On the Design of Block Lengths for Irregular LDPC Codes Based on the Maximum Variable Degree

  • 정규혁 (단국대학교 공과대학 컴퓨터학부 컴퓨터공학)
  • Received : 2010.09.01
  • Accepted : 2010.10.15
  • Published : 2010.11.30

Abstract

This paper presents the design of block lengths for irregular low-density parity-check (LDPC) codes based on the maximum variable degree $d_{{\upsilon},max}$. To design a block length, the performance degradation of belief-propagation (BP) decoding performance from upper bounds on the maximum likelihood (ML) decoding performance is used as an important factor. Since for large block lengths, the performance of irregular LDPC codes is very close to the Shannon limit, we focus on moderate block lengths ($5{\times}10^2\;{\leq}\;N\;{\leq}\;4{\times}10^3$). Given degree distributions, the purpose of our paper is to find proper block lengths based on the maximum variable degree $d_{{\upsilon},max}$. We also present some simulation results which show how a block length can be optimized.

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References

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