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Recently, the authors showed that Reed-Muller (RM) codes achieve capacity on binary memoryless symmetric (BMS) channels with respect to bit error rate. This paper extends that work by showing that RM codes defined on non-binary fields,…

Information Theory · Computer Science 2023-05-16 Galen Reeves , Henry D. Pfister

In this paper, we consider the discrete memoryless interference channel with common information, in which two senders need deliver not only private messages but also certain common messages to their corresponding receivers. We derive an…

Information Theory · Computer Science 2007-07-13 Jinhua Jiang , Yan Xin , Hari Krishna Garg

A random access scheme for the collision channel without feedback is proposed. The scheme is based on erasure correcting codes for the recovery of packet segments that are lost in collisions, and on successive interference cancellation for…

Information Theory · Computer Science 2016-11-17 Enrico Paolini , Gianluigi Liva , Marco Chiani

In this paper, we show that nested lattice codes achieve the capacity of arbitrary channels with or without non-casual state information at the transmitter. We also show that nested lattice codes are optimal for source coding with or…

Information Theory · Computer Science 2012-03-20 Aria G. Sahebi , S. Sandeep Pradhan

The capacity region of the multiple access channel with arbitrarily correlated sources remains an open problem. Cover, El Gamal and Salehi gave an achievable region in the form of single-letter entropy and mutual information expressions,…

Information Theory · Computer Science 2007-07-16 W. Kang , S. Ulukus

We derive universal codes for transmission of broadcast and confidential messages over classical-quantum-quantum and fully quantum channels. These codes are robust to channel uncertainties considered in the compound model. To construct…

Quantum Physics · Physics 2020-05-20 Holger Boche , Gisbert Janßen , Sajad Saeedinaeeni

We consider distributed Luby transform (DLT) codes for efficient packet transmission in a multi-way relay network, where the links are modeled as erasure channels. Density evolution is applied for asymptotic performance analysis, and…

Information Theory · Computer Science 2014-10-02 Iqbal Hussain , Ming Xiao , Lars K. Rasmussen

The capacity region of the Finite-State Multiple Access Channel (FS-MAC) with feedback that may be an arbitrary time-invariant function of the channel output samples is considered. We provided a sequence of inner and outer bounds for this…

Information Theory · Computer Science 2008-02-12 Haim H. Permuter , Tsachy Weissman , Jun Chen

We present a rate-compatible polar coding scheme that achieves the capacity of any family of channels. Our solution generalizes the previous results [1], [2] that provide capacity-achieving rate-compatible polar codes for a degraded family…

Information Theory · Computer Science 2017-01-24 Marco Mondelli , S. Hamed Hassani , Ivana Marić , Dennis Hui , Song-Nam Hong

The problem of characterising the zero-error capacity region for multiple access channels even in the noiseless case has remained an open problem for over three decades. Motivated by this challenging question, a recently developed theory of…

Information Theory · Computer Science 2019-10-29 Ghassen Zafzouf , Girish N. Nair , Jamie S. Evans

This paper applies Information Theoretic analysis to packet-based random multiple access communication systems. A new channel coding approach is proposed for coding within each data packet with built-in support for bursty traffic…

Information Theory · Computer Science 2016-11-17 Jie Luo , Anthony Ephremides

This work considers relay assisted transmission for multiuser networks when the relay has no access to the codebooks used by the transmitters. The relay is called oblivious for this reason. Of particular interest is the generalized…

Information Theory · Computer Science 2015-03-20 Ye Tian , Aylin Yener

For point to point multiple input multiple output systems, Dayal-Brehler-Varanasi have proved that training codes achieve the same diversity order as that of the underlying coherent space time block code (STBC) if a simple minimum mean…

Information Theory · Computer Science 2008-09-03 G. Susinder Rajan , B. Sundar Rajan

The paper introduces ensembles of accumulate-repeat-accumulate (ARA) codes which asymptotically achieve capacity on the binary erasure channel (BEC) with {\em bounded complexity}, per information bit, of encoding and decoding. It also…

Information Theory · Computer Science 2009-09-29 Henry D. Pfister , Igal Sason

In this paper, a transmission strategy of fountain codes over cooperative relay networks is proposed. When more than one relay nodes are available, we apply network coding to fountain-coded packets. By doing this, partial information is…

Information Theory · Computer Science 2015-03-17 E. Kurniawan , S. Sun , K. Yen , K. F. E. Chong

This paper investigates the capacity of a wireless two way relay channel in which two end nodes exchange information via a relay node. The capacity is defined in the information-theoretic sense as the maximum information exchange rate…

Information Theory · Computer Science 2008-04-22 Zhang Shengli , Soung Chang Liew

The rate of a network code is the ratio of the block size of the network's messages to that of its edge codewords. We compare the linear capacities and achievable rate regions of networks using finite field alphabets to the more general…

Information Theory · Computer Science 2018-01-31 Joseph Connelly , Kenneth Zeger

A half-duplex wireless network with 6 lateral nodes, 3 transmitters and 3 receivers, and a central relay is considered. The transmitters wish to send information to their corresponding receivers via a two phase communication protocol. The…

Information Theory · Computer Science 2010-01-22 Hamidreza Ebrahimzadeh Saffar , Patrick Mitran

We consider the problem of information flow over Gaussian relay networks. Similar to the recent work by Avestimehr \emph{et al.} [1], we propose network codes that achieve up to a constant gap from the capacity of such networks. However,…

Information Theory · Computer Science 2011-02-28 Theodoros K. Dikaliotis , Hongyi Yao , Salman Avestimehr , Sidharth Jaggi , Tracey Ho

In this paper, we propose a new coding scheme for the general relay channel. This coding scheme is in the form of a block Markov code. The transmitter uses a superposition Markov code. The relay compresses the received signal and maps the…

Information Theory · Computer Science 2007-10-05 Wei Kang , Sennur Ulukus