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Related papers: Compute-and-Forward over Block-Fading Channels Usi…

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We propose a coding scheme that achieves the capacity of the compound MIMO channel with algebraic lattices. Our lattice construction exploits the multiplicative structure of number fields and their group of units to absorb ill-conditioned…

Information Theory · Computer Science 2017-01-11 Antonio Campello , Cong Ling , Jean-Claude Belfiore

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

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

We consider explicit constructions of multi-level lattice codes that universally approach the capacity of the compound block-fading channel. Specifically, building on algebraic partitions of lattices, we show how to construct codes with…

Information Theory · Computer Science 2017-05-09 Antonio Campello , Ling Liu , Cong Ling

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

LDPC lattices were the first family of lattices which have an efficient decoding algorithm in high dimensions over an AWGN channel. Considering Construction D' of lattices with one binary LDPC code as underlying code gives the well known…

Information Theory · Computer Science 2016-12-14 Hassan Khodaiemehr , Mohammad-Reza Sadeghi , Daniel Panario

We construct multilevel lattice codes from multiquadratic number fields for the compound block-fading wiretap channel. More precisely, we specialize Construction $\pi_A$ over the ring of integers $\mathcal{O}_K$ and exploit rational primes…

Information Theory · Computer Science 2026-04-15 Juliana G. F. Souza , Conghui Li , Cong Ling

Interference Alignment is a new solution to over- come the problem of interference in multiuser wireless com- munication systems. Recently, the Compute-and-Forward (CF) transform has been proposed to approximate the capacity of K- user…

Information Theory · Computer Science 2014-10-09 Ehsan Ebrahimi Khaleghi , Jean-Claude Belfiore

The Forward-Forward (FF) Algorithm has been recently proposed to alleviate the issues of backpropagation (BP) commonly used to train deep neural networks. However, its current formulation exhibits limitations such as the generation of…

Machine Learning · Computer Science 2024-03-29 Andreas Papachristodoulou , Christos Kyrkou , Stelios Timotheou , Theocharis Theocharides

This work addresses the question of achieving capacity with lattice codes in multi-antenna block fading channels when the number of fading blocks tends to infinity. In contrast to the standard approach in the literature which employs random…

Information Theory · Computer Science 2015-01-28 Laura Luzzi , Roope Vehkalahti

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

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

-In this work, we focus on the K--user Gaussian Symmetric Complex-valued Interference Channels (GS-CIC). The Compute-and-Forward (CoF) protocol in wireless networks have been employed for Gaussian Symmetric Real-valued Interference Channels…

Information Theory · Computer Science 2016-05-11 Ehsan Ebrahimi Khaleghi , Jean-Claude Belfiore

Polar codes attract more and more attention of researchers in recent years, since its capacity achieving property. However, their error-correction performance under successive cancellation (SC) decoding is inferior to other modern channel…

Signal Processing · Electrical Eng. & Systems 2019-03-11 Yu Wang , Lirui Chen , Qinglin Wang , Yang Zhang , Zuocheng Xing

Compute-and-forward (CF) harnesses interference in wireless communications by exploiting structured coding. The key idea of CF is to compute integer combinations of codewords from multiple source nodes, rather than to decode individual…

Information Theory · Computer Science 2017-03-21 Hai Cheng , Xiaojun Yuan , Yihua Tan

As the mobile application landscape expands, wireless networks are tasked with supporting various connection profiles, including real-time communications and delay-sensitive traffic. Among many ensuing engineering challenges is the need to…

Information Theory · Computer Science 2012-02-13 Fatemeh Hamidi-Sepehr , Jean-Francois Chamberland , Henry Pfister

We investigate practical finite-blocklength classical-quantum channel coding over the quantum amplitude damping channel (ADC), aiming to transmit classical information reliably through quantum outputs. Our findings indicate that for any…

Information Theory · Computer Science 2025-09-19 Tamás Havas , Hsuan-Yin Lin , Eirik Rosnes , Ching-Yi Lai

A novel construction of lattices is proposed. This construction can be thought of as a special class of Construction A from codes over finite rings that can be represented as the Cartesian product of $L$ linear codes over…

Information Theory · Computer Science 2017-06-23 Yu-Chih Huang , Krishna R. Narayanan

In this work, we propose phase precoding for the compute-and-forward (CoF) protocol. We derive the phase precoded computation rate and show that it is greater than the original computation rate of CoF protocol without precoder. To maximize…

Information Theory · Computer Science 2014-01-29 Amin Sakzad , Emanuele Viterbo , Joseph Jean Boutros , Yi Hong

Recent work for single-relay channels shows that quantize-forward (QF) with long-message encoding achieves the same reliable rates as compress-forward (CF) with short-message encoding. It is shown that short-message QF with backward or…

Information Theory · Computer Science 2011-05-06 Gerhard Kramer , Jie Hou