Analysis of Error Floors of Non-binary LDPC Codes over BEC

Takayuki NOZAKI; Kenta KASAI; Kohichi SAKANIWA

doi:10.1587/transfun.E95.A.381

Analysis of Error Floors of Non-binary LDPC Codes over BEC

Takayuki NOZAKI, Kenta KASAI, Kohichi SAKANIWA

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In this paper, we investigate the error floors of the non-binary low-density parity-check codes transmitted over the binary erasure channels under belief propagation decoding. We propose a method to improve the decoding erasure rates in the error floors by optimizing labels in zigzag cycles in the Tanner graphs of codes. Furthermore, we give lower bounds on the bit and the symbol erasure rates in the error floors. The simulation results show that the presented lower bounds are tight for the codes designed by the proposed method.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E95-A No.1 pp.381-390

Publication Date: 2012/01/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E95.A.381

Type of Manuscript: PAPER

Category: Coding Theory

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Takayuki NOZAKI, Kenta KASAI, Kohichi SAKANIWA, "Analysis of Error Floors of Non-binary LDPC Codes over BEC" in IEICE TRANSACTIONS on Fundamentals, vol. E95-A, no. 1, pp. 381-390, January 2012, doi: 10.1587/transfun.E95.A.381.
Abstract: In this paper, we investigate the error floors of the non-binary low-density parity-check codes transmitted over the binary erasure channels under belief propagation decoding. We propose a method to improve the decoding erasure rates in the error floors by optimizing labels in zigzag cycles in the Tanner graphs of codes. Furthermore, we give lower bounds on the bit and the symbol erasure rates in the error floors. The simulation results show that the presented lower bounds are tight for the codes designed by the proposed method.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.381/_p

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@ARTICLE{e95-a_1_381,
author={Takayuki NOZAKI, Kenta KASAI, Kohichi SAKANIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis of Error Floors of Non-binary LDPC Codes over BEC},
year={2012},
volume={E95-A},
number={1},
pages={381-390},
abstract={In this paper, we investigate the error floors of the non-binary low-density parity-check codes transmitted over the binary erasure channels under belief propagation decoding. We propose a method to improve the decoding erasure rates in the error floors by optimizing labels in zigzag cycles in the Tanner graphs of codes. Furthermore, we give lower bounds on the bit and the symbol erasure rates in the error floors. The simulation results show that the presented lower bounds are tight for the codes designed by the proposed method.},
keywords={},
doi={10.1587/transfun.E95.A.381},
ISSN={1745-1337},
month={January},}

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TY - JOUR
TI - Analysis of Error Floors of Non-binary LDPC Codes over BEC
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 381
EP - 390
AU - Takayuki NOZAKI
AU - Kenta KASAI
AU - Kohichi SAKANIWA
PY - 2012
DO - 10.1587/transfun.E95.A.381
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E95-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2012
AB - In this paper, we investigate the error floors of the non-binary low-density parity-check codes transmitted over the binary erasure channels under belief propagation decoding. We propose a method to improve the decoding erasure rates in the error floors by optimizing labels in zigzag cycles in the Tanner graphs of codes. Furthermore, we give lower bounds on the bit and the symbol erasure rates in the error floors. The simulation results show that the presented lower bounds are tight for the codes designed by the proposed method.
ER -