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Motivated by a simple broadcast channel, we generalize the notions of a less noisy receiver and a more capable receiver to an essentially less noisy receiver and an essentially more capable receiver respectively. We establish the capacity…

Information Theory · Computer Science 2009-04-29 Chandra Nair

This paper investigates the capacity regions of two-receiver broadcast channels where each receiver (i) has both common and private-message requests, and (ii) knows part of the private message requested by the other receiver as side…

Information Theory · Computer Science 2016-11-18 Behzad Asadi , Lawrence Ong , Sarah J. Johnson

Inner and outer bounds are established on the capacity region of two-sender, two-receiver interference channels where one transmitter knows both messages. The transmitter with extra knowledge is referred to as being cognitive. The inner…

Information Theory · Computer Science 2007-10-22 I. Maric , A. Goldsmith , G. Kramer , S. Shamai

An outer bound to the capacity region of the two-receiver discrete memoryless broadcast channel is given. The outer bound is tight for all cases where the capacity region is known. When specialized to the case of no common information, this…

Information Theory · Computer Science 2007-07-13 Chandra Nair , Abbas El Gamal

This paper introduces a quantitative generalization of the ``more capable'' comparison of broadcast channels, which is termed ``more capable with advantage''. Some basic properties are demonstrated (including tensorization on product…

Information Theory · Computer Science 2024-01-26 Donald Kougang-Yombi , Jan Hązła

We establish a new outer bound for the capacity region of product broadcast channels. This outer bound matches Marton's inner bound for a variety of classes of product broadcast channels whose capacity regions were previously unknown. These…

Information Theory · Computer Science 2026-04-01 Yanlin Geng , Amin Gohari , Chandra Nair , Yuanming Yu

This paper establishes the capacity region of a class of broadcast channels with random state in which each channel component is selected from two possible functions and each receiver knows its state sequence. This channel model does not…

Information Theory · Computer Science 2014-01-28 Hyeji Kim , Abbas El Gamal

For the class of the memoryless binary-input channels which are not necessarily symmetric, we derive tight bounds on the capacity in terms of the Bhattacharyya parameter. As it turns out, the bounds derived under the symmetric channel…

Information Theory · Computer Science 2017-10-31 Mustafa Kesal

We study the best known general inner bound[MAR '79] and outer bound[N-EG'07] for the capacity region of the two user discrete memory less channel. We prove that a seemingly stronger outer bound is identical to a weaker form of the outer…

Information Theory · Computer Science 2008-04-25 Chandra Nair , Vincent Wang Zizhou

In this work, we study the arbitrarily varying broadcast channel (AVBC), when state information is available at the transmitter in a causal manner. We establish inner and outer bounds on both the random code capacity region and the…

Information Theory · Computer Science 2017-09-19 Uzi Pereg , Yossef Steinberg

In this paper, we derive outer bounds on the capacity region of two classes of the general two-user discrete memoryless broadcast channels with side-information at the transmitter. The first class comprises the classical broadcast channel…

Information Theory · Computer Science 2011-10-11 K. G. Nagananda , Chandra R Murthy , Shalinee Kishore

An inner bound to the capacity region of a class of deterministic interference channels with three user pairs is presented. The key idea is to simultaneously decode the combined interference signal and the intended message at each receiver.…

Information Theory · Computer Science 2015-03-13 Bernd Bandemer , Abbas El Gamal

Outer bounds on the admissible source region for broadcast channels with dependent sources are developed and used to prove capacity results for several classes of sources and channels.

Information Theory · Computer Science 2009-02-16 Gerhard Kramer , Yingbin Liang , Shlomo Shamai

This work considers a binomial noise channel. The paper can be roughly divided into two parts. The first part is concerned with the properties of the capacity-achieving distribution. In particular, for the binomial channel, it is not known…

Information Theory · Computer Science 2024-01-24 Ian Zieder , Antonino Favano , Luca Barletta , Alex Dytso

The cognitive interference channel is an interference channel in which one transmitter is non-causally provided with the message of the other transmitter. This channel model has been extensively studied in the past years and capacity…

Information Theory · Computer Science 2010-03-24 Stefano Rini , Daniela Tuninetti , Natasha Devroye

Consider the broadcast relay channel (BRC) which consists of a source sending information over a two user broadcast channel in presence of two relay nodes that help the transmission to the destinations. Clearly, this network with five nodes…

Information Theory · Computer Science 2010-05-05 Arash Behboodi , Pablo Piantanida

We establish an information theoretic inequality concerning the binary skew-symmetric broadcast channel that was conjectured by one of the authors. This inequality helps to quantify the gap between the sum rate obtained by the inner bound…

Information Theory · Computer Science 2009-12-11 Varun Jog , Chandra Nair

We establish the capacity region of several classes of broadcast channels with random state in which the channel to each user is selected from two possible channel state components and the state is known only at the receivers. When the…

Information Theory · Computer Science 2015-09-16 Hyeji Kim , Abbas El Gamal

This paper considers the problem of cognitive radios with partial-message information. Here, an interference channel setting is considered where one transmitter (the "cognitive" one) knows the message of the other ("legitimate" user)…

Information Theory · Computer Science 2008-12-31 G. Chung , S. Sridharan , S. Vishwanath , C. S. Hwang

We derive inner and outer bounds on the capacity region for a class of three-user partially connected interference channels. We focus on the impact of topology, interference alignment, and interplay between interference and noise. The…

Information Theory · Computer Science 2017-02-14 Muryong Kim , Yitao Chen , Sriram Vishwanath
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