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Previous approaches to compute-and-forward (C\&F) are mostly based on quantizing channel coefficients to integers. In this work, we investigate the C\&F strategy over block fading channels using Construction A over rings, so as to allow…

Information Theory · Computer Science 2017-05-09 Shanxiang Lyu , Antonio Campello , Cong Ling , Jean-Claude Belfiore

We consider the compute-and-forward paradigm with limited feedback. Without feedback, compute-and-forward is typically realized with lattice codes over the ring of integers, the ring of Gaussian integers, or the ring of Eisenstein integers,…

Information Theory · Computer Science 2016-12-26 Yu-Chih Huang , Krishna R. Narayanan , Ping-Chung Wang

In this paper, we consider the use of lattice codes over Eisenstein integers for implementing a compute-and-forward protocol in wireless networks when channel state information is not available at the transmitter. We extend the…

Information Theory · Computer Science 2014-10-22 Nihat Engin Tunali , Yu-Chih Huang , Joseph J. Boutros , Krishna R. 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 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 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

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

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

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

We analyze the asymptotic behavior of compute-and-forward relay networks in the regime of high signal-to-noise ratios. We consider a section of such a network consisting of K transmitters and K relays. The aim of the relays is to reliably…

Information Theory · Computer Science 2015-03-17 Urs Niesen , Phil Whiting

We address in this paper decoding aspects of the Compute-and-Forward (CF) physical-layer network coding strategy. It is known that the original decoder for the CF is asymptotically optimal. However, its performance gap to optimal decoders…

Information Theory · Computer Science 2014-04-18 Asma Mejri , Ghaya Rekaya-Ben Othman

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

We study a distributed antenna system where $L$ antenna terminals (ATs) are connected to a Central Processor (CP) via digital error-free links of finite capacity $R_0$, and serve $K$ user terminals (UTs). We contribute to the subject in the…

Information Theory · Computer Science 2013-03-06 Song-Nam Hong , Giuseppe Caire

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

This paper addresses point-to-point communication over block-fading channels with independent fading blocks. When both channel state information at the transmitter (CSIT) and receiver (CSIR) are available, most achievable schemes use…

Information Theory · Computer Science 2018-08-28 Ahmed Hindy , Aria Nosratinia

In this paper, we study a compute-and-forward (CAF) relaying scheme with low-density parity-check (LDPC) codes, a special case of physical layer network coding, under the quadrature phase shift keying (QPSK) modulation. The novelty of this…

Information Theory · Computer Science 2019-04-18 Satoshi Takabe , Tadashi Wadayama , Ángeles Vazquez-Castro , Masahito Hayashi

Compute-and-Forward is an emerging technique to deal with interference. It allows the receiver to decode a suitably chosen integer linear combination of the transmitted messages. The integer coefficients should be adapted to the channel…

Information Theory · Computer Science 2014-10-15 Saeid Sahraei , Michael Gastpar

Integer coefficient selection is an important decoding step in the implementation of compute-and-forward (C-F) relaying scheme. Choosing the optimal integer coefficients in C-F has been shown to be a shortest vector problem (SVP) which is…

Information Theory · Computer Science 2016-11-17 William Liu , Cong Ling

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 new achievable rate region is given for the Gaussian cognitive many-to-one interference channel. The proposed novel coding scheme is based on the compute-and-forward approach with lattice codes. Using the idea of decoding sums of…

Information Theory · Computer Science 2016-11-18 Jingge Zhu , Michael Gastpar
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