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IEICE TRANSACTIONS on Fundamentals

A Note on Weight Distributions of Spatially “Mt. Fuji” Coupled LDPC Codes

Yuta NAKAHARA, Toshiyasu MATSUSHIMA

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Summary :

Spatially “Mt. Fuji” coupled (SFC) low density parity check (LDPC) codes are constructed as a chain of block LDPC codes. A difference between the SFC-LDPC codes and the original spatially coupled (SC) LDPC codes is code lengths of the underlying block LDPC codes. The code length of the block LDPC code at the middle of the chain is larger than that at the end of the chain. It is experimentally confirmed that the bit error probability in the error floor region of the SFC-LDPC code is lower than that of the SC-LDPC code whose code length and design rate are the same as those of the SFC-LDPC code. In this letter, we calculate the weight distribution of the SFC-LDPC code and try to explain causes of the low bit error rates of the SFC-LDPC code.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.12 pp.2194-2198
Publication Date
2018/12/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E101.A.2194
Type of Manuscript
Special Section LETTER (Special Section on Information Theory and Its Applications)
Category
Coding theory and techniques

Authors

Yuta NAKAHARA
  Waseda University
Toshiyasu MATSUSHIMA
  Waseda University

Keyword