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We derive an upper bound on the capacity of non-binary deletion channels. Although binary deletion channels have received significant attention over the years, and many upper and lower bounds on their capacity have been derived, such…

Information Theory · Computer Science 2013-10-10 Mojtaba Rahmati , Tolga M. Duman

We study the capacity region of a deterministic 4-node network, where 3 nodes can only communicate via the fourth one. However, the fourth node is not merely a relay since it can exchange private messages with all other nodes. This…

Information Theory · Computer Science 2013-08-09 Ahmed A. Zewail , Y. Mohasseb , M. Nafie , H. EL Gamal

New upper and lower bounds for the error probability over an erasure channel are provided, making use of Wei's generalized weights, hierarchy and spectra. In many situations the upper and lower bounds coincide and this allows improvement of…

Information Theory · Computer Science 2014-07-18 Leandro Cruvinel Lemes , Marcelo Firer

We define a class of multi--hop erasure networks that approximates a wireless multi--hop network. The network carries unicast flows for multiple users, and each information packet within a flow is required to be decoded at the flow…

Information Theory · Computer Science 2015-03-19 Premkumar Karumbu , Xiaomin Chen , Douglas J. Leith

Quantum network is the key to enable distributed quantum information processing. As the single-link communication rate decays exponentially with the distance, to enable reliable end-to-end quantum communication, the number of nodes needs to…

Quantum Physics · Physics 2021-08-17 Quntao Zhuang , Bingzhi Zhang

The rate optimization for wireless networks with low SNR is investigated. While the capacity in the limit of disappearing SNR is known to be linear for fading and non-fading channels, we study the problem of operating in low SNR wireless…

Information Theory · Computer Science 2010-08-03 Mohit Thakur , Muriel Médard

This paper surveys and unifies a number of recent contributions that have collectively developed a metric for decentralized wireless network analysis known as transmission capacity. Although it is notoriously difficult to derive general…

Information Theory · Computer Science 2016-11-17 Steven Weber , Jeffrey G. Andrews , Nihar Jindal

This work proves new results on the ability of binary Reed-Muller codes to decode from random errors and erasures. We obtain these results by proving improved bounds on the weight distribution of Reed-Muller codes of high degrees.…

Information Theory · Computer Science 2018-12-03 Ori Sberlo , Amir Shpilka

The framework of network equivalence theory developed by Koetter et al. introduces a notion of channel emulation to construct noiseless networks as upper (resp. lower) bounding models, which can be used to calculate the outer (resp. inner)…

Information Theory · Computer Science 2015-10-01 Jinfeng Du , Muriel Medard , Ming Xiao , Mikael Skoglund

Capacity scaling laws are analyzed in an underwater acoustic network with $n$ regularly located nodes on a square, in which both bandwidth and received signal power can be limited significantly. A narrow-band model is assumed where the…

Information Theory · Computer Science 2011-03-29 Won-Yong Shin , Daniel E. Lucani , Muriel Medard , Milica Stojanovic , Vahid Tarokh

The capacity of a complex and discrete-time memoryless additive white Gaussian noise (AWGN) channel under three constraints, namely, input average power, input amplitude and output delivered power is studied. The output delivered power…

Information Theory · Computer Science 2020-04-27 Morteza Varasteh , Borzoo Rassouli , Bruno Clerckx

We consider the problem of broadcast with common messages, and focus on the case that the common message rate $R_{\mathcal{A}}$, i.e., the rate of the message intended for all the receivers in the set $\mathcal{A}$, is the same for all the…

Information Theory · Computer Science 2016-11-17 Chao Tian

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

This paper studies the performance of block coding on an additive white Gaussian noise channel under different power limitations at the transmitter. Lower bounds are presented for the minimum error probability of codes satisfying maximal…

Information Theory · Computer Science 2020-08-19 Gonzalo Vazquez-Vilar

In this work, we examine cognitive radio networks, where secondary users may act as relays for messages sent by the primary user, hence offering performance improvement of primary transmissions, while at the same time obtaining more…

Information Theory · Computer Science 2019-08-29 Athanasios Papadopoulos , Nestor D. Chatzidiamantis , Leonidas Georgiadis

We identify the common underlying form of the capacity expression that is applicable to both cases where causal or non-causal side information is made available to the transmitter. Using this common form we find that for the single user…

Information Theory · Computer Science 2007-07-13 Syed A. Jafar

A network of n communication links, operating over a shared wireless channel, is considered. Fading is assumed to be the dominant factor affecting the strength of the channels between transmitter and receiver terminals. It is assumed that…

Information Theory · Computer Science 2016-11-17 Masoud Ebrahimi , Mohammad A. Maddah-Ali , Amir K. Khandani

In this paper, we present a new technique to obtain upper bounds on undirected unicast network information capacity. Using this technique, we characterize an upper bound, called partition bound, on the symmetric rate of information flow in…

Information Theory · Computer Science 2020-10-27 Satyajit Thakor , Mohammad Ishtiyaq Qureshi

An effective approach for energy conservation in wireless sensor networks is scheduling sleep intervals for extraneous nodes while the remaining nodes stay active to provide continuous service. For the sensor network to operate successfully…

Artificial Intelligence · Computer Science 2010-11-09 Seyed Hossein Khasteh , Saeid Bagheri Shouraki , Ali Akbar Kiaei

In a wired network, a packet can be transmitted to a specified destination only, no broadcasting required. But in ad hoc wireless network a packet transmitted by a node can reach all neighbors due to broadcasting. This broadcasting…

Networking and Internet Architecture · Computer Science 2013-04-09 Md. Nazrul Islam , M. M. A. Hashem , A. M. Moshiur Rahman