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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

Yuta NAKAHARA

Waseda University

Toshiyasu MATSUSHIMA

Waseda University

The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.

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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 -