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This letter investigates a new class of index coding problems. One sender broadcasts packets to multiple users, each desiring a subset, by exploiting prior knowledge of linear combinations of packets. We refer to this class of problems as…

Information Theory · Computer Science 2016-11-18 Namyoon Lee , Alexandros G. Dimakis , Robert W. Heath

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 provide a complete characterization of the achievable distortion region for the problem of sending a bivariate Gaussian source over bandwidth-matched Gaussian broadcast channels, where each receiver is interested in only one component of…

Information Theory · Computer Science 2010-06-04 Chao Tian , Suhas Diggavi , Shlomo Shamai

In this paper, we present the concept of non-uniform channel polarization and a scheme for rate-compatible polar code construction for any codeword length using additive white Gaussian noise (AWGN) channels and the successive cancellation…

Information Theory · Computer Science 2019-11-19 Robert M. Oliveira , Rodrigo C. de Lamare

This paper investigates a joint source-channel secrecy problem for the Shannon cipher broadcast system. We suppose list secrecy is applied, i.e., a wiretapper is allowed to produce a list of reconstruction sequences and the secrecy is…

Information Theory · Computer Science 2017-07-25 Lei Yu , Houqiang Li , Weiping Li

Content distribution over networks is often achieved by using mirror sites that hold copies of files or portions thereof to avoid congestion and delay issues arising from excessive demands to a single location. Accordingly, there are…

Information Theory · Computer Science 2016-11-15 Shurui Huang , Aditya Ramamoorthy , Muriel Medard

Scalar quantization and probabilistic shaping are applied to the distributed source coding of Gaussian sources, with mean-square error distortion. A coding scheme with a modulo interval, dithering, and truncated Gaussian shaping is shown to…

Information Theory · Computer Science 2026-04-21 Muhammed Yusuf Sener , Gerhard Kramer , Shlomo Shamai , Ronald Böhnke , Wen Xu

We consider the problem of recovering a signal consisting of a superposition of point sources from low-resolution data with a cut-off frequency f. If the distance between the sources is under 1/f, this problem is not well posed in the sense…

Optimization and Control · Mathematics 2016-09-09 Carlos Fernandez-Granda

The correlation among the content distributed across a cache-aided broadcast network can be exploited to reduce the delivery load on the shared wireless link. This paper considers a two-user three-file network with correlated content, and…

Information Theory · Computer Science 2017-12-06 Parisa Hassanzadeh , Antonia M. Tulino , Jaime Llorca , Elza Erkip

The problem of lossless data compression with side information available to both the encoder and the decoder is considered. The finite-blocklength fundamental limits of the best achievable performance are defined, in two different versions…

Information Theory · Computer Science 2021-02-23 Lampros Gavalakis , Ioannis Kontoyiannis

A transform that is universally polarizing over a set of channels with memory is presented. Memory may be present in both the input to the channel and the channel itself. Both the encoder and the decoder are aware of the input distribution,…

Information Theory · Computer Science 2024-09-13 Boaz Shuval , Ido Tal

We describe a universal information compression scheme that compresses any pure quantum i.i.d. source asymptotically to its von Neumann entropy, with no prior knowledge of the structure of the source. We introduce a diagonalisation…

Quantum Physics · Physics 2007-05-23 Richard Jozsa , Stuart Presnell

With endless amounts of data and very limited bandwidth, fast data compression is one solution for the growing datasharing problem. Compression helps lower transfer times and save memory, but if the compression takes too long, this no…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-21 David Noel , Elizabeth Graham , Liyuan Liu

We consider the task of communicating a generic bivariate function of two classical sources over a Classical-Quantum Multiple Access Channel (CQ-MAC). The two sources are observed at the encoders of the CQ-MAC, and the decoder aims at…

Information Theory · Computer Science 2022-02-24 Mohammad Aamir Sohail , Touheed Anwar Atif , S. Sandeep Pradhan , Arun Padakandla

We study the problem of transmitting a source sample with minimum distortion over an infinite-bandwidth additive white Gaussian noise channel under an energy constraint. To that end, we construct a joint source--channel coding scheme using…

Information Theory · Computer Science 2024-10-28 Omri Lev , Anatoly Khina

A distributed lossy compression network with $L$ encoders and a decoder is considered. Each encoder observes a source and sends a compressed version to the decoder. The decoder produces a joint reconstruction of target signals with the mean…

Information Theory · Computer Science 2022-06-06 Siyao Zhou , Sadaf Salehkalaibar , Jingjing Qian , Jun Chen , Wuxian Shi , Yiqun Ge , Wen Tong

This paper considers the problem of minimum cost communication of correlated sources over a network with multiple sinks, which consists of distributed source coding followed by routing. We introduce a new routing paradigm called dispersive…

Information Theory · Computer Science 2012-09-21 Kumar Viswanatha , Emrah Akyol , Kenneth Rose

We study the problem of constructing a deterministic polynomial time algorithm that achieves omniscience, in a rate-optimal manner, among a set of users that are interested in a common file but each has only partial knowledge about it as…

Information Theory · Computer Science 2011-08-31 Nebojsa Milosavljevic , Sameer Pawar , Salim El Rouayheb , Michael Gastpar , Kannan Ramchandran

A new universal coding/decoding scheme for random access with collision detection is given in the case of two senders. The result is used to give an achievable joint source-channel coding error exponent for multiple access channels in the…

Information Theory · Computer Science 2013-09-19 Lóránt Farkas , Tamás Kói

Zero-error single-channel source coding has been studied extensively over the past decades. Its natural multi-channel generalization is however not well investigated. While the special case with multiple symmetric-alphabet channels was…

Information Theory · Computer Science 2021-05-11 Hoover H. F. Yin , Xishi Wang , Ka Hei Ng , Russell W. F. Lai , Lucien K. L. Ng , Jack P. K. Ma