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We derive a single-letter upper bound to the mismatched-decoding capacity for discrete memoryless channels. The bound is expressed as the mutual information of a transformation of the channel, such that a maximum-likelihood decoding error…

信息论 · 计算机科学 2021-02-16 Ehsan Asadi Kangarshahi , Albert Guillén i Fàbregas

We study finite alphabet channels with Unit Memory on the previous Channel Outputs called UMCO channels. We identify necessary and sufficient conditions, to test whether the capacity achieving channel input distributions with feedback are…

信息论 · 计算机科学 2017-01-05 Christos K. Kourtellaris , Charalambos D. Charalambous , Ioannis Tzortzis

The fundamental limits of channels with mismatched decoding are addressed. A general formula is established for the mismatch capacity of a general channel, defined as a sequence of conditional distributions with a general decoding metrics…

信息论 · 计算机科学 2013-10-01 Anelia Somekh-Baruch

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

The identification capacity region of the compound broadcast channel is determined under an average error criterion, where the sender has no channel state information. We give single-letter identification capacity formulas for discrete…

信息论 · 计算机科学 2021-12-03 Johannes Rosenberger , Uzi Pereg , Christian Deppe

We introduce a new analysis technique to derive a single-letter upper bound on the mismatch capacity of a stationary, single-user, memoryless channel with a decoding metric $q$. Our bound is obtained by considering a multicast transmission…

信息论 · 计算机科学 2021-03-29 Anelia Somekh-Baruch

This paper investigates the first- and second-order maximum achievable rates of codes with/without cost constraints for mixed {channels} whose channel law is characterized by a general mixture of (at most) uncountably many stationary and…

信息论 · 计算机科学 2016-05-09 Hideki Yagi , Te Sun Han , Ryo Nomura

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…

信息论 · 计算机科学 2015-04-06 Tobias Sutter , David Sutter , Peyman Mohajerin Esfahani , John Lygeros

A two-user discrete memoryless compound multiple access channel with a common message and conferencing decoders is considered. The capacity region is characterized in the special cases of physically degraded channels and unidirectional…

信息论 · 计算机科学 2016-11-18 O. Simeone , D. Gunduz , H. V. Poor , A. Goldsmith , S. Shamai

We consider the compound capacity of polar codes under successive cancellation decoding for a collection of binary-input memoryless output-symmetric channels. By deriving a sequence of upper and lower bounds, we show that in general the…

信息论 · 计算机科学 2009-07-21 S. Hamed Hassani , Satish Babu Korada , Ruediger Urbanke

Shannon's analysis of the fundamental capacity limits for memoryless communication channels has been refined over time. In this paper, the maximum volume $M_\avg^*(n,\epsilon)$ of length-$n$ codes subject to an average decoding error…

信息论 · 计算机科学 2016-12-28 Pierre Moulin

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

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

A coding theorem and converse are proved for a large class of abstract stationary channels with time structure including the result by Kadota and Wyner (1972) on continuous-time real-valued channels as special cases. As main contribution…

信息论 · 计算机科学 2018-04-18 Martin Mittelbach , Eduard A. Jorswieck

It is shown that polar codes achieve the symmetric capacity of discrete memoryless channels with arbitrary input alphabet sizes. It is shown that in general, channel polarization happens in several, rather than only two levels so that the…

信息论 · 计算机科学 2015-03-19 Aria G. Sahebi , S. Sandeep Pradhan

We establish the capacity of a class of communication channels introduced in [1]. The $n$-letter input from a finite alphabet is passed through a discrete memoryless channel $P_{Z|X}$ and then the output $n$-letter sequence is uniformly…

信息论 · 计算机科学 2023-10-30 Jennifer Tang , Yury Polyanskiy

The single-letter characterisation of the entanglement-assisted capacity of a quantum channel is one of the seminal results of quantum information theory. In this paper, we consider a modified communication scenario in which the receiver is…

量子物理 · 物理学 2024-09-16 Kaiyuan Ji , Bartosz Regula , Mark M. Wilde

We prove that, for all binary-input symmetric memoryless channels, polar codes enable reliable communication at rates within $\epsilon > 0$ of the Shannon capacity with a block length, construction complexity, and decoding complexity all…

信息论 · 计算机科学 2013-11-19 Venkatesan Guruswami , Patrick Xia

This paper shows that the logarithm of the epsilon-error capacity (average error probability) for n uses of a discrete memoryless channel is upper bounded by the normal approximation plus a third-order term that does not exceed 1/2 log n +…

信息论 · 计算机科学 2013-10-25 Marco Tomamichel , Vincent Y. F. Tan

We consider classical message transmission under entanglement assistance for compound memoryless and arbitrarily varying quantum channels. In both cases, we prove general coding theorems together with corresponding weak converse bounds. In…

量子物理 · 物理学 2017-01-27 Holger Boche , Gisbert Janßen , Stephan Kaltenstadler
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