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Explicit constructions of polar codes and polar lattices for both lossless and lossy Gray-Wyner problems are studied. Polar codes are employed to extract Wyner's common information of doubly symmetric binary source; polar lattices are then…

Information Theory · Computer Science 2016-10-26 Jinwen Shi , Ling Liu , Cong Ling

In this work, a likelihood encoder is studied in the context of lossy source compression. The analysis of the likelihood encoder is based on a soft-covering lemma. It is demonstrated that the use of a likelihood encoder together with the…

Information Theory · Computer Science 2014-04-24 Eva C. Song , Paul Cuff , H. Vincent Poor

Symmetric multilevel diversity coding (SMDC) is a source coding problem where the independent sources are ordered according to their importance. It was shown that separately encoding independent sources (referred to as…

Information Theory · Computer Science 2024-01-29 Tao Guo , Laigang Guo , Yinfei Xu , Congduan Li , Shi Jin , Raymond Yeung

We present a superposition coding scheme for communication over a network, which combines partial decode and forward and noisy network coding. This hybrid scheme is termed as superposition noisy network coding. The scheme is designed and…

Information Theory · Computer Science 2011-02-24 Neevan Ramalingam , Zhengdao Wang

We consider a variation of the Wyner-Ziv problem pertaining to lossy compression of individual sequences using finite-state encoders and decoders. There are two main results in this paper. The first characterizes the relationship between…

Information Theory · Computer Science 2007-07-13 Neri Merhav , Jacob Ziv

Motivated from the fact that universal source coding on countably infinite alphabets is not feasible, this work introduces the notion of almost lossless source coding. Analog to the weak variable-length source coding problem studied by Han…

Information Theory · Computer Science 2021-11-30 Jorge F. Silva , Pablo Piantanida

This paper presents prefix codes which minimize various criteria constructed as a convex combination of maximum codeword length and average codeword length or maximum redundancy and average redundancy, including a convex combination of the…

Information Theory · Computer Science 2011-02-11 Charalambos D. Charalambous , Themistoklis Charalambous , Farzad Rezaei

The two-sender unicast index coding problem consists of finding optimal coded transmissions from the two senders which collectively know the messages demanded by all the receivers. Each receiver demands a unique message. One important class…

Information Theory · Computer Science 2018-08-30 Chinmayananda Arunachala , Vaneet Aggarwal , B. Sundar Rajan

A characterization of systematic network coding over multi-hop wireless networks is key towards understanding the trade-off between complexity and delay performance of networks that preserve the systematic structure. This paper studies the…

Networking and Internet Architecture · Computer Science 2016-11-18 Giuliano Giacaglia , Xiaomeng Shi , MinJi Kim , Daniel E. Lucani , Muriel Medard

When two or more users in a wireless network transmit simultaneously, their electromagnetic signals are linearly superimposed on the channel. As a result, a receiver that is interested in one of these signals sees the others as unwanted…

Information Theory · Computer Science 2011-03-01 Bobak Nazer , Michael Gastpar

Wyner-Ziv coding (WZC) is a compression technique using decoder side information, which is unknown at the encoder, to help the reconstruction. In this paper, we propose and implement a new WZC structure, called residual WZC, for the…

Information Theory · Computer Science 2012-06-01 Yi-Peng Wei , Shih-Chun Lin , Yu-Hsiu Lin , Hsuan-Jung Su

In recent years, network coding has been investigated as a method to obtain improvements in wireless networks. A typical assumption of previous work is that relay nodes performing network coding can decode the messages from sources…

Information Theory · Computer Science 2007-07-13 Sichao Yang , Ralf Koetter

There are two variants of superposition coding schemes. Cover's original superposition coding scheme has code clouds of the identical shape, while Bergmans's superposition coding scheme has code clouds of independently generated shapes.…

Information Theory · Computer Science 2016-11-15 Lele Wang , Eren Sasoglu , Bernd Bandemer , Young-Han Kim

Although user cooperation cannot improve the capacity of Gaussian two-way channels (GTWCs) with independent noises, it can improve communication reliability. In this work, we aim to enhance and balance the communication reliability in GTWCs…

Information Theory · Computer Science 2025-04-24 Junghoon Kim , Taejoon Kim , Anindya Bijoy Das , Seyyedali Hosseinalipour , David J. Love , Christopher G. Brinton

Advancing over up-to-date information theoretic results that assume symmetric correlation models, in this work we consider the problem of lossy binary source coding with side information, where the correlation is expressed by a generic…

Information Theory · Computer Science 2016-11-17 Andrei Sechelea , Samuel Cheng , Adrian Munteanu , Nikos Deligiannis

In this paper, a two-hop network in which information is transmitted from a source via a relay to a destination is considered. It is assumed that the channels are static fading with additive white Gaussian noise. All nodes are equipped with…

Information Theory · Computer Science 2009-05-18 Vahid Pourahmadi , Alireza Bayesteh , Amir K. Khandani

The network communication scenario where one or more receivers request all the information transmitted by different sources is considered. We introduce distributed polynomial-time network codes in the presence of malicious nodes. Our codes…

Networking and Internet Architecture · Computer Science 2010-01-18 Hongyi Yao , Theodoros K. Dikaliotis , Sidharth Jaggi , Tracey Ho

We investigate the maximum coding rate achievable over a two-user broadcast channel for the scenario where a common message is transmitted using variable-length stop-feedback codes. Specifically, upon decoding the common message, each…

Information Theory · Computer Science 2015-04-23 Kasper Fløe Trillingsgaard , Wei Yang , Giuseppe Durisi , Petar Popovski

In this paper, we investigate the joint design of channel and network coding in bi-directional relaying systems and propose a combined low complexity physical network coding and LDPC decoding scheme. For the same LDPC codes employed at both…

Information Theory · Computer Science 2013-02-21 Kui Xu , Zhenxing Lv , Youyun Xu , Dongmei Zhang , Xinyi Zhong , Wenwen Liang

Simultaneous dense coding guarantees that Bob and Charlie simultaneously receive their respective information from Alice in their respective processes of dense coding. The idea is to use the so-called locking operation to "lock" the…

Quantum Physics · Physics 2016-02-24 Haozhen Situ , Daowen Qiu , Paulo Mateus , Nikola Paunković