Quasi-cyclic LDPC codes with parity-check matrices of column weight two or more for correcting phased bursts of erasures

X Xiao, B Vasić, S Lin, J Li… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In his pioneering work on LDPC codes, Gallager dismissed codes with parity-check matrices
of weight two after proving that their minimum Hamming distances grow at most …

Time-invariant quasi-cyclic spatially coupled LDPC codes based on packings

M Zhang, Z Wang, Q Huang… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
This paper presents two packings derived from balanced incomplete block designs to
construct quasi-cyclic spatially coupled LDPC convolutional codes (SC-LDPC-CCs). The …

Approaching capacity of large MIMO systems by non-binary LDPC codes and MMSE detection

P Suthisopapan, K Kasai, V Imtawil… - … on Information Theory …, 2012 - ieeexplore.ieee.org
In this paper, we have investigated the application of non-binary LDPC codes to spatial
multiplexing MIMO systems with a large number of low power antennas. We demonstrate …

Construction of high-performance array-based non-binary LDPC codes with moderate rates

S Zhao, X Ma - IEEE Communications letters, 2015 - ieeexplore.ieee.org
Based on arrays, excellent low-density parity-check (LDPC) codes with high rates have
been constructed. In this letter, we propose to construct high-performance nonbinary LDPC …

Tanner Quasi-Cyclic LDPC Codes: Girth Analysis and Derived Codes

H Xu, H Li, B Bai, M Zhu, B Zhang - IEEE Access, 2018 - ieeexplore.ieee.org
Girth plays an important role in the design of low-density parity-check (LDPC) codes.
Motivated by the works on the girth of some classes of Tanner quasi-cyclic (QC) LDPC …

Several explicit constructions for (3, L) QC-LDPC codes with girth at least eight

G Zhang, R Sun, X Wang - IEEE communications letters, 2013 - ieeexplore.ieee.org
Some explicit constructions for exponent matrices which correspond to Tanner graphs with
girth at least eight are proposed. From these results, for any row weight of L> 3,(3, L) quasi …

[PDF][PDF] 准循环多进制LDPC 码构造

杨民, 张文彦, 钟杰, 吴杰 - 电子与信息学报, 2013 - edit.jeit.ac.cn
该文研究准循环多进制LDPC 码的构造, 给出多进制LDPC 码的设计流程和构造方法.
详细讨论了多进制LDPC 码的性能影响因素, 综合考虑了环长和环的连通性对性能的影响 …

Performance of Hybrid RF/FSO Cooperative Systems Based on Quasicyclic LDPC Codes and Space‐Coupled LDPC Codes

I Gueye, I Dioum, I Diop, KW Keita… - Wireless …, 2020 - Wiley Online Library
Free space optical (FSO) communication systems provide wireless line of sight connectivity
in the unlicensed spectrum, and wireless optical communication achieves higher data rates …

Nonbinary LDPC codes on cages: Structural property and code optimization

C Chen, B Bai, G Shi, X Wang… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
A (v, g)-cage is a (not necessarily unique) smallest v-regular graph of girth g. On such a
graph, a nonbinary (2, v)-regular low-density parity-check (LDPC) code can be defined such …

4-cycle free LDPC codes based on difference sets

M Esmaeili, M Javedankherad - IEEE transactions on …, 2012 - ieeexplore.ieee.org
Difference sets are used to give a novel method for constructing structured regular quasi-
cyclic low-density parity-check codes. Let F q be a field with q elements and assume that …