Design of Quasi-Cyclic LDPC Codes with Maximized Girth Property
Summary :
In this paper, we propose the construction of quasi-cyclic (QC) LDPC codes based on the modified progressive edge-growth (PEG) algorithm to achieve the maximum local girth. Although the previously designed QC-LDPC codes based on the PEG algorithm has more flexible code rates than the conventional QC-LDPC code, in the design process, multiple choices of the edges may be chosen. In the proposed algorithm, we aim to maximize the girth property by choosing the suitable edges and thus improve the error correcting performance. Simulation results show that the QC-LDPC codes constructed from the proposed method give higher proportion of high local girths than other methods, particularly, at high code rates. In addition, the proposed codes offer superior bit error rate and block error rate performances to the previous PEG-QC codes over the additive white Gaussian noise (AWGN) channel.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.11 pp.2128-2133
- Publication Date
- 2013/11/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E96.A.2128
- Type of Manuscript
- Special Section PAPER (Special Section on Smart Multimedia & Communication Systems)
- Category
- Coding Theory
Authors
Watid PHAKPHISUT
King Mongkut's Institute of Technology Ladkrabang
Patanasak PROMPAKDEE
Fabrinet Company Limited
Pornchai SUPNITHI
King Mongkut's Institute of Technology Ladkrabang
Keyword
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Watid PHAKPHISUT, Patanasak PROMPAKDEE, Pornchai SUPNITHI, "Design of Quasi-Cyclic LDPC Codes with Maximized Girth Property" in IEICE TRANSACTIONS on Fundamentals,
vol. E96-A, no. 11, pp. 2128-2133, November 2013, doi: 10.1587/transfun.E96.A.2128.
Abstract: In this paper, we propose the construction of quasi-cyclic (QC) LDPC codes based on the modified progressive edge-growth (PEG) algorithm to achieve the maximum local girth. Although the previously designed QC-LDPC codes based on the PEG algorithm has more flexible code rates than the conventional QC-LDPC code, in the design process, multiple choices of the edges may be chosen. In the proposed algorithm, we aim to maximize the girth property by choosing the suitable edges and thus improve the error correcting performance. Simulation results show that the QC-LDPC codes constructed from the proposed method give higher proportion of high local girths than other methods, particularly, at high code rates. In addition, the proposed codes offer superior bit error rate and block error rate performances to the previous PEG-QC codes over the additive white Gaussian noise (AWGN) channel.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.2128/_p
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@ARTICLE{e96-a_11_2128,
author={Watid PHAKPHISUT, Patanasak PROMPAKDEE, Pornchai SUPNITHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Design of Quasi-Cyclic LDPC Codes with Maximized Girth Property},
year={2013},
volume={E96-A},
number={11},
pages={2128-2133},
abstract={In this paper, we propose the construction of quasi-cyclic (QC) LDPC codes based on the modified progressive edge-growth (PEG) algorithm to achieve the maximum local girth. Although the previously designed QC-LDPC codes based on the PEG algorithm has more flexible code rates than the conventional QC-LDPC code, in the design process, multiple choices of the edges may be chosen. In the proposed algorithm, we aim to maximize the girth property by choosing the suitable edges and thus improve the error correcting performance. Simulation results show that the QC-LDPC codes constructed from the proposed method give higher proportion of high local girths than other methods, particularly, at high code rates. In addition, the proposed codes offer superior bit error rate and block error rate performances to the previous PEG-QC codes over the additive white Gaussian noise (AWGN) channel.},
keywords={},
doi={10.1587/transfun.E96.A.2128},
ISSN={1745-1337},
month={November},}
Copy
TY - JOUR
TI - Design of Quasi-Cyclic LDPC Codes with Maximized Girth Property
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2128
EP - 2133
AU - Watid PHAKPHISUT
AU - Patanasak PROMPAKDEE
AU - Pornchai SUPNITHI
PY - 2013
DO - 10.1587/transfun.E96.A.2128
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2013
AB - In this paper, we propose the construction of quasi-cyclic (QC) LDPC codes based on the modified progressive edge-growth (PEG) algorithm to achieve the maximum local girth. Although the previously designed QC-LDPC codes based on the PEG algorithm has more flexible code rates than the conventional QC-LDPC code, in the design process, multiple choices of the edges may be chosen. In the proposed algorithm, we aim to maximize the girth property by choosing the suitable edges and thus improve the error correcting performance. Simulation results show that the QC-LDPC codes constructed from the proposed method give higher proportion of high local girths than other methods, particularly, at high code rates. In addition, the proposed codes offer superior bit error rate and block error rate performances to the previous PEG-QC codes over the additive white Gaussian noise (AWGN) channel.
ER -
English
