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We provide tight upper and lower bounds on the noise resilience of interactive communication over noisy channels with feedback. In this setting, we show that the maximal fraction of noise that any robust protocol can resist is 1/3.…

数据结构与算法 · 计算机科学 2015-01-06 Klim Efremenko , Ran Gelles , Bernhard Haeupler

We review how Shannon's classical notion of capacity is not enough to characterize a noisy communication channel if the channel is intended to be used as part of a feedback loop to stabilize an unstable scalar linear system. While classical…

信息论 · 计算机科学 2007-07-13 Anant Sahai , Sanjoy Mitter

We study the capacity of discrete memoryless many-to-one interference channels, i.e., K user interference channels where only one receiver faces interference. For a class of many-to-one interference channels, we identify a noisy…

信息论 · 计算机科学 2009-12-17 Viveck R. Cadambe , Syed A. Jafar

In this note we study Shannon capacity of channels in the context of classical Ramsey numbers. We overview some of the results on capacity of noisy channels modelled by graphs, and how some constructions may contribute to our knowledge of…

组合数学 · 数学 2014-05-30 Xiaodong Xu , Stanisław Radziszowski

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 consider transmission of packets over queue-length sensitive unreliable links, where packets are randomly corrupted through a noisy channel whose transition probabilities are modulated by the queue-length. The goal is to characterize the…

信息论 · 计算机科学 2020-09-01 Daewon Seo , Avhishek Chatterjee , Lav R. Varshney

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…

信息论 · 计算机科学 2020-05-29 Hengjie Yang , Richard D. Wesel

For the additive Gaussian noise channel with average codeword power constraint, sparse superposition codes and adaptive successive decoding is developed. Codewords are linear combinations of subsets of vectors, with the message indexed by…

信息论 · 计算机科学 2010-06-22 Andrew R Barron , Antony Joseph

Random coding arguments are the backbone of most channel capacity achievability proofs. In this paper, we show that in their standard form, such arguments are insufficient for proving some network capacity theorems: structured coding…

信息论 · 计算机科学 2008-02-05 Bobak Nazer , Michael Gastpar

A unified approach to the derivation of rate regions for single-hop memoryless networks is presented. A general transmission scheme for any memoryless, single-hop, k-user channel with or without common information, is defined through two…

信息论 · 计算机科学 2015-06-16 Stefano Rini , Andrea Goldsmith

Reliable communication imposes an upper limit on the achievable rate, namely the Shannon capacity. Wyner's wiretap coding, which ensures a security constraint also, in addition to reliability, results in decrease of the achievable rate. To…

信息论 · 计算机科学 2017-02-14 Shahid M. Shah , Vinod Sharma

The zero-error capacity of channels with a countably infinite input alphabet formally generalises Shannon's classical problem about the capacity of discrete memoryless channels. We solve the problem for three particular channels. Our…

组合数学 · 数学 2018-07-17 Gerard Cohen , Emanuela Fachini , Janos Korner

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

Shannon's mutual information of a random multiple antenna and multipath channel is studied in the general case where the channel impulse response is an ergodic and stationary process which is assumed to be available at the receiver. From…

信息论 · 计算机科学 2019-05-09 Walid Hachem , Adrien Hardy , Shlomo Shamai

This paper studies low-latency streaming codes for the multi-hop network. The source is transmitting a sequence of messages (streaming messages) to a destination through a chain of relays where each hop is subject to packet erasures. Every…

信息论 · 计算机科学 2020-06-11 Elad Domanovitz , Ashish Khisti , Wai-Tian Tan , Xiaoqing Zhu , John Apostolopoulos

Motivated by the problem of zero-error broadcasting, we introduce a new notion of graph capacity, termed $\rho$-capacity, that generalizes the Shannon capacity of a graph. We derive upper and lower bounds on the $\rho$-capacity of arbitrary…

信息论 · 计算机科学 2017-03-21 Sihuang Hu , Ofer Shayevitz

Various applications of molecular communications (MC) are event-triggered, and, as a consequence, the prevalent Shannon capacity may not be the right measure for performance assessment. Thus, in this paper, we motivate and establish the…

Shannon's Capacity Theorem is the main concept behind the Theory of Communication. It says that if the amount of information contained in a signal is smaller than the channel capacity of a physical media of communication, it can be…

混沌动力学 · 物理学 2009-11-13 M. S. Baptista , J. Kurths

In this two-parts paper we propose a decentralized strategy, based on a game-theoretic formulation, to find out the optimal precoding/multiplexing matrices for a multipoint-to-multipoint communication system composed of a set of wideband…

信息论 · 计算机科学 2009-11-13 Gesualdo Scutari , D. P. Palomar , S. Barbarossa

This paper presents finite-blocklength achievability bounds for the Gaussian multiple access channel (MAC) and random access channel (RAC) under average-error and maximal-power constraints. Using random codewords uniformly distributed on a…

信息论 · 计算机科学 2022-05-05 Recep Can Yavas , Victoria Kostina , Michelle Effros