Original scientific paper

https://doi.org/10.24138/jcomss-2020-0009

Performance Study of a Class of Irregular Near Capacity Achieving LDPC Codes

Francesca Vatta ; DIA, University of Trieste, Trieste, Italy
Alessandro Soranzo ; DMG, University of Trieste, Trieste, Italy
Massimiliano Comisso ; DIA, University of Trieste, Trieste, Italy
Giulia Buttazzoni ; DIA, University of Trieste, Trieste, Italy
Fulvio Babich ; DIA, University of Trieste, Trieste, Italy

Abstract

This paper investigates the performance of a class of irregular low-density parity-check (LDPC) codes through a recently published low complexity upper bound on their belief propagation decoding thresholds. Moreover, their performance analysis is carried out through a recently published algorithmic method, presented in Babich et al. 2017 paper. In particular, the class considered is characterized by variable node degree distributions \(\lambda(x)\) of minimum degree \(i_1 \gt 2\): being, in this case, \(\lambda^{'} (0)=\lambda_2=0\), this is useful to design LDPC codes presenting a linear minimum distance growth with the block length with probability 1, as shown in Di et al.’s 2006 paper. These codes unfortunately cannot reach capacity under iterative decoding, since the achievement of capacity requires \(\lambda_2 \neq 0\). However, in this latter case, the block error probability might converge to a constant, as shown in the aforementioned paper.

Keywords

Hrčak ID:

254940

URI

https://hrcak.srce.hr/254940

Publication date:

31.3.2021.

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