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A Fast Convergence Density Evolution Algorithm for Optimal Rate LDPC Codes in BEC

Information Theory 2014-09-18 v1 math.IT

Abstract

We derive a new fast convergent Density Evolution algorithm for finding optimal rate Low-Density Parity-Check (LDPC) codes used over the binary erasure channel (BEC). The fast convergence property comes from the modified Density Evolution (DE), a numerical method for analyzing the behavior of iterative decoding convergence of a LDPC code. We have used the method of [16] for designing of a LDPC code with optimal rate. This has been done for a given parity check node degree distribution, erasure probability and specified DE constraint. The fast behavior of DE and found optimal rate with this method compare with the previous DE constraint.

Keywords

Cite

@article{arxiv.1409.4760,
  title  = {A Fast Convergence Density Evolution Algorithm for Optimal Rate LDPC Codes in BEC},
  author = {Hassan Tavakoli},
  journal= {arXiv preprint arXiv:1409.4760},
  year   = {2014}
}

Comments

This Paper is a draft of final paper which represented in 7th International Symposium on Telecommunications (IST'2014)

R2 v1 2026-06-22T05:58:15.452Z