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1

Laouar, Oulfa, Imed Amamra, and Nadir Derouiche. "EXIT chart analysis of regular and irregular LDPC convolutional codes on AWGN channel." Bulletin of Electrical Engineering and Informatics 14, no. 1 (2025): 338–56. http://dx.doi.org/10.11591/eei.v14i1.8260.

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Low-density parity-check (LDPC) codes are widely recognized for their excellent forward error correction, near-Shannon-limit performance, and support for high data rates with effective hardware parallelization. Their convolutional counterpart, LDPC convolutional codes (LDPC-CCs), offer additional advantages such as variable codeword lengths, unlimited parity-check matrices, and simpler encoding and decoding. These features make LDPC-CCs particularly suitable for practical implementations with varying channel conditions and data frame sizes. This paper investigates the performance of LDPC-CCs u
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Abdel, Halim A. Zikry, Y. Hassan Ashraf, I. Shaban Wageda, and F. Abdel-Momen Sahar. "Performance Analysis of LDPC Decoding Techniques." International Journal of Recent Technology and Engineering (IJRTE) 9, no. 5 (2021): 17–26. https://doi.org/10.35940/ijrte.E5067.019521.

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<strong>Abstract:</strong> Low density parity checking codes (LDPC) are one of the most important issues in coding theory at present. LDPC-code are a type of linear-block LDPC-codes. Channel coding might be considered as the finest conversant and most potent components of cellular communications systems, that was employed for transmitting errors corrections imposed by noise, fading and interfering. LDPC-codes are advanced coding gain, i.e., new area in coding. the performances of LDPC-code are similar to the Shannon-limiting, this led to the usage of decoding in several applications in digital
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P, Shahnas. "Performance Analysis of Regular and Irregular LDPC Codes on SPIHT Coded Image Data." International Journal of Computer Communication and Informatics 2, no. 2 (2020): 1–5. http://dx.doi.org/10.34256/ijcci2021.

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The LDPC (Low Density Parity Check Code) has Shown interesting results for transmitting embedded bit streams over noisy communication channels. Performance comparison of regular and irregular LDPC codes with SPIHT coded image is done here. Different Error Sensitive classes of image data are obtained by using SPIHT algorithm as an image coder. Irregular LDPC codes map the more important class of data into a higher degree protection class to provide more protection. Different degree protection classes of an LDPC code improves the overall performance of data transmission against channel errors. S
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Punit, Upmanyu*, and Saurabh Gaur Prof. "PERFORMANCE EVOLUTION OF PAPR REDUCTION IN OFDM WITH AND WITHOUT LDPC TECHNIQUE." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 5, no. 3 (2016): 372–78. https://doi.org/10.5281/zenodo.47200.

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The OFDM is one of the proven multicarrier modulation techniques, which provides high spectral efficiency, low implementation complexity, less vulnerability to echoes and non-linear distortion. Apart from the above advantages presently this technique is used by almost all wireless standards and above. The one major shortcoming in the implementation of this system is the high PAPR (peak-to-average power ratio) of this system. In this paper, Irregular Low-Density-Parity Check encoder is used effectively to reduce PAPR problem&amp; improves BER. Low Density Parity Check codes (LDPC) are promising
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Baldi, Marco, Giovanni Cancellieri, Franco Chiaraluce, and Amedeo De Amicis De Amicis. "Regular and Irregular Multiple Serially- Concatenated Multiple-Parity-Check Codes for Wireless Applications." Journal of Communications Software and Systems 5, no. 4 (2009): 140. http://dx.doi.org/10.24138/jcomss.v5i4.200.

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Multiple Serially-Concatenated Multiple-Parity-Check (M-SC-MPC) codes are a class of structured Low-Density Parity-Check (LDPC) codes, characterized by very simple encoding, that we have recently introduced. This paper evidences how the design of M-SC-MPC codes can be optimized for their usage in wireless applications. For such purpose, we consider some Quasi-Cyclic LDPC codes included in the mobile WiMax standard, and compare their performance with that of M-SCMPC codes having the same parameters. We also present a simple modification of the inner structure of M-SC-MPC codes that can help to
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6

Anbuselvi, M., P. Saravanan, and S. Joseph Gladwin. "Analysis of a Code Construction Method for Non-Binary Quasi-Cyclic Irregular Low Density Parity Check Decoder." Journal of Computational and Theoretical Nanoscience 15, no. 2 (2018): 719–24. http://dx.doi.org/10.1166/jctn.2018.7151.

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Non-binary LDPC codes is a class of linear block code outperform in the short and moderate block length, closer to Shannon's limit. The numerical strength of the decoder is proportional to the sparsity of the parity check matrix. A Hierarchically Diagonal Parity Check Matrix (HDPCM) with better sparseness is constructed to optimize the computation complexity and decoding performance. The decoder based on the proposed matrix using FFT-SP decoding algorithm is analyzed, with different modulation schemes and channel environment. The positive impact of the constructed matrix is elaborated, conclud
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7

T. Sasikala. "Cross layered adaptive rate optimized irregular LDPC for WSN." International Journal of Science and Research Archive 11, no. 2 (2024): 1668–74. http://dx.doi.org/10.30574/ijsra.2024.11.2.0655.

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This paper proposes a cross layered adaptive rate optimized technique that uses irregular low-density parity-check (LDPC) codes over an additive white Gaussian noise (AWGN) channel in wireless sensor networks (WSNs). Irregular LDPC is used as error control code. Cross layer design along with error control code gives the energy balance in the network. This new algorithm uses the physical layer parameters such as coherence time of the channel, BER and SNR and the routing layer parameter such as demanded data rate to determine the rate of the LDPC coder. The algorithm adaptively changes the code
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Prasartkaew, Chutima, Piya Kovintavewat, and Somsak Choomchuay. "Combined Coding Algorithm of LDPC Codes in Bit-Patterned Media Recording Channels." Advanced Materials Research 979 (June 2014): 70–74. http://dx.doi.org/10.4028/www.scientific.net/amr.979.70.

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This paper presents a new coding algorithm of irregular low-density parity-check (LDPC) codes. This algorithm consists of two parts of block codes; parity bits was encoded using the magic square based algorithm (MSBA) which suitable for the short block (less than 500 bits) and the data bits, the rest part of all block codes, was encoded using the random number table. This proposed coding algorithm is called ‘Combined Coding Algorithm LDPC codes (CCA-LDPC codes)’ which can be used in bit-patterned media recording (BPMR) channels. The performance of the constructed codes was numerically simulate
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9

Hwang, Inho, Han Park, and Jeong Lee. "LDPC Coded Massive MIMO Systems." Entropy 21, no. 3 (2019): 231. http://dx.doi.org/10.3390/e21030231.

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We design a coded massive multiple-input multiple-output (MIMO) system using low-density parity-check (LDPC) codes and iterative joint detection and decoding (JDD) algorithm employing a low complexity detection. We introduce the factor graph representation of the LDPC coded massive MIMO system, based on which the message updating rule in the JDD is defined. We devise a tool for analyzing extrinsic information transfer (EXIT) characteristics of messages flowing in the JDD and the three-dimensional (3-D) EXIT chart provides a visualization of the JDD behavior. Based on the proposed 3-D EXIT anal
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10

ZHENG, XIA, FRANCIS C. M. LAU, CHI K. TSE, and S. C. WONG. "STUDY OF BIFURCATION BEHAVIOR OF LDPC DECODERS." International Journal of Bifurcation and Chaos 16, no. 11 (2006): 3435–49. http://dx.doi.org/10.1142/s0218127406016926.

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The use of low-density-parity-check (LDPC) codes in coding digital messages has aroused much research interest because of their excellent bit-error performance. The behavior of the iterative LDPC decoders of finite length, however, has not been fully evaluated under different signal-to-noise conditions. By considering the finite-length LDPC decoders as high-dimensional nonlinear dynamical systems, we attempt to investigate their dynamical behavior and bifurcation phenomena for a range of signal-to-noise ratios (SNRs). Extensive simulations have been performed on both regular and irregular LDPC
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11

Jouguet, Paul, and Sebastien Kunz-Jacques. "High performance error correction for quantum key distribution using polar codes." Quantum Information and Computation 14, no. 3&4 (2014): 329–38. http://dx.doi.org/10.26421/qic14.3-4-8.

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We study the use of polar codes for both discrete and continuous variables Quantum Key Distribution (QKD). Although very large blocks must be used to obtain the efficiency required by quantum key distribution, and especially continuous variables quantum key distribution, their implementation on generic x86 Central Processing Units (CPUs) is practical. Thanks to recursive decoding, they exhibit excellent decoding speed, much higher than large, irregular Low Density Parity Check (LDPC) codes implemented on similar hardware, and competitive with implementations of the same codes on high-end Graph
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12

Mouhcine, Razi, Benhayoun Mhammed, Mansouri Anass, and Ahaitouf Ali. "An improvement and a fast DSP implementation of the bit flipping algorithms for low density parity check decoder." International Journal of Electrical and Computer Engineering (IJECE) 11, no. 6 (2021): 4774–84. https://doi.org/10.11591/ijece.v11i6.pp4774-4784.

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For low density parity check (LDPC) decoding, hard-decision algorithms are sometimes more suitable than the soft-decision ones. Particularly in the high throughput and high-speed applications. However, there exists a considerable gap in performances between these two classes of algorithms in favor of softdecision algorithms. In order to reduce this gap, in this work we introduce two new improved versions of the hard-decision algorithms, the adaptative gradient descent bit-flipping (AGDBF) and adaptative reliability ratio weighted GDBF (ARRWGDBF). An adaptative weighting and correction factor i
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13

Razi, Mouhcine, Mhammed Benhayoun, Anass Mansouri, and Ali Ahaitouf. "An improvement and a fast DSP implementation of the bit flipping algorithms for low density parity check decoder." International Journal of Electrical and Computer Engineering (IJECE) 11, no. 6 (2021): 4774. http://dx.doi.org/10.11591/ijece.v11i6.pp4774-4784.

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&lt;span lang="EN-US"&gt;For low density parity check (LDPC) decoding, hard-decision algorithms are sometimes more suitable than the soft-decision ones. Particularly in the high throughput and high speed applications. However, there exists a considerable gap in performances between these two classes of algorithms in favor of soft-decision algorithms. In order to reduce this gap, in this work we introduce two new improved versions of the hard-decision algorithms, the adaptative gradient descent bit-flipping (AGDBF) and adaptative reliability ratio weighted GDBF (ARRWGDBF). An adaptative weighti
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14

Petrović, Vladimir, and Mezeni El. "Reduced-complexity offset min-sum check node unit for layered 5G LDPC decoder." Telfor Journal 13, no. 1 (2021): 7–12. http://dx.doi.org/10.5937/telfor2101007p.

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This paper presents a novel approach for the reduced-complexity Min-Sum (MS) decoding of low density parity check (LDPC) codes in the partially parallel layered decoder architecture, which contains a large number of serial check node processors. Reduced complexity is obtained by using the variant of the single-minimum Offset Min-Sum (smOMS) algorithm that approximates a second minimum with the addition of the variable weight parameter to the minimum value. Although the reduced-complexity MS algorithms primarily reduce hardware resources in fully parallel implementations, the results showed tha
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15

Stark, Maximilian, Jan Lewandowsky, and Gerhard Bauch. "Information-Bottleneck Decoding of High-Rate Irregular LDPC Codes for Optical Communication Using Message Alignment." Applied Sciences 8, no. 10 (2018): 1884. http://dx.doi.org/10.3390/app8101884.

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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 beliefs are quantized with a small number of bits. This can result in a significant performance degradation with respect to decoding with high-precision messages. Recently, so-called information-bottleneck decoders were proposed which leverage a machine learning framework (i.e., the information bottleneck method) to design coarse-precision decoders with er
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16

Башкиров, А. В., И. В. Свиридова, Т. Д. Ижокина, Е. А. Зубкова, О. В. Свиридова, and Д. В. Васильченко. "IMPROVED MIN-SUM DECODING ALGORITHM FOR IRREGULAR LDPC CODES." ВЕСТНИК ВОРОНЕЖСКОГО ГОСУДАРСТВЕННОГО ТЕХНИЧЕСКОГО УНИВЕРСИТЕТА, no. 5 (November 19, 2021): 32–40. http://dx.doi.org/10.36622/vstu.2021.15.5.005.

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Aналитический подход к определению оптимальной функции постобработки для минимальной операции в алгоритме MIN-SUM, ранее полученный для обычных кодов проверки на четность с низкой плотностью (LDPC-коды), распространяется на нерегулярные коды LDPC. Оптимальное выражение постобработки для нестандартного случая варьируется от одного контрольного узла к другому, а также от одной итерации к следующей. Для практического использования необходимо аппроксимировать эту оптимальную функцию. В отличие от обычного случая, когда можно было бы использовать уникальную функцию постобработки на протяжении всего
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Geng, Fu Quan, Zhi Gang Huang, Xuan Jie Ning, and Mao Fan Yang. "A Joint Improved Irregular Accumulate Concatenated Tree Coding and Frequency Hopping OFDM Modulation Scheme for Wireless Networks." Advanced Materials Research 902 (February 2014): 364–69. http://dx.doi.org/10.4028/www.scientific.net/amr.902.364.

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Joint channel coding and spread spectrum modulation technologies bring to wireless networks the tremendous amount of performance improvement, the elimination, and the mitigation of interference. This paper proposes an improved design for irregular accumulate concatenated tree (IACT) codes, which can be viewed as simply precoded by an accumulator. This class of codes belongs to the special turbo-like codes, which combines the advantages of fast encoder structures of turbo codes, and the advantages of parallel high-speed belief-propagation (BP) iterative decoding algorithm of low-density parity-
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18

Wei, W., and J. Kim. "Modeling and Analysis of Chaos-based Spread Spectrum Scheme using Irregular LDPC Code and Non-Coherent 16-DCSK under Fading and Jamming." Engineering, Technology & Applied Science Research 9, no. 6 (2019): 5080–87. http://dx.doi.org/10.48084/etasr.3232.

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In chaos-based spread spectrum systems, the use of spreading code and chaotic binary sequence expands the bandwidth of the information-bearing signal but this expansion results in SNR degradation under the constraint of constant channel capacity according to Hartley-Shannon law. To compensate for this drawback, our proposed model employs an irregular low-density parity-check (LDPC) code with its iterative decoding algorithm. Coupled with this forward error correction (FEC) coding, we used non-coherent (NC) 16-ary differential chaos shift keying (16-DCSK) that additionally provides the ability
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Wei, W., and J. Kim. "Modeling and Analysis of Chaos-based Spread Spectrum Scheme using Irregular LDPC Code and Non-Coherent 16-DCSK under Fading and Jamming." Engineering, Technology & Applied Science Research 9, no. 6 (2019): 5080–87. https://doi.org/10.5281/zenodo.3566594.

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In chaos-based spread spectrum systems, the use of spreading code and chaotic binary sequence expands the bandwidth of the information-bearing signal but this expansion results in SNR degradation under the constraint of constant channel capacity according to Hartley-Shannon law. To compensate for this drawback, our proposed model employs an irregular low-density parity-check (LDPC) code with its iterative decoding algorithm. Coupled with this forward error correction (FEC) coding, we used non-coherent (NC) 16-ary differential chaos shift keying (16-DCSK) that additionally provides the ability
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20

Gupta, Ritu, Tara Singh Kamal, and Preeti Singh. "Performance of OFDM: FSO Communication System with Hybrid Channel Codes during Weak Turbulence." Journal of Computer Networks and Communications 2019 (February 7, 2019): 1–6. http://dx.doi.org/10.1155/2019/1306491.

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The performance of orthogonal frequency division multiplexing- (OFDM-) based free-space optics (FSO) depends on various parameters such as number of subcarriers, base band modulation, nature of laser beam, turbulence modelling, and much more. Various diversity techniques have been studied by researchers for the improvement of signal strength due to fading caused by atmospheric turbulence. In this paper, a novel channel coding scheme formed by serially concatenation of irregular low-density parity check (LDPC) and trellis code modulation (TCM) codes linked by interleaver is proposed. The propos
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Vasyl, Semerenko. "ON THE ERROR-CORRECTING CAPABILITIES OF ITERATIVE ERROR CORRECTION CODES." Eastern-European Journal of Enterprise Technologies 1, no. 4 (97) (2019): 31–39. https://doi.org/10.15587/1729-4061.2019.157299.

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The influence of the theory of information on development of the error correcting coding theory has been studied. Main differences between the probabilistic approach and the deterministic approach in the analysis of error-correcting capabilities of different classes of linear codes have been demonstrated. The automaton hierarchical models for analysis of permutation decoding of cyclic codes have been developed and a cyclic permutation generator based on two Moore automata has been proposed. A study has been carried out into the regular and irregular states of linear finite-state machines (LFSM
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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&rsquo;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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V., Raghavendran, Muthukumar P., and Raja Mani R. "Fault Diagnosis using Low Density Parity Check." Journal of Advancement in Electronics Design 7, no. 1 (2024): 1–10. https://doi.org/10.5281/zenodo.10460818.

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<em>The reliability of the instrument was measured using various error analyses. FPGA-based hardware can be application-specific and application-dependent. In this paper we propose a breakdown analysis based on LDPC (Low Density Parity Analysis). The C432 signaling circuit was programmed using the LDPC method to check for circuit faults. By continuously changing the register bits, the circuit is checked for errors. The performance of the signal circuit shows the efficiency of fault diagnosis based on the LDPC approach. A comparative analysis between the BCH (Bose, Chaudhuri, Hocquenghem) and t
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Ramesh, Kumar. "Low Density Parity Check for Fault Diagnosis." Journals of Advancement in Electronics Design 6, no. 1 (2023): 33–39. https://doi.org/10.5281/zenodo.11394758.

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<em>Within the dynamic environment, one of the real-time applications is a digital system design based on FPGA. The different failure diagnoses are used to gauge how reliable the devices are. Devices based on FPGAs might be application-dependent or independent. This study proposes a problem diagnosis method based on Low Density Parity Checking (LDPC). To diagnose stuck at problems in the circuit, the LDPC scheme is coded into the C432 benchmark circuit. The circuit fault is checked by the register's iterative bit shifting. The LDPC scheme-based efficient fault diagnostics is revealed by the be
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LI, YUAN, MANTAO XU, YINKUO MENG, and YING GUO. "GRAPHICAL QUANTUM LOW-DENSITY PARITY-CHECK CODES." International Journal of Modern Physics B 26, no. 20 (2012): 1250118. http://dx.doi.org/10.1142/s0217979212501184.

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Graphical approach provides a direct way to construct error correction codes. Motivated by its good properties, associating low-density parity-check (LDPC) codes, in this paper we present families of graphical quantum LDPC codes which contain no girth of four. Because of the fast algorithm of constructing for graphical codes, the proposed quantum codes have lower encoding complexity.
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Revathy, M., and R. Saravanan. "A Low-Complexity Euclidean Orthogonal LDPC Architecture for Low Power Applications." Scientific World Journal 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/327357.

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Low-density parity-check (LDPC) codes have been implemented in latest digital video broadcasting, broadband wireless access (WiMax), and fourth generation of wireless standards. In this paper, we have proposed a high efficient low-density parity-check code (LDPC) decoder architecture for low power applications. This study also considers the design and analysis of check node and variable node units and Euclidean orthogonal generator in LDPC decoder architecture. The Euclidean orthogonal generator is used to reduce the error rate of the proposed LDPC architecture, which can be incorporated betwe
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Lv, Yijie, Jiguang He, Weikai Xu, and Lin Wang. "Design of Low-Density Parity-Check Code Pair for Joint Source-Channel Coding Systems Based on Graph Theory." Entropy 25, no. 8 (2023): 1189. http://dx.doi.org/10.3390/e25081189.

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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 pair) in a joint source-channel coding (JSCC) system. Specifically, we pre-set the girth of the parity-check matrix for the LDPC code pair when jointly designing the two LDPC codes, which are constructed by following the set constraints. The constructed parity-check matrices for channel codes comprise an identity submatrix and an additional submat
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Ali Jassim, Amjad, Wael A. Hadi., and Muhanned Ismael Ibrahim Al-Firas. "Serially Concatenated Low-density Parity Check Codes as Compatible Pairs." International Journal of Engineering & Technology 7, no. 4.15 (2018): 301. http://dx.doi.org/10.14419/ijet.v7i4.15.23013.

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Low-density parity checks (LDPC) codes are considered good performance error correction codes. However, decoder complexity increases with increasing code length. In this study, we introduce short-length serially concatenated LDPC codes. The proposed technique uses pairs of compatible LDPC codes that act as outer and inner serially concatenated codes. In this code pair, the inner code takes input that is the same length as the outer LDPC encoder output. This study examined two cases of LDPC codes as compatible pairs with low numbers of iterations and compared bit error rate (BER) performance to
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Venkatesh, Divyashree Yamadur, Komala Mallikarjunaiah, and Mallikarjunaswamy Srikantaswamy. "A Comprehensive Review of Low Density Parity Check Encoder Techniques." Ingénierie des systèmes d information 27, no. 1 (2022): 11–20. http://dx.doi.org/10.18280/isi.270102.

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This paper presents a survey on various technologies of low density parity check encoder. LDPC codes are capable to handle high speed communication channel, by reducing attenuation, hazards and efficiently rectifying the linear error correction. Various coding technologies used in new generation communication system, such as turbo code, hamming code, low-density parity check (LDPC) code and Bose–Chaudhuri–Hocquenghem (BHC) code, are widely used in recent communication system. The LDPC has technical remarkable advantages and better performance in high speed communication process compared to tur
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Slimani, Djamel, and Abdellah Kaddai. "An improved method for counting 6-cycles in low-density parity-check codes." Serbian Journal of Electrical Engineering 20, no. 1 (2023): 83–91. http://dx.doi.org/10.2298/sjee2301083s.

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Since their rediscovery in the early 1990s, low-density parity-check (LDPC) codes have become the most popular error-correcting codes owing to their excellent performance. An LDPC code is a linear block code that has a sparse parity-check matrix. Cycles in this matrix, particularly short cycles, degrade the performance of such a code. Hence, several methods for counting short cycles in LDPC codes have been proposed, such as Fan?s method to detect 4-cycles, 6- cycles, 8-cycles, and 10-cycles. Unfortunately, this method fails to count all 6- cycles, i.e., ignores numerous 6-cycles, in some given
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Sułek, W. "Pipeline processing in low-density parity-check codes hardware decoder." Bulletin of the Polish Academy of Sciences: Technical Sciences 59, no. 2 (2011): 149–55. http://dx.doi.org/10.2478/v10175-011-0019-9.

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Pipeline processing in low-density parity-check codes hardware decoderLow-Density Parity-Check (LDPC) codes are one of the best known error correcting coding methods. This article concerns the hardware iterative decoder for a subclass of LDPC codes that are implementation oriented, known also as Architecture Aware LDPC. The decoder has been implemented in a form of synthesizable VHDL description. To achieve high clock frequency of the decoder hardware implementation - and in consequence high data-throughput, a large number of pipeline registers has been used in the processing chain. However, t
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Rajangam, Balamurugan, Manjunathan Alagarsamy, Chirakkal Rathish Radhakrishnan, et al. "Security-based low-density parity check encoder for 5G communication." Bulletin of Electrical Engineering and Informatics 13, no. 4 (2024): 2707–15. http://dx.doi.org/10.11591/eei.v13i4.7019.

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The fifth generation (5G) of mobile telecommunication standards is intended to offer better performance and efficiency. One of the most significant difficulties in delivering safe data transfer through the transmission channel in the emerging 5G technology is channel-coding security. This research primarily focused on offering information transmission that is secure in the place of novel assaults such as side-channel attacks. In this research, we present a low-density parity check (LDPC) encoder that is constructed using the multiplicative masking method to overcome side-channel attacks, one o
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Khittiwitchayakul, Sirawit, Watid Phakphisut, and Pornchai Supnithi. "Associated Sectors of Magnetic Recording Systems Using Spatially Coupled LDPC Codes." ECTI Transactions on Electrical Engineering, Electronics, and Communications 20, no. 1 (2022): 10–21. http://dx.doi.org/10.37936/ecti-eec.2022201.246094.

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In traditional magnetic recording systems, non-associated sectors are mainly adopted, whereby two consecutive sectors are decoded independently by the low-density parity-check (LDPC) codes. In this paper, we propose a magnetic recording system with associated sectors, constructed using spatially coupled low-density parity-check (SC-LDPC) codes. If the SC-LDPC decoder cannot correct the erroneous bits in the current sector, it can request information stored in previous sectors to improve decoding performance. Moreover, we modify protograph-based extrinsic information transfer (P-EXIT) charts to
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Suresh Kumar, S., and M. Rajaram. "On Analyzing LDPC Codes over Multiantenna MC-CDMA System." Mathematical Problems in Engineering 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/652527.

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Multiantenna multicarrier code-division multiple access (MC-CDMA) technique has been attracting much attention for designing future broadband wireless systems. In addition, low-density parity-check (LDPC) code, a promising near-optimal error correction code, is also being widely considered in next generation communication systems. In this paper, we propose a simple method to construct a regular quasicyclic low-density parity-check (QC-LDPC) code to improve the transmission performance over the precoded MC-CDMA system with limited feedback. Simulation results show that the coding gain of the pr
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35

Yashika Gaidhani, Tejaswini Panse, Monica Kalbande,. "A Quasi-Cyclic LDPC Based Low Complexity and Area-Efficient Communication System for IEEE 802.11n." Journal of Electrical Systems 20, no. 2s (2024): 950–58. http://dx.doi.org/10.52783/jes.1742.

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Low-density parity-check (LDPC) code, which has an excellent error-correcting performance that is close to the Shannon limit, is the most often used error correction code (ECC) for reliable and effective communication. Despite higher performance and lower decoding complexity, the main disadvantage of LDPC codes is their high encoding complexity. A significant problem is the VLSI implementation of the LDPC encoder and decoder. In this paper, structured LDPC codes—also known as quasi-cyclic low-density parity check codes—have been used since it is good bit error ratio (BER) performance and adapt
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36

P, Dhivya Lakshmi. "CONSTRUCTING LOW-DENSITY PARITY-CHECK CODES IN DIGITAL COMMUNICATION SYSTEM." ICTACT Journal on Communication Technology 11, no. 2 (2020): 2198–202. https://doi.org/10.21917/ijct.2020.0325.

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In data communications, errors occur when the data travels through different communication channels. Their errors have to be reduced to obtain efficient Bit Error rate (BER). Over unreliable or noisy communication channels, errors in data can be controlled effectively using Error-correcting Code (ECC). NI USRP (National Instruments Universal Software Radio Hardware) 2954R support 5G with multiradio cooperation using Multiple- Input, Multiple Output (MIMO) techniques. The frequency of NI USRP 2954R ranges from 10 MHz to 6GHz with 160MHz bandwidth. In a software radio by mean of software upgrade
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37

Xu, Hua. "Image Transmission Based on QC-LDPC Codes with Simple Recursive Encoding Form." Applied Mechanics and Materials 602-605 (August 2014): 3223–27. http://dx.doi.org/10.4028/www.scientific.net/amm.602-605.3223.

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Low encoding delay and complexity is very important for image transmission. This paper proposes a novel image transmission scheme with low encoding complexity. The proposed scheme is based on quasi-cyclic low density parity check (QC-LDPC) codes with a simple recursive encoding form (SREF QC-LDPC code) which results in low encoding complexity and delay. Constructing the SREF QC-LDPC codes in this scheme composes of two main steps, construction of the base matrix and the exponent matrix. We combine the differential evolution and protograph extrinsic information transfer (PEXIT) method to optimi
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38

Swapnil, B. Dheple. "ANALYSIS OF REDUCED DECODING COMPLEXITY OF LOW DENSITY PARITY CHECK DECODER." International Journal of Advances in Engineering & Scientific Research 5, no. 1 (2018): 16–21. https://doi.org/10.5281/zenodo.10776884.

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<strong>ABSTRACT</strong> &nbsp; <em>The approach of this paper to reduce decoding complexity of Low density parity check decoder(LDPC). For that technique uses high precision soft messages at the variable node and put down the message length, due to this number of interconnection between check node and variable node will reduce. For the designing and simulation purposes LDPC uses min-sum algorithm. In min-sum algorithm quite increment in complexity so modified min-sum&nbsp; algorithm is use to reduce decoding complexity. A design model of this decoder uses for long distance communication appl
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39

Nur Asfarina Idrus, Azlina Idris, Nur Idora Abdul Razak, Idris Taib, and Lusy Tunik Muharlisiani. "Huffrith Algorithm with Quasi Cyclic Low Density Parity Check in NOMA Systems." Journal of Advanced Research in Applied Sciences and Engineering Technology 38, no. 1 (2024): 1–11. http://dx.doi.org/10.37934/araset.38.1.111.

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In this paper, the high-rate Quasi-Cyclic Low-Density Parity -Check (QC-LDPC) as an error correction code is contributed for Non-orthogonal Multiple Access (NOMA) systems with high-frequency spectrum efficiency. High PAPR will affect the signal degradation and all the methods applied in the NOMA system are solving the problem of scarce time or frequency domain resources. The objectives of this paper are achieved by reducing the PAPR using Huffrith algorithms with QC-LDPC in the NOMA system. Huffrith algorithm combined with QC-LDPC to reduce the peak-to-peak average ratio in the 6G network. Thi
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Al-Haddad, Mohammed Kasim Mohammed. "Encoding of QC-LDPC Codes of Rank Deficient Parity Matrix." Journal of Engineering 22, no. 5 (2016): 89–107. http://dx.doi.org/10.31026/j.eng.2016.05.07.

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The encoding of long low density parity check (LDPC) codes presents a challenge compared to its decoding. The Quasi Cyclic (QC) LDPC codes offer the advantage for reducing the complexity for both encoding and decoding due to its QC structure. Most QC-LDPC codes have rank deficient parity matrix and this introduces extra complexity over the codes with full rank parity matrix. In this paper an encoding scheme of QC-LDPC codes is presented that is suitable for codes with full rank parity matrix and rank deficient parity matrx. The extra effort required by the codes with rank deficient parity matr
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Mishra, Rajarshini. "Design of Quasi-Cyclic Low Density Parity Check Decoder Using Optimized Min-Sum Algorithm." International Journal Of Engineering And Computer Science 7, no. 03 (2018): 23781–84. http://dx.doi.org/10.18535//ijecs/v7i3.21.

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Low-density parity-check (LDPC) have been shown to have good error correcting performance approaching Shannon’s limit. Good error correcting performance enables efficient and reliable communication. However, a LDPC code decoding algorithm needs to be executed efficiently to meet cost , time, power and bandwidth requirements of target applications.&#x0D; Quasi-cyclic low-density parity-check (QC-LDPC) codes are an important subclass of LDPC codes that are known as one of the most effective error controlling methods. Quasi cyclic codes are known to possess some degree of regularity. Many importa
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Liu, Fu Xiang, Liu Min Wang, Feng Zhang, and Xiao Mei Xu. "The Study of Induction Setter Based on Low Density Parity Check Coding Method." Applied Mechanics and Materials 397-400 (September 2013): 1010–15. http://dx.doi.org/10.4028/www.scientific.net/amm.397-400.1010.

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In order to improve anti-jamming capability and transmission efficiency of the inductive setter, a structured approach to construct several low density parity check(LDPC) codes is used in this paper. The LDPC codes have different error-correcting capability, and can timely correct BER which are generated during the transmission of channel. The simulation analysis show that the LDPC codes can effectively avoid retransmission of the codeword, and raise the Induction Setter anti-jamming capability and transmission efficiency. The method of LDPC codes used in the inductive setting can ensure the c
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43

Mao, Yun, Ying Guo, Jun Peng, Xueqin Jiang, and Moon Ho Lee. "Double-Layer Low-Density Parity-Check Codes over Multiple-Input Multiple-Output Channels." International Journal of Antennas and Propagation 2012 (2012): 1–6. http://dx.doi.org/10.1155/2012/716313.

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We introduce a double-layer code based on the combination of a low-density parity-check (LDPC) code with the multiple-input multiple-output (MIMO) system, where the decoding can be done in both inner-iteration and outer-iteration manners. The present code, called low-density MIMO code (LDMC), has a double-layer structure, that is, one layer defines subcodes that are embedded in each transmission vector and another glues these subcodes together. It supports inner iterations inside the LDPC decoder and outeriterations between detectors and decoders, simultaneously. It can also achieve the desire
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El habti El idrissi, Anas, Rachid El Gouri, and Hlou Laamari. "Conception of a new LDPC decoder with hardware implementation on FPGA card." International Journal of Engineering & Technology 3, no. 4 (2014): 451. http://dx.doi.org/10.14419/ijet.v3i4.3185.

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Low Density Parity-Check codes are one of the hottest topics in coding theory nowadays. Equipped with very fast encoding and decoding algorithms, LDPC codes are very attractive both theoretically and practically. In this paper, A simplified algorithm for decoding Low-Density Parity-Check (LDPC) codes is proposed with a view to reduce the implementation complexity, this algorithm is based on a simple matrix equation which must be resolved in order to calculate all possible solutions of this equation, and then a simple circuit will be used to determine the errors produced during the transmission
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El Ouakili, Hajar, Mohammed El Ghzaoui, and Rachid El Alami. "Optimized decoder for low-density parity check codes based on genetic algorithms." International Journal of Electrical and Computer Engineering (IJECE) 14, no. 3 (2024): 2717. http://dx.doi.org/10.11591/ijece.v14i3.pp2717-2724.

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Low-density parity check (LDPC) codes, are a family of error-correcting codes, their performances close to the Shannon limit make them very attractive solutions for digital communication systems. There are several algorithms for decoding LDPC codes that show great diversity in terms of performance related to error correction. Also, very recently, many research papers involved the genetic algorithm (GA) in coding theory, in particular, in the decoding linear block codes case, which has heavily contributed to reducing the bit error rate (BER). In this paper, an efficient method based on the GA i
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Hajar, El Ouakili, El Ghzaoui Mohammed, and El Alami Rachid. "Optimized decoder for low-density parity check codes based on genetic algorithms." International Journal of Electrical and Computer Engineering (IJECE) 14, no. 3 (2024): 2717–24. https://doi.org/10.11591/ijece.v14i3.pp2717-2724.

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Low-density parity check (LDPC) codes, are a family of error-correcting&nbsp;codes, their performances close to the Shannon limit make them very&nbsp;attractive solutions for digital communication systems. There are several&nbsp;algorithms for decoding LDPC codes that show great diversity in terms of&nbsp;performance related to error correction. Also, very recently, many research&nbsp;papers involved the genetic algorithm (GA) in coding theory, in particular,&nbsp;in the decoding linear block codes case, which has heavily contributed toreducing the bit error rate (BER). In this paper, an effic
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47

Amine Tehami, Mohammed, and Ali Djebbari. "Low Density Parity Check Codes Constructed from Hankel Matrices." Journal of Telecommunications and Information Technology 3 (September 28, 2018): 37–41. http://dx.doi.org/10.26636/jtit.2018.121717.

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In this paper, a new technique for constructing low density parity check codes based on the Hankel matrix and circulant permutation matrices is proposed. The new codes are exempt of any cycle of length 4. To ensure that parity check bits can be recursively calculated with linear computational complexity, a dual-diagonal structure is applied to the parity check matrices of those codes. The proposed codes provide a very low encoding complexity and reduce the stored memory of the matrix H in which this matrix can be easily implemented comparing to others codes used in channel coding. The new LDPC
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48

Et. al., Mrs Channaveeramma E. ,. "Performance Comparison of Turbo coder and low-density parity check codes." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 10 (2021): 5898–901. http://dx.doi.org/10.17762/turcomat.v12i10.5408.

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Wireless communication systems will suffer from the noise introduced in the channels. Channel codes are the essential part of wireless communication systems which help in detection and correction of errors due to the noise introduced in the channel. Turbo codes and LDPC codes are the Forward Error Correction (FEC) channel coding techniques which have the error correcting capability near to Shannon codes along with improvement in transmission rate and energy efficiency.Turbo codes were introduced in 1993[1]. LDPC codes were discovered in 1960 by R.Galleger in his Ph.D dissertation at MIT.They b
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Cummins, Andrew D., David G. M. Mitchell, and Erik Perrins. "Rate-Compatible, Bandwidth-Efficient, Low-Density Parity-Check (LDPC) Codes for Aeronautical Telemetry." Entropy 26, no. 12 (2024): 1045. https://doi.org/10.3390/e26121045.

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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 been proposed and optimized for continuous phase modulations (CPMs), including pulse code modulation/frequency modulation (PCM/FM) and the multi-h CPM developed by the Advanced-Range TeleMetry program (ARTM CPM), the latter of which was shown to perform around one dB from channel capacity. In this paper, we consider the effect of the random puncturing
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50

Hu, Dan. "The Research of LDPC Code in Communication System." Advanced Materials Research 532-533 (June 2012): 1135–39. http://dx.doi.org/10.4028/www.scientific.net/amr.532-533.1135.

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Low-Density Parity-Check(LDPC) codes are a class of channel codes based on matrix encoding and iterative decoding. It has low decoding complexity as well as capacity approaching performance. Until now, the best designed LDPC codes can achieve the performance within only 0.0045dB of the Shannon limit. With the in-depth study, the encoding complexity of LDPC codes is not a difficult problem for application any more. Today, we can see LDPC codes widely used in many practical systems, such as wireless communication system, deep-space communication system, optical-fiber communication system and med
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