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We investigate the use of Gallager's low-density parity-check (LDPC) codes in a broadcast channel, one of the fundamental models in network information theory. Combining linear codes is a standard technique in practical network…

Statistical Mechanics · Physics 2009-11-07 Kazutaka Nakamura , Robert Morelos-Zaragoza , David Saad , Yoshiyuki Kabashima

One of the challenges often faced with wireless communication systems is its limited range and data-rate. Distributed Transmit Beamforming (DTB) techniques are being developed to address these two issues to provide reliable connectivity…

Signal Processing · Electrical Eng. & Systems 2018-07-18 Ismail Shakeel , Ishtiaq Ahmad , Hajime Suzuki

This paper describes an efficient implementation of binning for the relay channel using low-density parity-check (LDPC) codes. We devise bilayer LDPC codes to approach the theoretically promised rate of the decode-and-forward relaying…

Information Theory · Computer Science 2016-11-17 Peyman Razaghi , Wei Yu

It is widely accepted that quantum error correction is essential for realizing large-scale fault-tolerant quantum computing. Recent experiments have demonstrated error correction codes operating below threshold, primarily using local planar…

Quantum Physics · Physics 2026-01-21 Christian Kraglund Andersen , Eliška Greplová

A method for estimating the performance of low-density parity-check (LDPC) codes decoded by hard-decision iterative decoding algorithms on binary symmetric channels (BSC) is proposed. Based on the enumeration of the smallest weight error…

Information Theory · Computer Science 2007-07-13 Hua Xiao , Amir H. Banihashemi

Spiking neural networks (SNNs) are neural networks that enable energy-efficient signal processing due to their event-based nature. This paper proposes a novel decoding algorithm for low-density parity-check (LDPC) codes that integrates SNNs…

Signal Processing · Electrical Eng. & Systems 2024-10-16 Alexander von Bank , Eike-Manuel Edelmann , Sisi Miao , Jonathan Mandelbaum , Laurent Schmalen

Upcoming modern communications are based on 5G specifications and aim at providing solutions for novel vertical industries. One of the major changes of the physical layer is the use of Low-Density Parity-Check (LDPC) code for channel…

Signal Processing · Electrical Eng. & Systems 2020-07-16 Pol Henarejos , Miguel Ángel Vázquez

For efficient modulation and error control coding, the deliberate flipping approach imposes the run-length-limited(RLL) constraint by bit error before recording. From the read side, a high coding rate limits the correcting capability of RLL…

Information Theory · Computer Science 2023-10-11 Hong-fu Chou

In this paper, a new decoding scheme for low-density parity-check (LDPC) codes using the concept of simple product code structure is proposed based on combining two independently received soft-decision data for the same codeword. LDPC codes…

Information Theory · Computer Science 2024-10-30 Beomkyu Shin , Seokbeom Hong , Hosung Park , Jong-Seon No , Dong-Joon Shin

Deep learning based decoding networks have shown significant improvement in decoding LDPC codes, but the neural decoders are limited by rate-matching operations such as puncturing or extending, thus needing to train multiple decoders with…

Signal Processing · Electrical Eng. & Systems 2023-10-11 Yukun Cheng , Wei Chen , Lun Li , Bo Ai

Fair-density parity-check (FDPC) codes have been recently introduced demonstrating improved performance compared to low-density parity-check (LDPC) codes standardized in 5G systems particularly in high-rate regimes. In this paper, we…

Information Theory · Computer Science 2025-10-02 Niloufar Hosseinzadeh , Mohsen Moradi , Hessam Mahdavifar

In this study, a scheduling policy of layered decoding for quasi-cycle (QC) low-density parity-check (LDPC) codes with high throughput and good performance is designed. The influence of scheduling on the delay of the decoder's hardware…

Information Theory · Computer Science 2025-05-27 Dongxu Chang , Qingqing Peng , Guanghui Wang , Guiying Yan

We study the performance of nonbinary low-density parity-check (LDPC) codes over finite integer rings over two channels that arise from the Lee metric. The first channel is a discrete memory-less channel (DMC) matched to the Lee metric. The…

Information Theory · Computer Science 2022-10-19 Jessica Bariffi , Hannes Bartz , Gianluigi Liva , Joachim Rosenthal

This paper presents several new construction techniques for low-density parity-check (LDPC) and systematic repeat-accumulate (RA) codes. Based on specific classes of combinatorial designs, the improved code design focuses on high-rate…

Information Theory · Computer Science 2018-07-03 Alexander Gruner , Michael Huber

Low-density parity-check (LDPC) codes have been used for communication over a two-user Gaussian broadcast channel. It has been shown in the literature that the optimal decoding of such system requires joint decoding of both user messages at…

Information Theory · Computer Science 2016-11-18 Mahdi Ramezani , Masoud Ardakani

We introduce and study a family of rate-compatible Low-Density Parity-Check (LDPC) codes characterized by very simple encoders. The design of these codes starts from simplex codes, which are defined by parity-check matrices having a…

Information Theory · Computer Science 2023-09-27 Massimo Battaglioni , Marco Baldi , Franco Chiaraluce , Giovanni Cancellieri

This work considers optimizing LDPC codes in the physical-layer network coded two-way relay channel using noncoherent FSK modulation. The error-rate performance of channel decoding at the relay node during the multiple-access phase was…

Information Theory · Computer Science 2015-02-23 Terry Ferrett , Matthew C. Valenti

Irregular low-density parity check (LDPC) codes are particularly well-suited for transmission schemes that require unequal error protection (UEP) of the transmitted data due to the different connection degrees of its variable nodes.…

Information Theory · Computer Science 2011-02-01 H. V. Beltrao Neto , W. Henkel , V. C. da Rocha

In this paper, we introduce a new practical and general method for solving the main problem of designing the capacity approaching, optimal rate, irregular low-density parity-check (LDPC) code ensemble over binary erasure channel (BEC).…

Information Theory · Computer Science 2016-11-18 H. Tavakoli , M. Ahmadian Attari , M. Reza Peyghami

Finding optimal message quantization is a key requirement for low complexity belief propagation (BP) decoding. To this end, we propose a floating-point surrogate model that imitates quantization effects as additions of uniform noise, whose…

Information Theory · Computer Science 2022-08-11 Marvin Geiselhart , Ahmed Elkelesh , Jannis Clausius , Fei Liang , Wen Xu , Jing Liang , Stephan ten Brink