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Related papers: On Marton's inner bound for broadcast channels

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We establish several new results on Marton's coding scheme and its corresponding inner bound on the capacity region of the general broadcast channel. We show that unlike the Gaussian case, Marton's coding scheme without superposition coding…

Information Theory · Computer Science 2016-11-18 Amin Aminzadeh Gohari , Abbas El Gamal , Venkat Anantharam

We establish an information inequality that is intimately connected to the evaluation of the sum rate given by Marton's inner bound for two receiver broadcast channels with a binary input alphabet. This generalizes a recent result where the…

Information Theory · Computer Science 2010-01-12 Chandra Nair , Zizhou Vincent Wang , Yanlin Geng

The best known inner bound on the two-receiver general broadcast channel without a common message is due to Marton [3]. This result was subsequently generalized in [p. 391, Problem 10(c) 2] and [4] to broadcast channels with a common…

Information Theory · Computer Science 2011-05-31 Amin Aminzadeh Gohari , Venkat Anantharam

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

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 presents polar coding schemes for the 2-user discrete memoryless broadcast channel (DM-BC) which achieve Marton's region with both common and private messages. This is the best achievable rate region known to date, and it is…

Information Theory · Computer Science 2016-11-15 Marco Mondelli , S. Hamed Hassani , Igal Sason , Rüdiger Urbanke

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

We develop a new method for showing the optimality of the Gaussian distribution in multiterminal information theory problems. As an application of this method we show that Marton's inner bound achieves the capacity of the vector Gaussian…

Information Theory · Computer Science 2012-02-02 Yanlin Geng , Chandra Nair

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

This paper shows that the capacity region of the continuous-time Poisson broadcast channel is achieved via superposition coding for most channel parameter values. Interestingly, the channel in some subset of these parameter values does not…

Information Theory · Computer Science 2015-08-28 Hyeji Kim , Benjamin Nachman , Abbas El Gamal

We study the capacity regions of broadcast channels with binary inputs and symmetric outputs. We study the partial order induced by the more capable ordering of broadcast channels for channels belonging to this class. This study leads to…

Information Theory · Computer Science 2010-01-14 Yanlin Geng , Chandra Nair , Shlomo Shamai , Zizhou Vincent Wang

By developing one-shot mutual covering lemmas, we derive a one-shot achievability bound for broadcast with a common message which recovers Marton's inner bound (with three auxiliary random variables) in the i.i.d.~case. The encoder employed…

Information Theory · Computer Science 2015-12-01 Jingbo Liu , Paul Cuff , Sergio Verdu

The broadcast channel (BC) with one common and two private messages with leakage constraints is studied, where leakage rate refers to the normalized mutual information between a message and a channel symbol string. Each private message is…

Information Theory · Computer Science 2017-05-30 Ziv Goldfeld , Gerhard Kramer , Haim H. Permuter

This paper deals with the problem of computing the boundary of the capacity region for the memoryless two-user binary-input binary-output multiple-access channel ((2,2;2)-MAC), or equivalently, the computation of input probability…

Information Theory · Computer Science 2009-04-30 J. Bühler , G. Wunder

The problem of computing a linear combination of sources over a multiple access channel is studied. Inner and outer bounds on the optimal tradeoff between the communication rates are established when encoding is restricted to random…

Information Theory · Computer Science 2018-10-30 Pinar Sen , Sung Hoon Lim , Young-Han Kim

The quantization of the output of a binary-input discrete memoryless channel to a smaller number of levels is considered. An algorithm which finds an optimal quantizer, in the sense of maximizing mutual information between the channel input…

Information Theory · Computer Science 2014-05-16 Brian M. Kurkoski , Hideki Yagi

We present an achievable rate region for the general three user discrete memoryless broadcast channel, based on nested coset codes. We characterize 3-to-1 discrete broadcast channels, a class of broadcast channels for which the best known…

Information Theory · Computer Science 2022-03-02 Arun Padakandla , S. Sandeep Pradhan

This paper investigates the joint source-channel coding problem of sending a memoryless source over a memoryless broadcast channel. An inner bound and several outer bounds on the admissible distortion region are derived, which respectively…

Information Theory · Computer Science 2018-06-11 Lei Yu , Houqiang Li , Weiping Li

A general inner bound is given for the discrete memoryless broadcast channel with an arbitrary number of users and general message sets, a setting that accounts for the most general form of concurrent groupcasting, with messages intended…

Information Theory · Computer Science 2020-11-11 Henry Romero , Mahesh K. Varanasi

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
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