Covariance Evolution for Spatially 'Mt. Fuji' Coupled LDPC Codes

Yuta Nakahara; Toshiyasu Matsushima

doi:10.1109/ITW44776.2019.8989366

Covariance Evolution for Spatially 'Mt. Fuji' Coupled LDPC Codes

Yuta Nakahara, Toshiyasu Matsushima

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

A spatially 'Mt. Fuji' coupled low-density parity check (LDPC) ensemble is a modified version of the original spatially coupled (SC) LDPC ensemble. Its desirable properties are first observed in experimentally. The decoding error probability in the error floor region over the binary erasure channel (BEC) is theoretically analyzed later. In this paper, as the last piece of the theoretical analysis over the BEC, we analyze the decoding error probability in the waterfall region by modifying the covariance evolution which has been used to analyze the original SC-LDPC ensemble.

Original language	English
Title of host publication	2019 IEEE Information Theory Workshop, ITW 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781538669006
DOIs	https://doi.org/10.1109/ITW44776.2019.8989366
Publication status	Published - 2019 Aug
Event	2019 IEEE Information Theory Workshop, ITW 2019 - Visby, Sweden Duration: 2019 Aug 25 → 2019 Aug 28

Publication series

Name	2019 IEEE Information Theory Workshop, ITW 2019

Conference

Conference	2019 IEEE Information Theory Workshop, ITW 2019
Country/Territory	Sweden
City	Visby
Period	19/8/25 → 19/8/28

Keywords

covariance evolution
finite-length code performance
spatially coupled codes

ASJC Scopus subject areas

Software
Computational Theory and Mathematics
Computer Networks and Communications
Information Systems

Access to Document

10.1109/ITW44776.2019.8989366

Cite this

Nakahara, Y & Matsushima, T 2019, Covariance Evolution for Spatially 'Mt. Fuji' Coupled LDPC Codes. in 2019 IEEE Information Theory Workshop, ITW 2019., 8989366, 2019 IEEE Information Theory Workshop, ITW 2019, Institute of Electrical and Electronics Engineers Inc., 2019 IEEE Information Theory Workshop, ITW 2019, Visby, Sweden, 19/8/25. https://doi.org/10.1109/ITW44776.2019.8989366

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title = "Covariance Evolution for Spatially 'Mt. Fuji' Coupled LDPC Codes",

abstract = "A spatially 'Mt. Fuji' coupled low-density parity check (LDPC) ensemble is a modified version of the original spatially coupled (SC) LDPC ensemble. Its desirable properties are first observed in experimentally. The decoding error probability in the error floor region over the binary erasure channel (BEC) is theoretically analyzed later. In this paper, as the last piece of the theoretical analysis over the BEC, we analyze the decoding error probability in the waterfall region by modifying the covariance evolution which has been used to analyze the original SC-LDPC ensemble.",

keywords = "covariance evolution, finite-length code performance, spatially coupled codes",

author = "Yuta Nakahara and Toshiyasu Matsushima",

note = "Funding Information: This work was supported by JSPS KAKENHI Grant Numbers JP16K00195, JP16K00417, JP17K00316, JP17K06446, JP18K11585 Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 IEEE Information Theory Workshop, ITW 2019 ; Conference date: 25-08-2019 Through 28-08-2019",

year = "2019",

month = aug,

doi = "10.1109/ITW44776.2019.8989366",

language = "English",

series = "2019 IEEE Information Theory Workshop, ITW 2019",

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Y1 - 2019/8

N2 - A spatially 'Mt. Fuji' coupled low-density parity check (LDPC) ensemble is a modified version of the original spatially coupled (SC) LDPC ensemble. Its desirable properties are first observed in experimentally. The decoding error probability in the error floor region over the binary erasure channel (BEC) is theoretically analyzed later. In this paper, as the last piece of the theoretical analysis over the BEC, we analyze the decoding error probability in the waterfall region by modifying the covariance evolution which has been used to analyze the original SC-LDPC ensemble.

AB - A spatially 'Mt. Fuji' coupled low-density parity check (LDPC) ensemble is a modified version of the original spatially coupled (SC) LDPC ensemble. Its desirable properties are first observed in experimentally. The decoding error probability in the error floor region over the binary erasure channel (BEC) is theoretically analyzed later. In this paper, as the last piece of the theoretical analysis over the BEC, we analyze the decoding error probability in the waterfall region by modifying the covariance evolution which has been used to analyze the original SC-LDPC ensemble.

KW - covariance evolution

KW - finite-length code performance

KW - spatially coupled codes

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DO - 10.1109/ITW44776.2019.8989366

M3 - Conference contribution

AN - SCOPUS:85081110284

T3 - 2019 IEEE Information Theory Workshop, ITW 2019

BT - 2019 IEEE Information Theory Workshop, ITW 2019

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2019 IEEE Information Theory Workshop, ITW 2019

Y2 - 25 August 2019 through 28 August 2019

ER -

Covariance Evolution for Spatially 'Mt. Fuji' Coupled LDPC Codes

Abstract

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Keywords

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