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165 Results Found

  • Article
  • Open Access
1 Citations
2,725 Views
10 Pages

10 August 2023

In this article, a graph-theoretic method (taking advantage of constraints among sets associated with the corresponding parity-check matrices) is applied for the construction of a double low-density parity-check (D-LDPC) code (also known as LDPC code...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
5 Citations
3,487 Views
16 Pages

Error Exponents of LDPC Codes under Low-Complexity Decoding

  • Pavel Rybin,
  • Kirill Andreev and
  • Victor Zyablov

22 February 2021

This paper deals with the specific construction of binary low-density parity-check (LDPC) codes. We derive lower bounds on the error exponents for these codes transmitted over the memoryless binary symmetric channel (BSC) for both the well-known maxi...

(This article belongs to the Special Issue Information Theory for Channel Coding)
  • Article
  • Open Access
36 Citations
8,054 Views
24 Pages

Flexible 5G New Radio LDPC Encoder Optimized for High Hardware Usage Efficiency

  • Vladimir L. Petrović,
  • Dragomir M. El Mezeni and
  • Andreja Radošević

Quasi-cyclic low-density parity-check (QC–LDPC) codes are introduced as a physical channel coding solution for data channels in 5G new radio (5G NR). Depending on the use case scenario, this standard proposes the usage of a wide variety of codes, whi...

(This article belongs to the Section Circuit and Signal Processing)
  • Article
  • Open Access
12 Citations
6,573 Views
19 Pages

Efficient LDPC Encoder Design for IoT-Type Devices

  • Jakub Hyla,
  • Wojciech Sułek,
  • Weronika Izydorczyk,
  • Leszek Dziczkowski and
  • Wojciech Filipowski

28 February 2022

Low-density parity-check (LDPC) codes are known to be one of the best error-correction coding (ECC) schemes in terms of correction performance. They have been utilized in many advanced data communication standards for which the codecs are typically i...

(This article belongs to the Special Issue Advances of Energy Efficiency in Electrical Engineering and Electronics)
  • Article
  • Open Access
5,348 Views
14 Pages

Codeword Structure Analysis for LDPC Convolutional Codes

  • Hua Zhou,
  • Jiao Feng,
  • Peng Li and
  • Jingming Xia

14 December 2015

The codewords of a low-density parity-check (LDPC) convolutional code (LDPC-CC) are characterised into structured and non-structured. The number of the structured codewords is dominated by the size of the polynomial syndrome former matrix...

  • Article
  • Open Access
2 Citations
2,017 Views
14 Pages

An Efficient Two-Stage Decoding Scheme for LDPC-CRC Concatenated Codes

  • Lingjun Kong,
  • Haiyang Liu,
  • Yuezhuang Shi and
  • Jiacheng Miao

25 August 2025

In modern communication systems, the concatenation of a low-density parity-check (LDPC) code with a cyclic redundancy check (CRC) code is commonly used for error correction. In this paper, we propose a low-complexity two-stage scheme for decoding the...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
6 Citations
7,731 Views
16 Pages

Iterative Decoding of LDPC-Based Product Codes and FPGA-Based Performance Evaluation

  • Weigang Chen,
  • Wenting Zhao,
  • Hui Li,
  • Suolei Dai and ,
  • Changcai Han and
  • Jinsheng Yang
  • + 1 author+ 0 author

Low-density parity-check (LDPC) codes have the potential for applications in future high throughput optical communications due to their significant error correction capability and the parallel decoding. However, they are not able to satisfy the very...

(This article belongs to the Special Issue Optical Communications and Networks)
  • Article
  • Open Access
7 Citations
3,540 Views
14 Pages

Polar-Coded Transmission over 7.8-km Terrestrial Free-Space Optical Links

  • Shingo Fujita,
  • Eiji Okamoto,
  • Hideki Takenaka,
  • Hiroyuki Endo and ,
  • Mikio Fujiwara,
  • Mitsuo Kitamura,
  • Ryosuke Shimizu,
  • Masahide Sasaki and
  • Morio Toyoshima
  • + 4 authors+ 0 author

Free-space optical (FSO) communications can offer high-capacity transmission owing to the properties of the laser beams. However, performance degradation caused by atmospheric turbulence is an urgent issue. Recently, the application of polar codes, w...

(This article belongs to the Special Issue Advances in Free Space Optical Communications and Optical Turbulence Modeling)
  • Article
  • Open Access
3 Citations
3,363 Views
17 Pages

8 January 2024

This paper presents a coding scheme based on bilayer low-density parity-check (LDPC) codes for multi-level cell (MLC) NAND flash memory. The main feature of the proposed scheme is that it exploits the asymmetric properties of an MLC flash channel and...

(This article belongs to the Special Issue Advances in Information and Coding Theory II)
  • Article
  • Open Access
21 Citations
4,005 Views
13 Pages

High Efficiency Continuous-Variable Quantum Key Distribution Based on ATSC 3.0 LDPC Codes

  • Kun Zhang,
  • Xue-Qin Jiang,
  • Yan Feng,
  • Runhe Qiu and
  • Enjian Bai

27 September 2020

Due to the rapid development of quantum computing technology, encryption systems based on computational complexity are facing serious threats. Based on the fundamental theorem of quantum mechanics, continuous-variable quantum key distribution (CVQKD)...

(This article belongs to the Special Issue Information Theoretic Security and Privacy of Information Systems)
  • Article
  • Open Access
5 Citations
3,236 Views
14 Pages

Designing Protograph LDPC Codes for Differential Chaotic Bit-Interleaved Coded Modulation System for Underwater Acoustic Communications

  • Zhiping Xu,
  • Qiwang Chen,
  • Yang Li,
  • Guofa Cai and ,
  • Lixiong Lin,
  • Jiachun Zheng and
  • Yanglong Sun
  • + 2 authors+ 0 author

Underwater acoustic (UWA) communications face many challenges, such as large multipath delay, severe fading and the time-varying distortions. Chaotic modulations have shown advantages in UWA communications, but the reliability of current chaotic modu...

(This article belongs to the Special Issue Underwater Perception and Sensing with Robotic Sensors and Networks)
  • Article
  • Open Access
6 Citations
5,411 Views
16 Pages

30 October 2017

The multi-source cooperation integrating distributed low-density parity-check codes is investigated to jointly collect data from multiple sensor nodes to the mobile sink in the wireless sensor network. The one-round and two-round cooperative data col...

(This article belongs to the Collection Smart Communication Protocols and Algorithms for Sensor Networks)
  • Article
  • Open Access
4 Citations
2,991 Views
16 Pages

Coding blind recognition plays a vital role in non-cooperative communication. Most of the algorithm for coding blind recognition of Low Density Parity Check (LDPC) codes is difficult to apply and the problem of high time complexity and high space com...

(This article belongs to the Topic Machine Learning in Communication Systems and Networks)
  • Article
  • Open Access
1 Citations
2,779 Views
16 Pages

19 February 2023

A key component of the joint source-channel coding (JSCC) scheme based on double low-density parity-check (D-LDPC) codes is the introduction of a linking matrix between the source LDPC code and channel LDPC code, by which the decoding information inc...

(This article belongs to the Special Issue Advances in Information and Coding Theory)
  • Article
  • Open Access
8 Citations
3,715 Views
20 Pages

14 May 2021

Motivated by applications in unsourced random access, this paper develops a novel scheme for the problem of compressed sensing of binary signals. In this problem, the goal is to design a sensing matrix A and a recovery algorithm, such that the sparse...

(This article belongs to the Special Issue Information-Theoretic Aspects of Non-orthogonal and Massive Access for Future Wireless Networks)
  • Article
  • Open Access
6 Citations
6,382 Views
23 Pages

26 February 2022

In this study, a reconfigurable low-density parity-check (LDPC) decoder is designed with good hardware sharing for IEEE 802.15.3c, 802.11ad, and 802.11ay standards. This architecture flexibly supports 12 types of parity-check matrix. The switching ne...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
16 Citations
3,791 Views
17 Pages

A Flexible FPGA-Based Stochastic Decoder for 5G LDPC Codes

  • Sivarama Prasad Tera,
  • Rajesh Alantattil and
  • Roy Paily

13 December 2023

Iterative stochastic decoding is an alternative to standard fixed-point decoding of low-density parity check (LDPC) codes that can be used to minimize inter-node routing. A flexible field-programmable gate array (FPGA)-based stochastic decoding (SD)...

  • Article
  • Open Access
2 Citations
3,117 Views
21 Pages

14 June 2023

The large number of inexpensive and energy-efficient terminals in IoT systems is one of the emerging elements of the recent landscape of information and communication technologies. IoT nodes are usually embedded systems with limited processing power...

(This article belongs to the Section G1: Smart Cities and Urban Management)
  • Article
  • Open Access
1 Citations
2,599 Views
20 Pages

Optimized Design of Distributed Quasi-Cyclic LDPC Coded Spatial Modulation

  • Chunli Zhao,
  • Fengfan Yang,
  • Daniel Kariuki Waweru,
  • Chen Chen and
  • Hongjun Xu

30 March 2023

We propose a distributed quasi-cyclic low-density parity-check (QC-LDPC) coded spatial modulation (D-QC-LDPCC-SM) scheme with source, relay and destination nodes. At the source and relay, two distinct QC-LDPC codes are used. The relay chooses partial...

(This article belongs to the Section Intelligent Sensors)
  • Article
  • Open Access
470 Views
23 Pages

17 July 2026

Future wireless networks require channel coding schemes that can provide high reliability, low latency, and strong adaptability under finite-blocklength and structurally heterogeneous transmission scenarios. Globally coupled low-density parity-check...

(This article belongs to the Special Issue Key Technologies Towards Future Wireless Networks)
  • Article
  • Open Access
530 Views
17 Pages

On the Girth of Tanner QC-LDPC Cycle Codes: An Algebraic Number Theory Approach

  • Haipeng Yu,
  • Manjie Zhou,
  • Zhongyang Yu,
  • Mengmeng Xu and
  • Hengzhou Xu

21 May 2026

Tanner quasi-cyclic low-density parity-check (QC-LDPC) codes form an important family of structured LDPC codes with favorable girth properties. This paper studies the girth of Tanner (2, L)-regular QC-LDPC codes (referred to as Tanner QC-LDPC cy...

(This article belongs to the Special Issue Computational Algebra, Coding Theory and Cryptography: Theory and Applications, 3rd Edition)
  • Article
  • Open Access
1 Citations
1,445 Views
18 Pages

Low-Density Parity-Check Decoding Algorithm Based on Symmetric Alternating Direction Method of Multipliers

  • Ji Zhang,
  • Anmin Chen,
  • Ying Zhang,
  • Baofeng Ji and ,
  • Huaan Li and
  • Hengzhou Xu
  • + 1 author+ 0 author

9 April 2025

The Alternating Direction Method of Multipliers (ADMM) has proven to be an efficient approach for implementing linear programming (LP) decoding of low-density parity-check (LDPC) codes. By introducing penalty terms into the LP decoding model’s...

(This article belongs to the Special Issue Advances in Information and Coding Theory, the Third Edition)
  • Article
  • Open Access
2 Citations
2,670 Views
17 Pages

17 December 2020

Short or moderate-length non-binary low-density parity-check (NB-LDPC) codes have the potential applications in future low latency and high-reliability communication thanks to the strong error correction capability and parallel decoding. Because of t...

(This article belongs to the Special Issue Advances in Low-Latency Communications: Protocols, Applications, Challenges, and Opportunities)
  • Article
  • Open Access
17 Citations
5,852 Views
17 Pages

11 October 2018

In high-throughput applications, low-complexity and low-latency channel decoders are inevitable. Hence, for low-density parity-check (LDPC) codes, message passing decoding has to be implemented with coarse quantization—that is, the exchanged be...

(This article belongs to the Special Issue DSP for Next Generation Fibre Communication Systems)
  • Article
  • Open Access
1 Citations
2,926 Views
26 Pages

Generalized Adaptive Diversity Gradient Descent Bit-Flipping with a Finite State Machine

  • Jovan Milojković,
  • Srdjan Brkić,
  • Predrag Ivaniš and
  • Bane Vasić

9 January 2025

In this paper, we introduce a novel gradient descent bit-flipping algorithm with a finite state machine (GDBF-wSM) for iterative decoding of low-density parity-check (LDPC) codes. The algorithm utilizes a finite state machine to update variable node...

(This article belongs to the Special Issue Information Theory and Coding for Wireless Communications II)
  • Article
  • Open Access
3 Citations
5,078 Views
19 Pages

25 July 2018

In order to enhance the reliability and anti-interference performance of wireless sensor network (WSN) data transmission, this paper designs the low power scheme of the WSN from the angle of error correction coding and proposes the hybrid check matri...

(This article belongs to the Special Issue Low Energy Wireless Sensor Networks: Protocols, Architectures and Solutions)
  • Article
  • Open Access
3 Citations
5,170 Views
13 Pages

Fifth generation (5G) is a new generation mobile communication system developed for the growing demand for mobile communication. Channel coding is an indispensable part of most modern digital communication systems, for it can improve the transmission...

(This article belongs to the Section Information and Communications Technology)
  • Article
  • Open Access
2 Citations
4,555 Views
14 Pages

12 November 2020

Cells wear fast in NAND flash memory of high storage density (HSD), so it is very necessary to have a long-term frequent in-time monitoring on its raw bit error rate (RBER) changes through a fast RBER estimation method. As the flash of HSD already ha...

(This article belongs to the Special Issue Challenges and Applications of Non-volatile Memory)
  • Article
  • Open Access
4 Citations
3,481 Views
20 Pages

5 December 2024

With its high area density, bit-patterned media recording (BPMR) is emerging as a leading technology for next-generation storage systems. However, as area density increases, magnetic islands are positioned closer together, causing significant two-dim...

(This article belongs to the Special Issue Advancements in Artificial Intelligence (AI) for Engineering Applications)
  • Article
  • Open Access
5 Citations
6,721 Views
15 Pages

22 November 2019

High-order modulations are necessary to improve the bandwidth efficiency of the satellite communication system. However, the non-linear characteristic of satellite channels limits the application of high-order modulations. In this paper, we propose a...

(This article belongs to the Collection Millimeter and Terahertz Wireless Communications)
  • Article
  • Open Access
1 Citations
3,100 Views
17 Pages

6 October 2022

In this paper, we propose a finite alphabet iterative decoder (FAID) named rate-compatible mutual-information-maximizing quantized shuffled min-sum (RC-MIM-QSMS) decoder, for decoding quasi-cyclic low-density parity-check (QC-LDPC) codes with various...

(This article belongs to the Special Issue Multirate and Multicarrier Communication)
  • Article
  • Open Access
1,844 Views
27 Pages

28 February 2025

This paper examines the iterative decoding of low-density parity check (LDPC) codes concatenated with continuous phase modulation (CPM). As relevant case studies, we focus on the family of three CPM waveforms that are embodied in the IRIG-106 aeronau...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
20 Citations
5,084 Views
17 Pages

An FPGA Design with High Memory Efficiency and Decoding Performance for 5G LDPC Decoder

  • Bich Ngoc Tran-Thi,
  • Thien Truong Nguyen-Ly and
  • Trang Hoang

30 August 2023

A hardware-efficient implementation of a Low-Density Parity-Check (LDPC) decoder is presented in this paper. The proposed decoder design is based on the Hybrid Offset Min-Sum (HOMS) algorithm. In the check node processing of this decoder, only the fi...

  • Article
  • Open Access
4 Citations
4,381 Views
22 Pages

Suspicion Distillation Gradient Descent Bit-Flipping Algorithm

  • Predrag Ivaniš,
  • Srdjan Brkić and
  • Bane Vasić

15 April 2022

We propose a novel variant of the gradient descent bit-flipping (GDBF) algorithm for decoding low-density parity-check (LDPC) codes over the binary symmetric channel. The new bit-flipping rule is based on the reliability information passed from neigh...

(This article belongs to the Special Issue Information Theory and Coding for Wireless Communications)
  • Article
  • Open Access
7 Citations
3,945 Views
24 Pages

7 January 2024

An effective post-processing algorithm is essential for achieving high rates of secret key generation in quantum key distribution. This work introduces an approach to quantum key distribution post-processing by integrating the three main steps into a...

(This article belongs to the Special Issue Quantum and Classical Physical Cryptography)
  • Article
  • Open Access
2 Citations
3,334 Views
31 Pages

25 July 2025

Weighted belief propagation (WBP) for the decoding of linear block codes is considered. In WBP, the Tanner graph of the code is unrolled with respect to the iterations of the belief propagation decoder. Then, weights are assigned to the edges of the...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1 Citations
1,519 Views
20 Pages

RL-Based Parallel LDPC Decoding with Clustered Scheduling

  • Yusuf Ozkan,
  • Yauhen Yakimenka and
  • Jörg Kliewer

12 February 2026

We propose a reinforcement learning (RL)-based decoding framework for high-throughput parallel decoding of low-density parity-check (LDPC) codes using clustered scheduling. Parallel LDPC decoders must balance error-correction performance and decoding...

(This article belongs to the Special Issue Coding Theory and Its Applications)
  • Article
  • Open Access
180 Views
36 Pages

Girth Characterization of (3,29)-Regular Bipartite Graphs and Their Associated LDPC Codes

  • Hengzhou Xu,
  • Dongshu Chang,
  • Jinlan Guo,
  • Mengmeng Xu and
  • Qian Wang

14 October 2026

This paper studies a family of (3,29)-regular bipartite graphs introduced by Tanner for low-density parity-check (LDPC) codes. For a prime p≡1(mod87), the graph has 3p left vertices and 29p right vertices. In the associated LDPC code, the right...

(This article belongs to the Special Issue Key Technologies Towards Future Wireless Networks)
  • Article
  • Open Access
1 Citations
2,203 Views
12 Pages

23 August 2024

In this paper, new schemes have been proposed for the estimation of the additive white Gaussian noise (AWGN) channel with intersymbol interference (ISI) in an iterative equalization and decoding system using low-density parity check (LDPC) codes. Thi...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
5 Citations
2,957 Views
18 Pages

30 November 2024

Low-density parity-check (LDPC) codes form part of the IRIG-106 standard and have been successfully deployed for the Telemetry Group version of shaped-offset quadrature phase shift keying (SOQPSK-TG) modulation. Recently, LDPC code solutions have bee...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
5 Citations
3,350 Views
16 Pages

14 September 2023

Low-density parity-check (LDPC) codes are commonly used in communication systems to improve the system performance, but LDPC codes takes too long for decoding, making communication inefficient and unsuitable for short-frame data transmission methods....

(This article belongs to the Special Issue Applications and Challenges in Sonar Signal Processing)
  • Article
  • Open Access
2,352 Views
14 Pages

8 September 2023

Motivated by a family of binary cocyclic block matrices over GF(2), we proposed a construction method to gain the stabilizer of long-length quantum error-correction codes (QECCs). Stabilizer quantum codes (SQCs) can be obtained by the different rows...

(This article belongs to the Special Issue Quantum Communication and Quantum Key Distribution)
  • Article
  • Open Access
41 Citations
10,314 Views
18 Pages

22 February 2021

This paper presents a pipelined layered quasi-cyclic low-density parity-check (QC-LDPC) decoder architecture targeting low-complexity, high-throughput, and efficient use of hardware resources compliant with the specifications of 5G new radio (NR) wir...

(This article belongs to the Special Issue System-on-Chip (SoC) Design and Its Applications)
  • Article
  • Open Access
7 Citations
4,573 Views
16 Pages

19 August 2021

This paper presents a dual-mode low-density parity-check (LDPC) decoding architecture that has excellent error-correcting capability and a high parallelism design for fifth-generation (5G) new-radio (NR) applications. We adopted a high parallelism de...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
4 Citations
2,773 Views
11 Pages

12 March 2023

Due to the rapid growth in the global volume of data, deoxyribonucleic acid (DNA) data storage has emerged. Error correction in DNA data storage is a key part of this storage technology. In this paper, an improved marker code scheme is proposed to co...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
4 Citations
16,148 Views
34 Pages

Feedback Power Control Strategies inWireless Sensor Networks with Joint Channel Decoding

  • Andrea Abrardo,
  • Gianluigi Ferrari,
  • Marco Martalò and
  • Fabio Perna

3 November 2009

In this paper, we derive feedback power control strategies for block-faded multiple access schemes with correlated sources and joint channel decoding (JCD). In particular, upon the derivation of the feasible signal-to-noise ratio (SNR) region for the...

(This article belongs to the Special Issue Wireless Sensor Technologies and Applications)
  • Article
  • Open Access
5 Citations
3,059 Views
22 Pages

14 November 2023

In this article we present an iterative system of equalization and decoding to manage the intersymbol interference over an additive white Gaussian noise (AWGN) channel. Following the classic turbo equalization scheme, the proposed system consists of...

  • Article
  • Open Access
6 Citations
7,199 Views
21 Pages

28 March 2013

The algorithm and the results of a nonlinear detector using a machine learning technique called support vector machine (SVM) on an efficient modulation system with high data rate and low energy consumption is presented in this paper. Simulation resul...

(This article belongs to the Special Issue Medical & Biological Imaging)
  • Article
  • Open Access
1 Citations
1,600 Views
16 Pages

11 August 2023

The prohibitive computational complexity of optimal coded multiuser detection necessitates using suboptimal detectors in practical implementations. The filter is very computationally simple and is also demonstrated to provide faster convergence and s...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
852 Views
11 Pages

9 March 2026

In the realm of high-speed Ethernet networks, alien crosstalk (AXT) significantly undermines the integrity and efficiency of data transmission. While existing works mostly focus on modeling and physical-layer mitigation techniques such as PAM16/DSQ12...

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