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Design and Performance of Low-Density Parity-Check Codes for Noisy Channels with Synchronization Errors

Ryo SHIBATA, Hiroyuki YASHIMA

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Summary :

In this letter, we study low-density parity-check (LDPC) codes for noisy channels with insertion and deletion (ID) errors. We first propose a design method of irregular LDPC codes for such channels, which can be used to simultaneously obtain degree distributions for different noise levels. We then show the asymptotic/finite-length decoding performances of designed codes and compare them with the symmetric information rates of cascaded ID-noisy channels. Moreover, we examine the relationship between decoding performance and a code structure of irregular LDPC codes.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.1 pp.63-67
Publication Date
2022/01/01
Publicized
2021/07/14
Online ISSN
1745-1337
DOI
10.1587/transfun.2021EAL2013
Type of Manuscript
LETTER
Category
Coding Theory

Authors

Ryo SHIBATA
  Tokyo University of Science
Hiroyuki YASHIMA
  Tokyo University of Science

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