Design of LDPC codes: A survey and new results

G Liva, S Song, L Lan, Y Zhang, S Lin… - … Software and Systems, 2006 - hrcak.srce.hr
Sažetak This survey paper provides fundamentals in the design of LDPC codes. To provide
a target for the code designer, we first summarize the EXIT chart technique for determining …

Spherical and Hyperbolic Toric Topology-Based Codes On Graph Embedding for Ising MRF Models: Classical and Quantum Topology Machine Learning

V Usatyuk, S Egorov, D Sapozhnikov - arXiv preprint arXiv:2307.15778, 2023 - arxiv.org
The paper introduces the application of information geometry to describe the ground states
of Ising models. This is achieved by utilizing parity-check matrices of cyclic and quasi-cyclic …

Channel coding for future space missions: New requirements and trends

GP Calzolari, M Chiani, F Chiaraluce… - Proceedings of the …, 2007 - ieeexplore.ieee.org
Future space missions will put severe constraints on communication links in terms of data
rates, bandwidth occupancy, complexity, and performance. The requirements imposed by …

Construction of near-optimum burst erasure correcting low-density parity-check codes

E Paolini, M Chiani - IEEE transactions on communications, 2009 - ieeexplore.ieee.org
In this paper, a simple and effective tool for the design of low-density parity-check (LDPC)
codes for iterative correction of bursts of erasures is presented. The design method consists …

A new ensemble of rate-compatible LDPC codes

K Zhang, X Ma, S Zhao, B Bai… - 2012 IEEE International …, 2012 - ieeexplore.ieee.org
In this paper, we presented three approaches to improve the design of Kite codes (newly
proposed rateless codes), resulting in an ensemble of rate-compatible LDPC codes with …

Generalized IRA erasure correcting codes for hybrid iterative/maximum likelihood decoding

E Paolini, G Liva, B Matuz… - IEEE Communications …, 2008 - ieeexplore.ieee.org
The design of low-density parity-check (LDPC) codes under hybrid iterative/maximum
likelihood decoding is addressed for the binary erasure channel (BEC). Specifically, we …

Design of efficient joint eIRA-coded MSK modulation systems for space communications

J Bao, Y Zhan, L Yin, J Lu - IEEE Transactions on Aerospace …, 2012 - ieeexplore.ieee.org
An efficient scheme of extended irregular repeat-accumulate (eIRA-) coded minimum shift
keying (MSK) is presented. Based on an extrinsic information transfer (EXIT) chart, it is …

Low-complexity LDPC codes with near-optimum performance over the BEC

E Paolini, M Varrella, M Chiani… - 2008 4th Advanced …, 2008 - ieeexplore.ieee.org
Recent works showed how low-density parity-check (LDPC) erasure correcting codes, under
maximum likelihood (ML) decoding, are capable of tightly approaching the performance of …

New combinatorial construction techniques for low-density parity-check codes and systematic repeat-accumulate codes

A Gruner, M Huber - IEEE transactions on communications, 2012 - ieeexplore.ieee.org
This paper presents several new construction techniques for low-density parity-check
(LDPC) and systematic repeat-accumulate (RA) codes. Based on specific classes of …

A class of irregular LDPC codes with low error floor and low encoding complexity

Z He, P Fortier, S Roy - IEEE communications letters, 2006 - ieeexplore.ieee.org
In this letter, we propose a class of irregular structured low-density parity-check (LDPC)
codes with low error floor and low encoding complexity by designing the parity check matrix …