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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

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

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

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

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

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

Network coding is a new and promising paradigm for modern communication networks by allowing intermediate nodes to mix messages received from multiple sources. Compute-and-forward strategy is one category of network coding in which a relay…

Signal Processing · Electrical Eng. & Systems 2020-03-06 Lili Wei , Wen Chen

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 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 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

This paper studies Gaussian Two-Way Relay Channel where two communication nodes exchange messages with each other via a relay. It is assumed that all nodes operate in half duplex mode without any direct link between the communication nodes.…

Information Theory · Computer Science 2016-11-17 Sinda Smirani , Mohamed Kamoun , Mireille Sarkiss , Abdellatif Zaidi , Pierre Duhamel

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

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 this paper, a new two-way relaying scheme based on compute-and-forward (CMF) framework and relay selection strategies is proposed, which provides a higher throughput than the conventional two-way relaying schemes. Two cases of relays…

Information Theory · Computer Science 2014-10-13 Seyed Mohammad Azimi-Abarghouyi , Mohsen Hejazi , Masoumeh Nasiri-Kenari

In their landmark paper Cover and El Gamal proposed different coding strategies for the relay channel with a single relay supporting a communication pair. These strategies are the decode-and-forward and compress-and-forward approach, as…

Information Theory · Computer Science 2007-10-24 P. Rost , G. Fettweis

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

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 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

In this letter, the problem of implementing compute and forward (CF) is addressed. We present a practical signal model to implement CF which is built on the basis of Gaussian integer lattice partitions. We provide practical decoding…

Information Theory · Computer Science 2012-12-14 Smrati Gupta , M. A. Vázquez-Castro

Quantum relays are central to both quantum communication and distributed quantum computing, enabling long-distance transmission and modular architectures. Unlike classical repeaters, quantum repeaters preserve coherence without amplifying…

Quantum Physics · Physics 2025-09-03 Yigal Ilin , Uzi Pereg
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