Optimal search for girth-8 quasi cyclic and spatially coupled multiple-edge LDPC codes

MR Sadeghi - IEEE Communications Letters, 2019 - ieeexplore.ieee.org
Two essential categories of LDPC codes that are more preferable to other types are quasi-
cyclic LDPC (QC-LDPC) codes and spatially coupled LDPC convolutional codes (SC-LDPC …

Edge-coloring technique to analyze elementary trapping sets of spatially-coupled LDPC convolutional codes

MR Sadeghi, F Amirzade - IEEE Communications Letters, 2019 - ieeexplore.ieee.org
In this letter, for the first time, an edge-coloring technique is proposed to characterize a
certain elementary trapping set (ETS) and to obtain sufficient conditions to avoid small ETSs …

Multi-dimensional spatially-coupled code design: Enhancing the cycle properties

H Esfahanizadeh, L Tauz… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
A circulant-permutation-based spatially-coupled (SC) code is constructed by partitioning the
circulant permutation matrices (CPMs) in the parity-check matrix of a block code into several …

Girth analysis and design of periodically time-varying SC-LDPC codes

M Battaglioni, F Chiaraluce, M Baldi… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Time-varying spatially coupled low-density parity-check (SC-LDPC) codes with very large
period are characterized by significantly better error rate performance and girth properties …

Girth properties of time-varying SC-LDPC convolutional codes

M Battaglioni, M Baldi, F Chiaraluce… - … on Information Theory …, 2019 - ieeexplore.ieee.org
Time-varying spatially-coupled low-density parity-check convolutional codes (SC-LDPC-
CCs) exhibit excellent features, but their representation requires a very large number of …

Construction of protograph-based LDPC codes with chordless short cycles

F Amirzade, MR Sadeghi… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
There is a concept in graph theory known as a chord which has not been considered before
in relation to trapping sets of Tanner graphs. A chord of a cycle is an edge outside the cycle …

Efficient search and elimination of harmful objects for the optimization of QC-SC-LDPC codes

M Battaglioni, F Chiaraluce, M Baldi… - 2019 IEEE Global …, 2019 - ieeexplore.ieee.org
The error correction performance of low-density parity-check codes under iterative message-
passing decoding is degraded by the presence of certain harmful objects existing in their …

Efficient search and elimination of harmful objects in optimized QC SC-LDPC codes

M Battaglioni, F Chiaraluce, M Baldi… - arXiv preprint arXiv …, 2019 - arxiv.org
The error correction performance of low-density parity-check (LDPC) codes under iterative
message-passing decoding is degraded by the presence of certain harmful objects existing …

Protograph-based LDPC codes with chordless short cycles and large minimum distance

F Amirzade, MR Sadeghi… - 2022 17th Canadian …, 2022 - ieeexplore.ieee.org
Controlling small size trapping sets and short cycles can result in LDPC codes with large
minimum distance d_\min. We prove that short cycles with a chord are the root of several …

On finding bipartite graphs with a small number of short cycles and large girth

A Dehghan, AH Banihashemi - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
The problem of finding bipartite (Tanner) graphs with given degree sequences that have
large girth and few short cycles is of great interest in many applications including …