On the Nested Family of LDPC Codes Based on Golomb Rulers

Fedor I. Ivanov, Pavel S. Rybin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper we present a new ensemble of Low- Density Parity-Check codes (LDPC Codes) based on modular Golomb rulers and permutation matrices. We suggest a designing rule for these codes that allows obtaining a nested family of LDPC codes with wide range of rates from one matrix of lowest rate code. Moreover, the regular way that we apply to construct our codes allows describing parity-check matrices with minimal number of parameters. The simulation results in the case of transmission via AWGN channel with QAM-4 modulation are presented.

Original languageEnglish
Title of host publicationProceedings - 2017 4th International Conference on Engineering and Telecommunication, En and T 2017
EditorsZulfira Suroegina, Elena Pavlyukova, Lyudmila Uzhinskaya
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages67-71
Number of pages5
ISBN (Electronic)9781538645475
DOIs
Publication statusPublished - 27 Dec 2017
Externally publishedYes
Event4th International Conference on Engineering and Telecommunication, En and T 2017 - Moscow, Russian Federation
Duration: 29 Nov 201730 Nov 2017

Publication series

NameProceedings - 2017 4th International Conference on Engineering and Telecommunication, En and T 2017
Volume2017-January

Conference

Conference4th International Conference on Engineering and Telecommunication, En and T 2017
Country/TerritoryRussian Federation
CityMoscow
Period29/11/1730/11/17

Keywords

  • Code construction
  • Golomb rulers
  • LDPC code
  • Low-density parity-check code
  • Nested codes

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