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Journal articles on the topic 'NB LDPC code'

Author: Grafiati

Published: 5 June 2025

Last updated: 1 August 2025

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1

M.Sakthivel, Raja M.Karthick, KR.Ragupathy, and Kumar K.Sathis. "PERFORMANCE COMPARISON OF EG-LDPC CODES WITH MAXIMUM LIKELIHOOD ALGORITHM OVER NON-BINARY LDPC CODES." International Journal of Computational Science and Information Technology (IJCSITY) 2, May (2014): 1–11. https://doi.org/10.5281/zenodo.3517939.

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<strong>ABSTRACT </strong> Error correcting coding has become one essential part in nearly all the modern data transmission and storage systems. Low density parity check (LDPC) codes are a class of linear block code has the superior performance closer to the Shannon’s limit. In this paper two error correcting codes from the family of LDPC codes specifically Euclidean Geometry Low Density Parity Check (EG-LDPC) codes and Nonbinary low density parity check (NB-LDPC) codes are compared in terms of power consumption, number of iterations and other parameters. For better performance of EG-LDP

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2

Han, Changcai, Hui Li, and Weigang Chen. "Minimum Distance Optimization with Chord Edge Growth for High Girth Non-Binary LDPC Codes." Electronics 9, no. 12 (2020): 2161. http://dx.doi.org/10.3390/electronics9122161.

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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 the existence of the error floor, the NB-LDPC codes usually cannot satisfy very low bit error rate (BER) requirements. In this paper, a low-complexity method is proposed for optimizing the minimum distance of the NB-LDPC code in a progressive chord edge growth manner. Specifically, each chord edge connecting two non-adjacent vertices is added to the

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3

Xue, Rui, Tong Wang, Yanbo Sun, and Huaiyu Tang. "Optimized Design for NB-LDPC-Coded High-Order CPM: Power and Iterative Efficiencies." Symmetry 12, no. 8 (2020): 1353. http://dx.doi.org/10.3390/sym12081353.

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In this paper, a non-binary low-density parity-check (NB-LDPC) coded high-order continuous phase modulation (CPM) system is designed and optimized to improve power and iterative efficiencies. Firstly, the minimum squared normalized Euclidean distance and the 99% double-sided power bandwidth are introduced to design a competitive CPM, improving its power efficiency under a given code rate and spectral efficiency. Secondly, a three-step method based on extrinsic information transfer (EXIT) and entropy theory is used to design NB-LDPC codes, which reduces the convergence threshold approximately 0

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4

Pham, Huyen Thi, Hung Tuan Dao, and Nghia Xuan Pham. "Simplified Variable Node Unit Architecture for Nonbinary LDPC Decoder." Journal of Science and Technology on Information security 9, no. 01 (2020): 12–19. http://dx.doi.org/10.54654/isj.v9i01.36.

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Abstract— Nonbinary low-density-parity-check (NB-LDPC) code outperforms their binary counterpart in terms of error correcting performance and error-floor property when the code length is moderate. However, the drawback of NB-LDPC decoders is high complexity and the complexity increases considerably when increasing the Galois-field order. In this paper, a simplified basic-set trellis min-max (sBS-TMM) algorithm that is especially efficient for high-order Galois Fields, is proposed for the variable node processing to reduce the complexity of the variable node unit (VNU) as well as the whole deco

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5

Fatima, Zahrae Zenkouar, El Alaou Mustapha, and Najah Said. "GF(q) LDPC encoder and decoder FPGA implementation using group shuffled belief propagation algorithm." International Journal of Electrical and Computer Engineering (IJECE) 12, no. 3 (2022): 2184–93. https://doi.org/10.11591/ijece.v12i3.pp2184-2193.

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This paper presents field programmable gate array (FPGA) exercises of the GF(q) low-density parity-check (LDPC) encoder and interpreter utilizing the group shuffled belief propagation (GSBP) algorithm are presented in this study. For small blocks, non-dual LDPC codes have been shown to have a greater error correction rate than dual codes. The reduction behavior of non-binary LDPC codes over GF (16) (also known as GF(q)-LDPC codes) over the additive white Gaussian noise (AWGN) channel has been demonstrated to be close to the Shannon limit and employs a short block length (N=600 bits). At the sa

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6

Dinh, The Cuong, Huyen Pham Thi, Hung Dao Tuan, and Nghia Pham Xuan. "ONE-MINIUM-ONLY BASIC-SET TRELLIS MIN-MAX DECODER ARCHITECTURE FOR NONBINARY LDPC CODE." Journal of Computer Science and Cybernetics 37, no. 2 (2021): 91–106. http://dx.doi.org/10.15625/1813-9663/37/2/15917.

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Nonbinary low-density-parity-check (NB-LDPC) code outperforms their binary counterpart in terms of error-correcting performance and error-floor property when the code length is moderate. However, the drawback of NB-LDPC decoders is high complexity and the complexity increases considerably when increasing the Galois-field order. In this paper, an One-Minimum-Only basic-set trellis min-max (OMO-BS-TMM) algorithm and the corresponding decoder architecture are proposed for NBLDPC codes to greatly reduce the complexity of the check node unit (CNU) as well as the whole decoder. In the proposed OMO-B

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7

El maammar, Nejwa, Seddik Bri, and Jaouad Foshi. "A comparative simulation study of different decoding schemes in LDPC coded OFDM systems for NB-PLC channel." Indonesian Journal of Electrical Engineering and Computer Science 15, no. 1 (2019): 306. http://dx.doi.org/10.11591/ijeecs.v15.i1.pp306-313.

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In this paper, we study the performance of Low density Parity Check (LDPC) coded orthogonal frequency-division multiplexing (COFDM) systems when they are applied on the short data block of a narrowband (NB) power line communications (PLC) channel. In the modelled system simulations have been performed using different code lengths. It is assumed that the channel has a multipath propagation with two different noise scenarios: AWGN background noise with and without the presence of impulsive noise. Performances of Various soft and hard decision LDPC decoder schemes such as belief propagation (BP),

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8

Zenkouar, Fatima Zahrae, Mustapha El Alaoui, and Said Najah. "GF(q) LDPC encoder and decoder FPGA implementation using group shuffled belief propagation algorithm." International Journal of Electrical and Computer Engineering (IJECE) 12, no. 3 (2022): 2184. http://dx.doi.org/10.11591/ijece.v12i3.pp2184-2193.

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This paper presents field programmable gate array (FPGA) exercises of the GF(q) low-density parity-check (LDPC) encoder and interpreter utilizing the group shuffled belief propagation (GSBP) algorithm are presented in this study. For small blocks, non-dual LDPC codes have been shown to have a greater error correction rate than dual codes. The reduction behavior of non-binary LDPC codes over GF (16) (also known as GF(q)-LDPC codes) over the additive white Gaussian noise (AWGN) channel has been demonstrated to be close to the Shannon limit and employs a short block length (N=600 bits). At the sa

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9

Zhao, Dan-feng, Hai Tian, and Rui Xue. "Adaptive Rate-Compatible Non-Binary LDPC Coding Scheme for the B5G Mobile System." Sensors 19, no. 5 (2019): 1067. http://dx.doi.org/10.3390/s19051067.

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This paper studies an adaptive coding scheme for B5G (beyond 5th generation) mobile system-enhanced transmission technology. Different from the existing works, the authors develop a class of rate-compatible, non-binary, low-density parity check (RC-NB-LDPC) codes, which expresses the strong connection between the algebra-based and graph-theoretic-based constructions. The constructed codes can not only express rate-compatible (RC) features, but also possess a quasi-cyclic (QC) structure that facilitates the encoding implementation. Further, in order to achieve the code rate-adaptive allocation

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10

Макаров, О. Ю., Н. В. Астахов, А. В. Башкиров, М. В. Хорошайлова, and А. С. Демихова. "LOW-COMPLEXITY NON-BINARY LDPC DECODER MODEL BASED ON THE EXTENDED MIN-SUM ALGORITHM." ВЕСТНИК ВОРОНЕЖСКОГО ГОСУДАРСТВЕННОГО ТЕХНИЧЕСКОГО УНИВЕРСИТЕТА, no. 3 (July 2, 2021): 73–77. http://dx.doi.org/10.36622/vstu.2021.17.3.010.

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Информация, представленная в данной статье, направлена на уменьшение вычислительной сложности при моделировании помехоустойчивого декодера, работающего по алгоритму MIN-SUM. Основное внимание в представленной работе уделяется модификациям проверочной матрицы, в которых улучшена производительность декодирования с пониженной вычислительной сложностью. Слабым местом общепринятой модели является повышенное требование к объему памяти и вычислительная сложность. Модификации в алгоритме могут улучшить его показатели при разработке аппаратной архитектуры NB-LDPC-декодера. Приведен анализ производитель

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11

Ke, Jing, Xiaochun Lu, Xue Wang, Xiaofei Chen, and Sheng Tang. "Decoding Performance Analysis of GNSS Messages with Land Mobile Satellite Channel in Urban Environment." Electronics 7, no. 11 (2018): 273. http://dx.doi.org/10.3390/electronics7110273.

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Demand for Global Navigation Satellite System (GNSS) applications in the urban environment has experienced a remarkable growth in recent years. However, the received signals are subjected to various urban channel impairments, like shadowing and multipath fading. Therefore, the decoding performance is different from that in open-sky conditions. In this paper, a two-state Land Mobile Satellite (LMS) channel based on the Markov process is used to model the urban channel properties, and then, the analysis of decoding performance in terms of frame error rate (FER) in the LMS channel is performed by

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12

Kang, Weimin. "A Nonbinary LDPC-Coded Probabilistic Shaping Scheme for a Rayleigh Fading Channel." Entropy 24, no. 11 (2022): 1649. http://dx.doi.org/10.3390/e24111649.

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In this paper, a novel, nonbinary (NB) LDPC-coded probabilistic shaping (PS) scheme for a Rayleigh fading channel is proposed. For the NB LDPC-coded PS scheme in Rayleigh fading channel, the rotation angle of 16 quadrature amplitude modulation (QAM) constellations, 64QAM constellations and 256QAM constellations are optimized by the exhaustive search. The simulation results verify the information–theoretical analysis. Compared with the binary LDPC-coded PS scheme for Rayleigh fading channel, the proposed NB LDPC-coded PS scheme can improve error performance. In summary, the proposed NB LDPC-cod

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13

Thuan. "IMPLEMENTATION OF SOME DECODING ALGORITHMS FOR NB-LDPC CODES ON FPGA." Journal of Military Science and Technology, no. 69A (November 16, 2020): 1–10. http://dx.doi.org/10.54939/1859-1043.j.mst.69a.2020.1-10.

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Non-binary low-density parity-check codes (NB-LDPC) provide better error correction performance in comparison with their counterparts. However, the NB-LDPC decoder has a very high complexity, especially the processing of the check node unit. This paper evaluates the error correction performance of some decoding algorithms for NB-LDPC codes in different fields with different codeword lengths. The paper also presents the results of the implementation a decoder structure for the NB-LDPC (35,23) over GF(8) on the Spartan 6 board. Analysis and evaluation results show that decoding quality on hardwa

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14

Chehade, Tarek, Ludovic Collin, Philippe Rostaing, Emanuel Radoi, and Oussama Bazzi. "Power Allocation Optimization: Linear Precoding Adapted to NB-LDPC Coded MIMO Transmission." International Journal of Antennas and Propagation 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/975139.

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In multiple-input multiple-output (MIMO) transmission systems, the channel state information (CSI) at the transmitter can be used to add linear precoding to the transmitted signals in order to improve the performance and the reliability of the transmission system. This paper investigates how to properly join precoded closed-loop MIMO systems and nonbinary low density parity check (NB-LDPC). Theqelements in the Galois field, GF(q), are directly mapped toqtransmit symbol vectors. This allows NB-LDPC codes to perfectly fit with a MIMO precoding scheme, unlike binary LDPC codes. The new transmissi

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15

Liu, Yanyan, Weigang Chen, Anguo Wang, and Changcai Han. "Combination of High-Order Modulation and Non-Binary LDPC Codes over GF(7) for Non-Linear Satellite Channels." Electronics 8, no. 12 (2019): 1396. http://dx.doi.org/10.3390/electronics8121396.

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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 new 7-point constellation which is expected to be effectively applied to the satellite communication system, and combine it with non-binary low-density parity-check (NB-LDPC) codes over Galois field GF(7) to guarantee the reliability of the data transmission. The exact expression for the average symbol error probability (SEP) of 7-order quadrature

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16

Vuong, Bao Quoc, Kien Trang, An Hoang Nguyen, and Hung Ngoc Do. "Non-binary codes approach on the performance of short-packet full-duplex transmissions." International Journal of Electrical and Computer Engineering (IJECE) 14, no. 2 (2024): 1683–90. https://doi.org/10.11591/ijece.v14i2.pp1683-1690.

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This paper illustrates the enhancement of the performance of short-packet full-duplex (FD) transmission by taking the approach of non-binary low density parity check (NB-LDPC) codes over higher Galois field. For the purpose of reducing the impacts of self-interference (SI), high order of modulation, complexity, and latency decoder, a blind feedback process composed of channels estimation and decoding algorithm is implemented. In particular, this method uses an iterative process to simultaneously suppress SI component of FD transmission, estimate intended channel, and decode messages. The resul

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17

Vuong, Bao Quoc, Kien Trang, An Hoang Nguyen, and Hung Ngoc Do. "Non-binary codes approach on the performance of short-packet full-duplex transmissions." International Journal of Electrical and Computer Engineering (IJECE) 14, no. 2 (2024): 1683. http://dx.doi.org/10.11591/ijece.v14i2.pp1683-1690.

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This paper illustrates the enhancement of the performance of short-packet full-duplex (FD) transmission by taking the approach of non-binary low density parity check (NB-LDPC) codes over higher Galois ﬁeld. For the purpose of reducing the impacts of self-interference (SI), high order of modulation, complexity, and latency decoder, a blind feedback process composed of channels estimation and decoding algorithm is implemented. In particular, this method uses an iterative process to simultaneously suppress SI component of FD transmission, estimate intended channel, and decode messages. The result

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18

Tian, Jing, Suwen Song, Jun Lin, and Zhongfeng Wang. "Optimized Trellis-Based Min-Max Decoder for NB-LDPC Codes." IEEE Transactions on Circuits and Systems II: Express Briefs 67, no. 1 (2020): 57–61. http://dx.doi.org/10.1109/tcsii.2019.2900088.

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19

Yang, Xiao, Ming Jiang, Zhengyi Li, Chen Wang, and Chunming Zhao. "Efficient decoding approach for NB-LDPC codes with short blocklength." IET Communications 13, no. 14 (2019): 2141–45. http://dx.doi.org/10.1049/iet-com.2018.6099.

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20

Wijekoon, V. B., Emanuele Viterbo, Yi Hong, Rino Micheloni, and Alessia Marelli. "A Novel Graph Expansion and a Decoding Algorithm for NB-LDPC Codes." IEEE Transactions on Communications 68, no. 3 (2020): 1358–69. http://dx.doi.org/10.1109/tcomm.2019.2961884.

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21

Song, Suwen, Hangxuan Cui, Jing Tian, Jun Lin, and Zhongfeng Wang. "A Novel Iterative Reliability-Based Majority-Logic Decoder for NB-LDPC Codes." IEEE Transactions on Circuits and Systems II: Express Briefs 67, no. 8 (2020): 1399–403. http://dx.doi.org/10.1109/tcsii.2019.2938562.

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22

Liu, Xiying, Shancheng Zhao, and Xiao Ma. "A low complexity detection/decoding algorithm for NB-LDPC coded PRCPM system." Physical Communication 17 (December 2015): 165–71. http://dx.doi.org/10.1016/j.phycom.2015.08.011.

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23

Wang, Zhong-xun, Yang Xi, and Zhan-kai Bao. "Nonbinary Low-Density Parity Check Decoding Algorithm Research-Based Majority Logic Decoding." International Journal of Pattern Recognition and Artificial Intelligence 34, no. 12 (2020): 2058016. http://dx.doi.org/10.1142/s0218001420580161.

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In the nonbinary low-density parity check (NB-LDPC) codes decoding algorithms, the iterative hard reliability based on majority logic decoding (IHRB-MLGD) algorithm has poor error correction performance. The essential reason is that the hard information is used in the initialization and iterative processes. For the problem of partial loss of information, when the reliability is assigned during initialization, the error correction performance is improved by modifying the assignment of reliability at initialization. The initialization process is determined by the probability of occurrence of the

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24

Ł., Januszkiewicz, Bacci G., Gierszal H., and Luise M. "Code-Aided Turbo Channel Estimation for OFDM Systems with NB-LDPC Codes." June 28, 2010. https://doi.org/10.5281/zenodo.1083399.

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In this paper channel estimation techniques are considered as the support methods for OFDM transmission systems based on Non Binary LDPC (Low Density Parity Check) codes. Standard frequency domain pilot aided LS (Least Squares) and LMMSE (Linear Minimum Mean Square Error) estimators are investigated. Furthermore, an iterative algorithm is proposed as a solution exploiting the NB-LDPC channel decoder to improve the performance of the LMMSE estimator. Simulation results of signals transmitted through fading mobile channels are presented to compare the performance of the proposed channel estimato

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25

Ł., Kiedrowski, Gierszal H., and Hołubowicz W. "H-ARQ Techniques for Wireless Systems with Punctured Non-Binary LDPC as FEC Code." June 24, 2010. https://doi.org/10.5281/zenodo.1060663.

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This paper presents the H-ARQ techniques comparison for OFDM systems with a new family of non-binary LDPC codes which has been developed within the EU FP7 DAVINCI project. The punctured NB-LDPC codes have been used in a simulated model of the transmission system. The link level performance has been evaluated in terms of spectral efficiency, codeword error rate and average number of retransmissions. The NB-LDPC codes can be easily and effective implemented with different methods of the retransmission needed if correct decoding of a codeword failed. Here the Optimal Symbol Selection method is pr

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26

Harb, Hassan, Ali Chamas Al Ghouwayel, Laura Conde-Canencia, Cédric Marchand, and Emmanuel Boutillon. "Ultra-High-Throughput EMS NB-LDPC Decoder with Full-Parallel Node Processing." Journal of Signal Processing Systems, July 22, 2022. http://dx.doi.org/10.1007/s11265-022-01795-y.

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AbstractThis paper presents an ultra-high-throughput decoder architecture for NB-LDPC codes based on the Hybrid Extended Min-Sum algorithm. We introduce a new processing block that updates a check node and its associated variable nodes in a fully pipelined way, thus allowing the decoder to process one row of the parity check matrix per clock cycle. The work specifically focuses on a rate 5/6 code of size (N, K) = (144, 120) symbols over GF(64). The synthesis results on a 28-nm technology show that for a 0.789 M NAND-gates complexity complexity, the architecture reaches a decoding throughput of

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27

P, Sajith Sethu, and Sam Solomon. "Efficient non-binary QC-LDPC coded modulation scheme for long haul optical systems." Journal of Optics, September 4, 2024. http://dx.doi.org/10.1088/2040-8986/ad773f.

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Abstract Coded modulation which combines channel codes with high dimensional modulation schemes is an attractive technique to improve the spectral efficiency in high speed optical transmission systems. Non-binary low density parity check (NB LDPC) codes can provide larger coding gains with smaller codword lengths compared to its binary counterpart, in addition to reducing the latency of the system. Majority of works based on NB LDPC coded modulation focus on bit interleaved coded modulation (BICM) and the widely used additive white Gaussian noise (AWGN) channel model. However, the Gaussian cha

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28

Wijekoon, V. B., Emanuele Viterbo, and Yi Hong. "Decoding of NB-LDPC codes over Subfields." IEEE Transactions on Communications, 2020, 1. http://dx.doi.org/10.1109/tcomm.2020.3036073.

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Song, Suwen, Jing Tian, Jun Lin, and Zhongfeng Wang. "An Improved Reliability-Based Decoding Algorithm for NB-LDPC Codes." IEEE Communications Letters, 2021, 1. http://dx.doi.org/10.1109/lcomm.2021.3049602.

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30

Mitra, Debarnab, Jayanth Shreekumar, Lev Tauz, Murat Can Sarihan, Chee Wei Wong, and Lara Dolecek. "Efficient information reconciliation in quantum key distribution systems using informed design of non-binary LDPC codes." Quantum Information Processing 23, no. 4 (2024). http://dx.doi.org/10.1007/s11128-024-04343-8.

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AbstractIn quantum key distribution (QKD), two users extract a shared secret key using a quantum communication channel in the presence of an eavesdropper. Among QKD protocols, the ones based on energy-time (ET) entanglement of photons have been studied extensively due to their ability to generate high key rates from the arrival times of entangled photons. For the information reconciliation (IR) stage of ET-QKD protocols (where the users communicate using a classical channel in order to reconcile differences in their data), a scheme called multi-level coding (MLC) was proposed by Zhou et al. in

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Bocharova, Irina E., Boris D. Kudryashov, Evgenii P. Ovsyannikov, Vitaly Skachek, and Tahvend Uustalu. "Design and Analysis of NB QC-LDPC Codes over Small Alphabets." IEEE Transactions on Communications, 2022, 1. http://dx.doi.org/10.1109/tcomm.2022.3160176.

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Huang, Wenyu, Wenyue Zhou, Yutai Sun, et al. "SHINE: Symbol-based Heuristic Iterative NB-LDPC Coded MIMO BP Detection and Decoding." IEEE Communications Letters, 2025, 1. https://doi.org/10.1109/lcomm.2025.3561223.

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Haroun, Ali, Ali Chamas Al-Ghouwayel, Hussein Hijazi, and Christophe Jego. "A Novel JFG Detection-Decoding Approach of a Vertical Shuffle Scheduling for Iterative MIMO Receivers with NB-LDPC Codes." Signal Processing, August 2021, 108287. http://dx.doi.org/10.1016/j.sigpro.2021.108287.

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