<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The analytical description of regular LDPC (Low-Density Parity Check) codes correcting ability has been investigated. The statistical dependencies for the maximum number of corrected bits per the code word as a function of LDPC code word length and code rate are given based on multiple experimental analyses of LDPC check matrices. The analytical expressions are proposed for the cases of linear, exponential and polynomial approximations of given results. The most exact analytical formula is proved by criterion of the minimum divergence between the experimental and theoretical results.</p></abstract>

The analytical description of regular LDPC (Low-Density Parity Check) codes correcting ability has been investigated. The statistical dependencies for the maximum number of corrected bits per the code word as a function of LDPC code word length and code rate are given based on multiple experimental analyses of LDPC check matrices. The analytical expressions are proposed for the cases of linear, exponential and polynomial approximations of given results. The most exact analytical formula is proved by criterion of the minimum divergence between the experimental and theoretical results.

The Analytical Description of Regular LDPC Codes Correcting Ability

Institute of Telecommunication Systems National Technical University of Ukraine “Kyiv Polytechnic Institute” Kyiv, Industrialny Street, 2, Ukraine, 03057

Transport and Telecommunication Journal

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

{"article-title":"The Analytical Description of Regular LDPC Codes Correcting Ability"}

The analytical description of regular LDPC (Low-Density Parity Check) codes correcting ability has been investigated. The statistical dependencies for the...

The Analytical Description of Regular LDPC Codes Correcting Ability

Publié en ligne: 21 juin 2014

Pages: 177 - 184

DOI: https://doi.org/10.2478/ttj-2014-0015

© Transport and Telecommunication Journal Institute

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.