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This paper focuses on the capacity of point-to-point relay communications wherein the transmitter is assisted by an intermediate relay. We detail the mathematical model of cutset and amplify and forward (AF) relaying strategy. We present…

Information Theory · Computer Science 2013-01-15 Farshad Shams , Marco Luise

The problem of simultaneous multicasting of multiple messages with the help of a relay terminal is considered. In particular, a model is studied in which a relay station simultaneously assists two transmitters in multicasting their…

Information Theory · Computer Science 2009-02-19 Deniz Gunduz , Osvaldo Simeone , Andrea J. Goldsmith , H. Vincent Poor , Shlomo Shamai

Lossy transmission over a relay channel in which the relay has access to correlated side information is considered. First, a joint source-channel decode-and-forward scheme is proposed for general discrete memoryless sources and channels.…

Information Theory · Computer Science 2016-11-17 Deniz Gunduz , Elza Erkip , Andrea J. Goldsmith , H. Vincent Poor

Compute-and-forward (CF) harnesses interference in a wireless networkby allowing relays to compute combinations of source messages. The computed message combinations at relays are correlated, and so directly forwarding these combinations to…

Information Theory · Computer Science 2016-01-20 Yihua Tan , Xiaojun Yuan

We establish novel rates for the Gaussian approximation of random deep neural networks with Gaussian parameters (weights and biases) and Lipschitz activation functions, in the wide limit. Our bounds apply for the joint output of a network…

Statistics Theory · Mathematics 2023-12-20 Dario Trevisan

This paper shows that structured transmission schemes are a good choice for secret communication over interference networks with an eavesdropper. Structured transmission is shown to exploit channel asymmetries and thus perform better than…

Information Theory · Computer Science 2009-05-14 Shweta Agrawal , Sriram Vishwanath

We study the transmission of confidential messages across a wireless broadcast channel with K>2 receivers and K helpers. The goal is to transmit all messages reliably to their intended receivers while keeping them confidential from the…

Information Theory · Computer Science 2017-03-06 Parisa Babaheidarian , Somayeh Salimi , Panos Papadimitratos

We consider the basic bidirectional relaying problem, in which two users in a wireless network wish to exchange messages through an intermediate relay node. In the compute-and-forward strategy, the relay computes a function of the two…

Information Theory · Computer Science 2016-11-15 Shashank Vatedka , Navin Kashyap , Andrew Thangaraj

We explain how data-driven quantization of a linear unit in a neural network corresponds to solving the closest vector problem for a certain lattice generated by input data. We prove that the GPTQ algorithm is equivalent to Babai's…

Machine Learning · Computer Science 2026-03-04 Johann Birnick

The capacity of a class of multi-way relay channels, where L users communicate via a relay (at possibly different rates), is derived for the case where the channel outputs are modular sums of the channel inputs and the receiver noise. The…

Information Theory · Computer Science 2011-11-16 Lawrence Ong , Sarah J. Johnson , Christopher M. Kellett

We consider a state-dependent full-duplex relay channel with the state of the channel non-causally available at only the relay. In the framework of cooperative wireless networks, some specific terminals can be equipped with cognition…

Information Theory · Computer Science 2016-11-17 Abdellatif Zaidi , Shivaprasad Kotagiri , J. Nicholas Laneman , Luc Vandendorpe

This paper proposes exploiting the spatial correlation of wireless channel statistics beyond the conventional received signal strength maps by constructing statistical radio maps to predict any relevant channel statistics to assist…

Signal Processing · Electrical Eng. & Systems 2022-08-17 Tobias Kallehauge , Pablo Ramìrez-Espinosa , Anders E. Kalør , Christophe Biscio , Petar Popovski

In a wireless network with a single source and a single destination and an arbitrary number of relay nodes, what is the maximum rate of information flow achievable? We make progress on this long standing problem through a two-step approach.…

Information Theory · Computer Science 2016-11-18 Salman Avestimehr , Suhas Diggavi , David Tse

We obtain a new upper bound on the capacity of a class of discrete memoryless relay channels. For this class of relay channels, the relay observes an i.i.d. sequence $T$, which is independent of the channel input $X$. The channel is…

Information Theory · Computer Science 2008-10-07 Ravi Tandon , Sennur Ulukus

In this paper, we propose a new approach to proving results regarding channel coding schemes based on construction-A lattices for the Additive White Gaussian Noise (AWGN) channel that yields new characterizations of the code construction…

Information Theory · Computer Science 2016-11-18 Wael Alghamdi , Walid Abediseid , Mohamed-Slim Alouini

This paper presents finite-blocklength achievability bounds for the Gaussian multiple access channel (MAC) and random access channel (RAC) under average-error and maximal-power constraints. Using random codewords uniformly distributed on a…

Information Theory · Computer Science 2022-05-05 Recep Can Yavas , Victoria Kostina , Michelle Effros

We consider a system in which two users communicate with a destination with the help of a half-duplex relay. Based on the compute-and-forward scheme, we develop and evaluate the performance of coding strategies that are of network coding…

Information Theory · Computer Science 2013-06-11 Mohieddine El Soussi , Abdellatif Zaidi , Luc Vandendorpe

A belief-propagation decoder for low-density lattice codes is given which represents messages explicitly as a mixture of Gaussians functions. The key component is an algorithm for approximating a mixture of several Gaussians with another…

Information Theory · Computer Science 2009-05-01 Brian M. Kurkoski , Justin Dauwels

We study a new class of matrix models, formulated on a lattice. On each site are $N$ states with random energies governed by a Gaussian random matrix Hamiltonian. The states on different sites are coupled randomly. We calculate the density…

Condensed Matter · Physics 2009-10-22 E. Brézin , A. Zee

We investigate the transmission of a secret message from Alice to Bob in the presence of an eavesdropper (Eve) and many of decode-and-forward relay nodes. Each link comprises a set of parallel channels, modeling for example an orthogonal…

Information Theory · Computer Science 2018-07-18 Linda Senigagliesi , Marco Baldi , Stefano Tomasin
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