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In a bi-directional relay channel, a pair of nodes wish to exchange independent messages over a shared wireless half-duplex channel with the help of relays. Recent work has mostly considered information theoretic limits of the…

Information Theory · Computer Science 2010-02-02 Sang Joon Kim , Besma Smida , Natasha Devroye

Decoding via sequentially guessing the error pattern in a received noisy sequence has received attention recently, and ORBGRAND has been proposed as one such decoding algorithm that is capable of utilizing the soft information embedded in…

Information Theory · Computer Science 2022-12-20 Mengxiao Liu , Yuejun Wei , Zhenyuan Chen , Wenyi Zhang

This paper has two messages. First, we demonstrate that neural networks that process noisy data can learn to exploit, when available, access to auxiliary noise that is correlated with the noise on the data. In effect, the network learns to…

Quantum Physics · Physics 2020-09-17 Aida Ahmadzadegan , Petar Simidzija , Ming Li , Achim Kempf

We consider the distributed source coding system for $L$ correlated Gaussian observations $Y_i, i=1,2, ..., L$. Let $X_i,i=1,2, ..., L$ be $L$ correlated Gaussian random variables and $N_i,$ $i=1,2,... L$ be independent additive Gaussian…

Information Theory · Computer Science 2009-08-09 Yasutada Oohama

We consider a single-source, multiple-relay, single-destination lossy network employing Random Linear Network coding at all transmitting nodes. We address the problem of calculating the probability of successful decoding at the destination…

Information Theory · Computer Science 2019-04-12 Evgeny Tsimbalo , Magnus Sandell

It has been recently brought into spotlight that through the exploitation of network coding concepts at physical-layer, the interference property of the wireless media can be proven to be a blessing in disguise. Nonetheless, most of the…

Networking and Internet Architecture · Computer Science 2010-09-21 M. Amin Rahimian , Ali Ayremlou , Farokh Marvasti

Many networks must maintain synchrony despite the fact that they operate in noisy environments. Important examples are stochastic inertial oscillators, which are known to exhibit fluctuations with broad tails in many applications, including…

Adaptation and Self-Organizing Systems · Physics 2019-12-03 Jason Hindes , Philippe Jacquod , Ira B. Schwartz

In this paper, we propose a novel approach for the optimal identification of correlated segments in noisy correlation matrices. The proposed model is known as CoSeNet (Correlation Seg-mentation Network) and is based on a four-layer…

In this paper, we derive the capacity of the deterministic relay networks with relay messages. We consider a network which consists of five nodes, four of which can only communicate via the fifth one. However, the fifth node is not merely a…

Information Theory · Computer Science 2016-11-15 Ahmed A. Zewail , Yahya Mohasseb , Mohammed Nafie , Hesham El Gamal

Non-Gaussian receivers for optical communication with coherent states can achieve measurement sensitivities beyond the limits of conventional detection, given by the quantum-noise limit (QNL). However, the amount of information that can be…

Quantum Physics · Physics 2021-02-16 M. T. DiMario , F. E. Becerra

We consider the full-duplex two-way relay channel with direct link between two users and propose two coding schemes: a partial decode-forward scheme, and a combined decode-forward and compute-forward scheme. Both schemes use rate-splitting…

Information Theory · Computer Science 2011-08-19 Peng Zhong , Mai Vu

We study the transmission of a set of correlated sources $(U_1,\cdots,U_K)$ over a Gaussian multiple access relay channel with time asynchronism between the encoders. We assume that the maximum possible offset ${\mathsf{d_{max}}}(n)$…

Information Theory · Computer Science 2014-08-11 Hamidreza Ebrahimzadeh Saffar , Masoud Badiei Khuzani , Patrick Mitran

Natural and artificial networks, from the cerebral cortex to large-scale power grids, face the challenge of converting noisy inputs into robust signals. The input fluctuations often exhibit complex yet statistically reproducible…

Adaptation and Self-Organizing Systems · Physics 2018-11-19 Henrik Ronellenfitsch , Jörn Dunkel , Michael Wilczek

The throughput benefits of random linear network codes have been studied extensively for wirelined and wireless erasure networks. It is often assumed that all nodes within a network perform coding operations. In energy-constrained systems,…

Networking and Internet Architecture · Computer Science 2012-06-05 Xiaomeng Shi , Muriel Medard , Daniel E. Lucani

A new coding scheme for general N-node relay networks is presented for unicast, multicast, and broadcast. The proposed distributed decode-forward scheme combines and generalizes Marton coding for single-hop broadcast channels and the…

Information Theory · Computer Science 2017-01-12 Sung Hoon Lim , Kwang Taik Kim , Young-Han Kim

In this paper, we consider a Gaussian two-way relay channel (GTRC), where two sources exchange messages with each other through a relay. We assume that there is no direct link between sources, and all nodes operate in full-duplex mode. By…

Information Theory · Computer Science 2013-01-29 Shahab Ghasemi-Goojani , Hamid Behroozi

We consider distributed computations between two parties carried out over a noisy channel that may erase messages. Following a noise model proposed by Dani et al. (2018), the noise level observed by the parties during the computation in our…

Data Structures and Algorithms · Computer Science 2019-09-17 Ran Gelles , Siddharth Iyer

We analyze coding for energy efficiency in relay channels at a fixed source rate. We first propose a half-duplex decode-forward coding scheme for the Gaussian relay channel. We then derive three optimal sets of power allocation, which…

Information Theory · Computer Science 2016-11-18 Fanny Parzysz , Mai Vu , François Gagnon

The L-user additive white Gaussian noise multiway relay channel is investigated, where L users exchange information at the same rate through a single relay. A new achievable rate region, based on the functional-decode-forward coding…

Information Theory · Computer Science 2012-09-10 Lawrence Ong , Christopher M. Kellett , Sarah J. Johnson

This paper considers the problem of transmitting the difference of two jointly Gaussian sources over a two-user additive Gaussian noise multiple access channel (MAC). The goal is to recover this difference within an average mean squared…

Information Theory · Computer Science 2008-12-08 Rajiv Soundararajan , Sriram Vishwanath