Decoding Algorithms for Nonbinary LDPC Codes Over GF

D Declercq, M Fossorier - IEEE transactions on communications, 2007 - ieeexplore.ieee.org
In this letter, we address the problem of decoding nonbinary low-density parity-check
(LDPC) codes over finite fields GF (q), with reasonable complexity and good performance. In …

Stochastic decoding of LDPC codes over GF (q)

G Sarkis, S Hemati, S Mannor… - IEEE transactions on …, 2013 - ieeexplore.ieee.org
Despite the outstanding performance of non-binary low-density parity-check (LDPC) codes
over many communication channels, they are not in widespread use yet. This is due to the …

Combine LDPC codes over GF (q) with q-ary modulations for bandwidth efficient transmission

B Rong, T Jiang, X Li… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
Low-density parity-check (LDPC) codes are playing more and more important role in digital
broadcasting standards due to their excellent error correction performance. In this paper, we …

Adaptive multiset stochastic decoding of non-binary LDPC codes

A Ciobanu, S Hemati, WJ Gross - IEEE Transactions on Signal …, 2013 - ieeexplore.ieee.org
We propose a non-binary stochastic decoding algorithm for low-density parity-check (LDPC)
codes over GF (q) with degree two variable nodes, called Adaptive Multiset Stochastic …

A new stopping criterion for fast low-density parity-check decoders

T Xia, HC Wu, SCH Huang - 2013 IEEE Global …, 2013 - ieeexplore.ieee.org
Nonbiliary low-density parity-check (LDPC) codes can lead to excellent error performance
while the codewords are of short or moderate length. However, the high decoding …

Enhancement of LED indoor communications using OPPM-PWM modulation and grouped bit-flipping decoding

A Yang, X Li, T Jiang - Optics express, 2012 - opg.optica.org
Combination of overlapping pulse position modulation and pulse width modulation at the
transmitter and grouped bit-flipping algorithm for low-density parity-check decoding at the …

GF (q) 域上非规则LDPC 码EXIT 图分析方法研究

许拔, 张仲明, 何英亮, 张尔扬 - 计算机工程与科学, 2011 - joces.nudt.edu.cn
GF (q) 域上非规则LDPC 码是二进制非规则LDPC 码在有限域GF (q= 2p) 上的扩展,
在码长和码率相等的情况下, 具有比二进制非规则LDPC 码更优异的性能. 如何分析GF (q) …

On the Performance of Link Space Communications using NB-LDPC Codes on Embedded Parallel Systems

O Ferraz, V Silva, G Falcao - 2021 55th Asilomar Conference on …, 2021 - ieeexplore.ieee.org
This paper introduces a novel concept for exploiting low-power edge graphics processing
units (GPUs) for decoding higher-order non-binary low-density parity-check (LDPC) codes …

Transform-based computation of the distribution of a linear combination of random variables over arbitrary finite fields

TK Moon, JH Gunther - IEEE Signal Processing Letters, 2011 - ieeexplore.ieee.org
Several authors have developed a Hadamard (variously called FFT) transform technique for
fast belief propagation over GF(q), where in all prior work q=2^m for some m. The belief …

GF (q) 域上LDPC 码的改进扩展最小和译码算法

许拔, 张仲明, 何英亮, 张尔扬 - 应用科学学报, 2010 - jas.shu.edu.cn
通过分析扩展最小和算法(EMS) 存在的问题, 提出了一种针对q 元LDPC 码的改进译码算法.
不同于EMS 算法固定每次迭代中FHT 的阶数, 该算法根据每次迭代中变量节点的概率分布对的 …