoding. It is also known that…

信息论 · 计算机科学 2016-11-17 Ninoslav Marina , Bixio Rimoldi

Building upon previous work on the relation between secrecy and channel resolvability, we revisit a secrecy proof for the multiple-access channel from the perspective of resolvability. We then refine the approach in order to obtain some…

信息论 · 计算机科学 2018-01-15 Matthias Frey , Igor Bjelakovic , Slawomir Stanczak

We derive upper bounds on the rate of transmission of classical information over quantum channels by block codes with a given blocklength and error probability, for both entanglement-assisted and unassisted codes, in terms of a unifying…

量子物理 · 物理学 2016-01-01 William Matthews , Stephanie Wehner

Motivated by recent work on entanglement-assisted codes for sending messages over classical channels, the larger, easily characterised class of non-signalling codes is defined. Analysing the optimal performance of these codes yields an…

量子物理 · 物理学 2016-01-01 William Matthews

We study channel simulation under common randomness assistance in the finite-blocklength regime and identify the smooth channel max-information as a linear program one-shot converse on the minimal simulation cost for fixed error tolerance.…

信息论 · 计算机科学 2024-10-10 Michael X. Cao , Navneeth Ramakrishnan , Mario Berta , Marco Tomamichel

In this paper we present a simple proof of the strong converse for identification via discrete memoryless quantum channels, based on a novel covering lemma. The new method is a generalization to quantum communication channels of Ahlswede's…

量子物理 · 物理学 2007-05-23 R. Ahlswede , A. Winter

A new converse bound is presented for the two-user multiple-access channel under the average probability of error constraint. This bound shows that for most channels of interest, the second-order coding rate -- that is, the difference…

信息论 · 计算机科学 2021-10-04 Oliver Kosut

Building upon previous work on the relation between secrecy and channel resolvability, we revisit a secrecy proof for the multiple-access channel (MAC) from the perspective of resolvability. In particular, we refine and extend the proof to…

信息论 · 计算机科学 2018-01-23 Matthias Frey , Igor Bjelakovic , Slawomir Stanczak
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