Sufficient Conditions for a Regular LDPC Code Better than an Irregular LDPC Code
Summary :
Decoding performance of LDPC (Low-Density Parity-Check) codes is highly dependent on the degree distributions of the Tanner graphs which define the LDPC codes. We compare two LDPC code ensembles, one has a uniform degree distribution and the other a non-uniform one over a BEC (Binary Erasure Channel) and a BSC (Binary Symmetric Channel) thorough DE (Density Evolution). We then derive sufficient conditions on the erasure probability of a BEC and the error probability of a BSC, under which the LDPC code ensembles with uniform degree distributions outperform those with non-uniform degree distributions.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E90-A No.2 pp.531-534
- Publication Date
- 2007/02/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e90-a.2.531
- Type of Manuscript
- LETTER
- Category
- Coding Theory
Authors
Keyword
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Shinya MIYAMOTO, Kenta KASAI, Kohichi SAKANIWA, "Sufficient Conditions for a Regular LDPC Code Better than an Irregular LDPC Code" in IEICE TRANSACTIONS on Fundamentals,
vol. E90-A, no. 2, pp. 531-534, February 2007, doi: 10.1093/ietfec/e90-a.2.531.
Abstract: Decoding performance of LDPC (Low-Density Parity-Check) codes is highly dependent on the degree distributions of the Tanner graphs which define the LDPC codes. We compare two LDPC code ensembles, one has a uniform degree distribution and the other a non-uniform one over a BEC (Binary Erasure Channel) and a BSC (Binary Symmetric Channel) thorough DE (Density Evolution). We then derive sufficient conditions on the erasure probability of a BEC and the error probability of a BSC, under which the LDPC code ensembles with uniform degree distributions outperform those with non-uniform degree distributions.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.2.531/_p
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@ARTICLE{e90-a_2_531,
author={Shinya MIYAMOTO, Kenta KASAI, Kohichi SAKANIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Sufficient Conditions for a Regular LDPC Code Better than an Irregular LDPC Code},
year={2007},
volume={E90-A},
number={2},
pages={531-534},
abstract={Decoding performance of LDPC (Low-Density Parity-Check) codes is highly dependent on the degree distributions of the Tanner graphs which define the LDPC codes. We compare two LDPC code ensembles, one has a uniform degree distribution and the other a non-uniform one over a BEC (Binary Erasure Channel) and a BSC (Binary Symmetric Channel) thorough DE (Density Evolution). We then derive sufficient conditions on the erasure probability of a BEC and the error probability of a BSC, under which the LDPC code ensembles with uniform degree distributions outperform those with non-uniform degree distributions.},
keywords={},
doi={10.1093/ietfec/e90-a.2.531},
ISSN={1745-1337},
month={February},}
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TY - JOUR
TI - Sufficient Conditions for a Regular LDPC Code Better than an Irregular LDPC Code
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 531
EP - 534
AU - Shinya MIYAMOTO
AU - Kenta KASAI
AU - Kohichi SAKANIWA
PY - 2007
DO - 10.1093/ietfec/e90-a.2.531
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2007
AB - Decoding performance of LDPC (Low-Density Parity-Check) codes is highly dependent on the degree distributions of the Tanner graphs which define the LDPC codes. We compare two LDPC code ensembles, one has a uniform degree distribution and the other a non-uniform one over a BEC (Binary Erasure Channel) and a BSC (Binary Symmetric Channel) thorough DE (Density Evolution). We then derive sufficient conditions on the erasure probability of a BEC and the error probability of a BSC, under which the LDPC code ensembles with uniform degree distributions outperform those with non-uniform degree distributions.
ER -
English
