Overview of LDPC Codes

Tu, Zongjie; Zhang, Shiyong

doi:10.1109/cit.2007.7

Cited by 8 publications

(3 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It could be represented in two manners: either in parity check matrix H or using tanner graph, which is simply bipartite graphs, used to express LDPC in a graph representation. Two types of nodes in the Tanner graph: variable nodes, which define a single column in the parity-check matrix, as well as check nodes, which define a single row in the parity-check matrix [11]. The sparsity of the H matrix means that there is less number of 1's than zeros, which will help LDPC codes expand in the smallest amount of space.…”

Section: Types and Representation Of Ldpcmentioning

confidence: 99%

See 1 more Smart Citation

A Review of Modern and Recent Studies on the Low-Density Parity-Check Technology Approach

2023

IJCCCE

View full text Add to dashboard Cite

Data theory coding is an excellent and well-known branch of study that has produced various crucial solutions to the insoluble challenges of safe data transfers. Last improvements in detecting error techniques have resulted in a significant increase in the use of low-density parity-check (LDPC) code to address critical concerns connected to secure data transfer. Until now, decent efforts have been performed on LDPC codes that target low complexity, high performance, and low bit error rate goals. The final aim of this review is to provide a recent literature understanding of modern improvements previously mentioned and in LDPC encoding and decoding (applicative and theoretical) techniques. A comparative scan of many remarkable LDPC decoding algorithms, 5G standard requirements, popular power management methods, and low-energy LDPC design studies is also shown. Lastly, conclusions are presented by outlining key study results, current concerns, and general thoughts on new research directions possibilities. Index Terms— low-density parity-check encoder/decoder (LDPC), error correction codes (ECC), forward error correction codes (FEC), parity check matrix(PCM).

show abstract

Section: Types and Representation Of Ldpcmentioning

confidence: 99%

“…Type of LDPC used and purpose of implementation. Whether to improve performance, reduce complexity, increase throughput, and so on, such as the following [1]- [3], [11], [15], [17]- [21] conducted a comprehensive survey on LDPC code encoding and decoding techniques (in both academic and industry).…”

Section: Related Workmentioning

confidence: 99%

A Review of Modern and Recent Studies on the Low-Density Parity-Check Technology Approach

2023

IJCCCE

View full text Add to dashboard Cite

show abstract

“…Due to the limited characteristics of computers at that times, this class of linear code was absent till 1990s where they have been reinvented through the Macky and Neal works, its has been shown that LDPC codes performance is near to Shannon limit performance with belief propagation algorithm (BPA) [4]. There are characteristics that distinguish LDPC codes from Turbo codes, such as superior performance when the block length is large, enormous flexibility, easy description and subsequent theoretical venerability, decreased decoding complexity, and so on [5].…”

Section: Related Work 21 Low Density Parity Check Codesmentioning

confidence: 99%

On the computation of the automorphisms group of low density parity check codes using genetic algorithm

Bellfkih

Nouh

Idrissi

et al. 2022

IJEECS

View full text Add to dashboard Cite

<p>The genetic algorithm (GA) is an adaptive metaheuristic search method based on the process of evolution and natural selection theory. It is an efficient algorithm used for solving the combinatorial optimization problems, e.g., travel salesman problem (TSP), linear ordering problem (LOP), and job-shop scheduling problem (JSP). The simple GA applied takes a long time to reach the optimal solution, the configuration of the GA parameters is vital for a successful GA search and convergence to optimal solutions, it includes population size, crossover operator, and mutation operator rates. Also, very recently, many research papers involved the GA in coding theory, In particular, in the decoding linear block codes case, which has heavily contributed to reducing the complexity, and guaranting the convergence of searching in fewer iterations. In this paper, an efficient method based on the genetic algorithm is proposed, and it is used for computing the Automorphisms groups of low density parity check (LDPC) codes, the results of the aforementioned method show a significant efficiency in finding an important set of Automorphisms set of LDPC codes.</p>

show abstract

A comparative design of 5G communication codes

Anand Kumar,

Nandalal

2024

Int J Communication

View full text Add to dashboard Cite

SummaryChannel coding is the most significant part of every communication system. Future wireless systems will require extraordinary performance codes employing a low‐complication encoding process and decoding to accommodate scenarios ranging from effective throughput with low code rates for extended messages to high dependability for brief information messages with low code rates. The existence of digital transmission techniques that can communicate error‐free over a noisy channel is established by Shannon's channel theorem. Channel coding, however, increases communication dependability at the cost of higher computational costs and structured redundancy. The primary goals of the fifth‐generation cellular network (5G) are enhanced dependability, reduced redundancy, and decreased latency. Two promising communication systems for achieving this goal are LDPC codes and polar codes. The 3GPP, which established the 5G communication system, is reviewed in this paper, along with the encoding/decoding procedure and communication dependability. The encoding/decoding process will be evaluated using the three most studied communication channels: the Binary Erasure Channel (BEC), AWGN (Additive White Gaussian Noise), and the BSC (Binary Symmetric Channel).

show abstract

Overview of LDPC Codes

Cited by 8 publications

References 9 publications

A Review of Modern and Recent Studies on the Low-Density Parity-Check Technology Approach

A Review of Modern and Recent Studies on the Low-Density Parity-Check Technology Approach

On the computation of the automorphisms group of low density parity check codes using genetic algorithm

A comparative design of 5G communication codes

Contact Info

Product

Resources

About