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Although extensively investigated, the capacity of the two-hop half-duplex (HD) relay channel is not fully understood. In particular, a capacity expression which can be evaluated straightforwardly is not available and an explicit coding…

Information Theory · Computer Science 2015-10-13 Nikola Zlatanov , Vahid Jamali , Robert Schober

Low-density parity-check (LDPC) codes are specified by graphs, and are the error correction technique of choice in many communications and data storage contexts. Message passing decoders diffuse information carried by parity bits into the…

Information Theory · Computer Science 2023-05-02 Beyza Dabak , Ece Tiryaki , Robert Calderbank , Ahmed Hareedy

We present a method for estimating the undetected error rate when a cyclic redundancy check (CRC) is performed on the output of the decoder of short low-density parity-check (LDPC) codes. This system is of interest for telecommand links,…

Information Theory · Computer Science 2016-11-18 Marco Baldi , Nicola Maturo , Giacomo Ricciutelli , Franco Chiaraluce

The typical behaviour of the relay-without-delay channel and its many-units generalisation, termed the relay array, under LDPC coding, is studied using methods of statistical mechanics. A demodulate-and-forward strategy is analytically…

Statistical Mechanics · Physics 2007-08-03 Roberto C. Alamino , David Saad

This paper is concerned with a class of low density generator matrix codes (LDGM), called repetition and superposition (RaS) codes, which have been proved to be capacity-achieving over binary-input output-symmetric (BIOS) channels in terms…

Information Theory · Computer Science 2024-02-22 Yixin Wang , Xiao Ma

We present a new class of irregular low-density parity-check (LDPC) codes for moderate block lengths (up to a few thousand bits) that are well-suited for rate-compatible puncturing. The proposed codes show good performance under puncturing…

Information Theory · Computer Science 2016-11-18 Jaehong Kim , Aditya Ramamoorthy , Steven W. McLaughlin

Physical-layer network coding improves the throughput of the two-way relay channel by allowing multiple source terminals to transmit simultaneously to the relay. However, it is generally not feasible to align the phases of the multiple…

Information Theory · Computer Science 2013-02-27 Terry Ferrett , Matthew C. Valenti , Don Torrieri

We present an analysis, under iterative decoding, of coset LDPC codes over GF(q), designed for use over arbitrary discrete-memoryless channels (particularly nonbinary and asymmetric channels). We use a random-coset analysis to produce an…

Information Theory · Computer Science 2007-07-16 Amir Bennatan , David Burshtein

A non-binary (2,v)-regular LDPC code is defined by a parity-check matrix with column weight 2 and row weight v. In this report, we give an ontology-based approach to the optimization for this class of codes. All possible inter-connected…

Information Theory · Computer Science 2014-09-09 Chao Chen

We investigate joint network and channel coding schemes for networks when relay nodes are not capable of performing channel coding operations. Rather, channel encoding is performed at the source node while channel decoding is done only at…

Information Theory · Computer Science 2011-12-12 Sarah J. Johnson , Lawrence Ong , Christopher M. Kellett

Low-density parity-check (LDPC) codes with the parity-based approach for distributed joint source channel coding (DJSCC) with decoder side information is described in this paper. The parity-based approach is theoretical limit achievable.…

Information Theory · Computer Science 2014-04-10 Feng Cen

The problem of simultaneous multicasting of multiple messages with the help of a relay terminal is considered. In particular, a model is studied in which a relay station simultaneously assists two transmitters in multicasting their…

Information Theory · Computer Science 2009-02-19 Deniz Gunduz , Osvaldo Simeone , Andrea J. Goldsmith , H. Vincent Poor , Shlomo Shamai

This letter describes how to improve performance of cellular systems by combining non-equiprobable signaling (shaping) with low-density parity check (LDPC) coding for an orthogonal frequency division multiplexing system. We focus on…

Signal Processing · Electrical Eng. & Systems 2026-02-03 Sandesh Rao Mattu , Nishant Mehrotra , Robert Calderbank

We consider a communication system where two transmitters wish to exchange information through a half-duplex relay in the middle. The channels between the transmitters and the relay have asymmetric channel gains. More specifically, the…

Information Theory · Computer Science 2009-08-18 Makesh Pravin Wilson , Krishna Narayanan

This paper proposes a new coded modulation scheme for reliable transmission of short data packets at very low signal-to-noise ratio, combining cyclic code shift keying modulation and non-binary polar coding. We consider non-binary polar…

Information Theory · Computer Science 2022-04-07 Valentin Savin

Linear nested codes, where two or more sub-codes are nested in a global code, have been proposed as candidates for reliable multi-terminal communication. In this paper, we consider nested array-based spatially coupled low-density…

Information Theory · Computer Science 2021-02-23 Salman Habib , David G. M. Mitchell , Joerg Kliewer

We analyze nonbinary spatially-coupled low-density parity-check (SC-LDPC) codes built on the general linear group for transmission over the binary erasure channel. We prove threshold saturation of the belief propagation decoding to the…

Information Theory · Computer Science 2014-07-23 Alexandre Graell i Amat , Iryna Andriyanova , Amina Piemontese

We study multi-user multi-way relay networks where $N$ user nodes exchange their information through a single relay node. We use network coding in the relay to increase the throughput. Due to the limitation of complexity, we only consider…

Information Theory · Computer Science 2013-03-20 Ang Yang , Zesong Fei , Chengwen Xing , Ming Xiao , Jinhong Yuan , Jingming Kuang

Ultra-reliable low latency communication (URLLC) is a key part of 5G wireless systems. Achieving low latency necessitates codes with short blocklengths for which polar codes with successive cancellation list (SCL) decoding typically…

Hardware Architecture · Computer Science 2025-12-22 Darja Nonaca , Jérémy Guichemerre , Reinhard Wiesmayr , Nihat Engin Tunali , Christoph Studer

In this paper, we investigate the impact of network coding at the relay node on the stable throughput rate in multicasting cooperative wireless networks. The proposed protocol adopts Network-level cooperation in contrast to the traditional…

Information Theory · Computer Science 2010-09-01 Anthony Fanous , Anthony Ephremides