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.
Yuta NAKAHARA
Waseda University
Toshiyasu MATSUSHIMA
Waseda University
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Yuta NAKAHARA, Toshiyasu MATSUSHIMA, "A Note on Weight Distributions of Spatially “Mt. Fuji” Coupled LDPC Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 12, pp. 2194-2198, December 2018, doi: 10.1587/transfun.E101.A.2194.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.2194/_p
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@ARTICLE{e101-a_12_2194,
author={Yuta NAKAHARA, Toshiyasu MATSUSHIMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Note on Weight Distributions of Spatially “Mt. Fuji” Coupled LDPC Codes},
year={2018},
volume={E101-A},
number={12},
pages={2194-2198},
abstract={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.},
keywords={},
doi={10.1587/transfun.E101.A.2194},
ISSN={1745-1337},
month={December},}
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TY - JOUR
TI - A Note on Weight Distributions of Spatially “Mt. Fuji” Coupled LDPC Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2194
EP - 2198
AU - Yuta NAKAHARA
AU - Toshiyasu MATSUSHIMA
PY - 2018
DO - 10.1587/transfun.E101.A.2194
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2018
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.
ER -