Non-binary protograph-based LDPC codes: Enumerators, analysis, and designs

L Dolecek, D Divsalar, Y Sun… - IEEE transactions on …, 2014 - ieeexplore.ieee.org
This paper provides a comprehensive analysis of nonbinary low-density parity check
(LDPC) codes built out of protographs. We consider both random and constrained edge …

Performance Comparison of LDPC Block and Spatially Coupled Codes Over GF

K Huang, DGM Mitchell, L Wei, X Ma… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
In this paper, we compare the finite-length performance of protograph-based spatially
coupled low-density paritycheck (SC-LDPC) codes and LDPC block codes (LDPC-BCs) …

A matrix-theoretic approach to the construction of non-binary quasi-cyclic LDPC codes

J Li, K Liu, S Lin, K Abdel-Ghaffar - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
This paper presents two simple and very flexible methods for constructing non-binary (NB)
quasi-cyclic (QC) LDPC codes. The proposed construction methods have several known …

A serial concatenation-based coding scheme for dimmable visible light communication systems

S Zhao - IEEE Communications Letters, 2016 - ieeexplore.ieee.org
Dimming control is desirable for visible light communication (VLC) systems to provide
different levels of brightness. In this letter, we propose a new coding scheme for dimmable …

A scheme for collective encoding and iterative soft-decision decoding of cyclic codes of prime lengths: Applications to Reed–Solomon, BCH, and quadratic residue …

S Lin, K Abdel-Ghaffar, J Li, K Liu - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
A novel scheme is presented for encoding and iterative soft-decision decoding of cyclic
codes of prime lengths. The encoding of a cyclic code of a prime length is performed on a …

Low-complexity high-performance low-density parity-check encoder design for China digital radio standard

D Chen, P Chen, Y Fang - IEEE Access, 2017 - ieeexplore.ieee.org
This paper proposes a novel encoder architecture of low-density parity-check (LDPC)
generator matrix in frequency modulation-China digital radio (CDR), which was promulgated …

Set message-passing decoding algorithms for regular non-binary LDPC codes

Q Huang, L Song, Z Wang - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In the check node (CN) update of non-binary message-passing algorithms, each element of
reliability vectors takes the same computational complexity. However, our analysis indicates …

A variant of the EMS decoding algorithm for nonbinary LDPC codes

S Zhao, Z Lu, X Ma, B Bai - IEEE communications letters, 2013 - ieeexplore.ieee.org
This letter is concerned with low-complexity decoding algorithms for nonbinary low-density
parity-check (NB-LDPC) codes. A new truncation rule based on an adaptive threshold μ is …

Superposition Construction of -Ary LDPC Codes by Jointly Optimizing Girth and Number of Shortest Cycles

H Xu, B Bai - IEEE Communications Letters, 2016 - ieeexplore.ieee.org
In this letter, we consider the construction of q-ary low-density parity-check (LDPC) codes by
jointly optimizing the girth and number of shortest cycles in the frame of superposition. We …

Multiuser Transmission via Spatially-Coupled Non-Binary Factor Graphs

X Sui, Z Si, J Dai - IEEE Transactions on Communications, 2024 - ieeexplore.ieee.org
Toward next-generation multiple access, we propose a multiuser transmission framework
via non-binary factor graphs defined over Galois field GF (q). The non-orthogonal multiuser …