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In this paper, we consider a system in which multiple users communicate with a destination with the help of multiple half-duplex relays. Based on the compute-and-forward scheme, each relay, instead of decoding the users' messages, decodes…

Information Theory · Computer Science 2014-10-20 Mohieddine El Soussi , Abdellatif Zaidi , Luc Vandendorpe

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

Interference is usually viewed as an obstacle to communication in wireless networks. This paper proposes a new strategy, compute-and-forward, that exploits interference to obtain significantly higher rates between users in a network. The…

Information Theory · Computer Science 2011-06-14 Bobak Nazer , Michael Gastpar

Compute and Forward (CF) is a coding scheme which enables receivers to decode linear combinations of simultaneously transmitted messages while exploiting the linear properties of lattice codes and the additive nature of a shared medium. The…

Information Theory · Computer Science 2020-05-12 Ori Shmuel , Asaf Cohen , Omer Gurewitz

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

We investigate techniques for designing modulation/coding schemes for the wireless two-way relaying channel. The relay is assumed to have perfect channel state information, but the transmitters are assumed to have no channel state…

Information Theory · Computer Science 2011-07-29 Brett Hern , Krishna Narayanan

We examine the benefits of user cooperation under compute-and-forward. Much like in network coding, receivers in a compute-and-forward network recover finite-field linear combinations of transmitters' messages. Recovery is enabled by linear…

Information Theory · Computer Science 2012-03-06 Matthew Nokleby , Behnaam Aazhang

In this work, we investigate a multi-source multi-cast network with the aid of an arbitrary number of relays, where it is assumed that no direct link is available at each S-D pair. The aim is to find the fundamental limit on the maximal…

Information Theory · Computer Science 2014-06-05 Z. Chen , P. Fan , K. B. Letaief

The Compute-and-Forward relaying strategy achieves high computation rates by decoding linear combinations of transmitted messages at intermediate relays. However, if the involved relays independently choose which combinations of the…

Information Theory · Computer Science 2015-04-21 Amaro Barreal , Joonas Pääkkönen , David Karpuk , Camilla Hollanti , Olav Tirkkonen

Compute and Forward (CF) is a promising relaying scheme which, instead of decoding single messages or forwarding/amplifying information at the relay, decodes linear combinations of the simultaneously transmitted messages. The current…

Information Theory · Computer Science 2017-05-23 Ori Shmuel , Asaf Cohen , Omer Gurewitz

The compute-and-forward framework permits each receiver in a Gaussian network to directly decode a linear combination of the transmitted messages. The resulting linear combinations can then be employed as an end-to-end communication…

Information Theory · Computer Science 2016-11-17 Bobak Nazer , Viveck Cadambe , Vasilis Ntranos , Giuseppe Caire

We consider the design of coding schemes for the wireless two-way relaying channel when there is no channel state information at the transmitter. In the spirit of the compute and forward paradigm, we present a multilevel coding scheme that…

Information Theory · Computer Science 2016-11-17 Brett Hern , Krishna Narayanan

The compute-and-forward (CoF) is a relaying protocol, which uses algebraic structured codes to harness the interference and remove the noise in wireless networks. We propose the use of phase precoders at the transmitters of a network, where…

Information Theory · Computer Science 2014-09-30 Amin Sakzad , Emanuele Viterbo , Joseph Jean Boutros , Yi Hong

Compute-forward is a coding technique that enables receiver(s) in a network to directly decode one or more linear combinations of the transmitted codewords. Initial efforts focused on Gaussian channels and derived achievable rate regions…

Information Theory · Computer Science 2021-10-04 Adriano Pastore , Sung Hoon Lim , Chen Feng , Bobak Nazer , Michael Gastpar

This paper proposes a relaying strategy for the multiple-relay network in which each relay decodes a selection of transmitted messages by other transmitting terminals, and forwards parities of the decoded codewords. This protocol improves…

Information Theory · Computer Science 2007-11-20 P. Razaghi , W. Yu

We investigate cooperative wireless relay networks in which the nodes can help each other in data transmission. We study different coding strategies in the single-source single-destination network with many relay nodes. Given the myriad of…

Information Theory · Computer Science 2010-04-15 Lawrence Ong , Mehul Motani

Compute-and-forward (CPF) strategy is one category of network coding in which a relay will compute and forward a linear combination of source messages according to the observed channel coefficients, based on the algebraic structure of…

Signal Processing · Electrical Eng. & Systems 2020-03-09 Lili Wei , Wen Chen

We consider the design and analysis of coding schemes for the binary input two way relay channel with erasure noise. We are particularly interested in reliable physical layer network coding in which the relay performs perfect error…

Information Theory · Computer Science 2016-11-17 Brett Hern , Krishna Narayanan

In a recent work, Nazer and Gastpar proposed the Compute-and-Forward strategy as a physical-layer network coding scheme. They described a code structure based on nested lattices whose algebraic structure makes the scheme reliable and…

Information Theory · Computer Science 2011-07-04 Ali Osmane , Jean-Claude Belfiore

Compute-and-forward (CF) is a relaying strategy which allows the relay to decode a linear combination of the transmitted messages. This work studies the optimal power allocation problem for the CF scheme in fast fading channels for…

Information Theory · Computer Science 2024-11-18 Lanwei Zhang , Jamie Evans , Jingge Zhu
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