Rate-Compatible, Bandwidth-Efficient, Low-Density Parity-Check (LDPC) Codes for Aeronautical Telemetry. [PDF]
Entropy (Basel)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 ...
Cummins AD, Mitchell DGM, Perrins E.
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Design of Low-Density Parity-Check Code Pair for Joint Source-Channel Coding Systems Based on Graph Theory [PDF]
Entropy, 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 ...
Yijie Lv +3 more
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LDPC Codes on Balanced Incomplete Block Designs: Construction, Girth, and Cycle Structure Analysis [PDF]
EntropyIn this paper, we investigate the cycle structure inherent in the Tanner graphs of low-density parity-check (LDPC) codes constructed from balanced incomplete block designs (BIBDs).
Hengzhou Xu +4 more
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ON THE CLASS OF ARRAY-BASED APM-LDPC CODES [PDF]
Journal of Algebraic Systems, 2021 We construct an explicit class of affine permutation matrix low-density parity-check (APM-LDPC) codes based on the array parity-check matrix by using two affine maps f (x) = x-1 and g(x) = 2x-1 on Z_m, where m is an odd prime number, with girth 6 and ...
A. Nassaj, A. R. Naghipour
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An improved method for counting 6-cycles in low-density parity-check codes [PDF]
Serbian Journal of Electrical Engineering, 2023 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.
Slimani Djamel, Kaddai Abdellah
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Ldpc Code Construction using Randomly Permutated Copies of Parity Check Matrix [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2018 A construction technique is proposed for low-density parity check (LDPC) codes. It uses a base parity check matrix designed from a ran-dom or constructed construction method as Gallager or Quasi-Cyclic LDPC (QC-LDPC) codes in sequence to get codes with ...
Amr lulu, Ammar Abu-Hudrouss
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Evaluation of Low Density Parity Check Codes Over Various Channel Types [PDF]
Engineering and Technology Journal, 2011 Low density parity check (LDPC) codes are one of the best error correcting codes in today’s coding world and are known to approach the Shannon limit. As with all other channel coding schemes, LDPC codes add redundancy to the uncoded input data to make it
Mahmood Farhan Mosleh
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4-CYCLE FREE APM LDPC CODES WITH AN EXPLICIT CONSTRUCTION [PDF]
Journal of Algebraic Systems, 2021 Recently, a class of low-density parity-check codes based on affine permutation matrices, called APM-LDPC codes, have been considered which have some advantages than quasi-cyclic (QC) LDPC codes in terms of minimum-distance, cycle distribution, and error-
Z. Gholami, M. Gholami
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On the Stopping Distance of SA-LDPC Codes by Transversal Designs
IEEE Access, 2018 In this paper, we analyze the size of the smallest stopping set (called the stopping distance) for the parity-check matrix of a superposed array low-density parity-check (SA-LDPC) code for column weights 3 and 4 by using the transversal design (TD ...
Zahra Ferdosi +2 more
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New Construction of Low-Density Parity-Check Codes Based on Vector Space Over Finite Fields
IEEE Access, 2020 Low-Density Parity-Check (LDPC) codes have low linear decoding complexity, which is a kind of good codes with excellent performance. Therefore, LDPC codes have great research value.
Xuemei Liu, Lihua Jia
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