TY - JOUR
T1 - A note onweight distributions of spatially "mt. Fuji" coupled LDPC codes
AU - Nakahara, Yuta
AU - Matsushima, Toshiyasu
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Numbers 16K00195, 16K00417, JP17K00316, 17K06446, and by Waseda University Grant for Special Research Projects (Project number: 2017A-022). We deeply appreciate Dr. Shota Saito who gave us valuable comments.
Publisher Copyright:
Copyright © 2018 The Institute of Electronics, Information and Communication Engineers.
PY - 2018/12
Y1 - 2018/12
N2 - 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.
AB - 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.
KW - Error floors
KW - Spatially coupled LDPC codes
KW - Weight distributions
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U2 - 10.1587/transfun.E101.A.2194
DO - 10.1587/transfun.E101.A.2194
M3 - Article
AN - SCOPUS:85057448785
SN - 0916-8508
VL - E101A
SP - 2194
EP - 2198
JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
IS - 12
ER -