Expansion of the Stable Domain on Iterative Decodings Using Monotone Operator Theory
Summary :
Iterative decodings used for turbo codes, concatenated codes and LDPC codes have been the main current of Coding Theory. Many researches have been done to improve the structure, algorithms and so on. But, the iterative process itself was not so much improved. On the other hand, in the field of nonlinear analysis, various iterative methods have been studied for nonlinear mappings. We consider the iterative decodings as nonlinear discrete dynamical systems in mathematics and apply iterative processes called Mann type iteration to the iterative decoding process. We will show, by using monotone operator theory, that the proposed method has more extensive stable domain than that of the conventional iterative process. Moreover, we will see the effect of proposed method in computer simulations.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.10 pp.2512-2520
- Publication Date
- 2004/10/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Coding Theory
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Shohei ITO, Norimichi HIRANO, "Expansion of the Stable Domain on Iterative Decodings Using Monotone Operator Theory" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 10, pp. 2512-2520, October 2004, doi: .
Abstract: Iterative decodings used for turbo codes, concatenated codes and LDPC codes have been the main current of Coding Theory. Many researches have been done to improve the structure, algorithms and so on. But, the iterative process itself was not so much improved. On the other hand, in the field of nonlinear analysis, various iterative methods have been studied for nonlinear mappings. We consider the iterative decodings as nonlinear discrete dynamical systems in mathematics and apply iterative processes called Mann type iteration to the iterative decoding process. We will show, by using monotone operator theory, that the proposed method has more extensive stable domain than that of the conventional iterative process. Moreover, we will see the effect of proposed method in computer simulations.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_10_2512/_p
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@ARTICLE{e87-a_10_2512,
author={Shohei ITO, Norimichi HIRANO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Expansion of the Stable Domain on Iterative Decodings Using Monotone Operator Theory},
year={2004},
volume={E87-A},
number={10},
pages={2512-2520},
abstract={Iterative decodings used for turbo codes, concatenated codes and LDPC codes have been the main current of Coding Theory. Many researches have been done to improve the structure, algorithms and so on. But, the iterative process itself was not so much improved. On the other hand, in the field of nonlinear analysis, various iterative methods have been studied for nonlinear mappings. We consider the iterative decodings as nonlinear discrete dynamical systems in mathematics and apply iterative processes called Mann type iteration to the iterative decoding process. We will show, by using monotone operator theory, that the proposed method has more extensive stable domain than that of the conventional iterative process. Moreover, we will see the effect of proposed method in computer simulations.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - Expansion of the Stable Domain on Iterative Decodings Using Monotone Operator Theory
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2512
EP - 2520
AU - Shohei ITO
AU - Norimichi HIRANO
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2004
AB - Iterative decodings used for turbo codes, concatenated codes and LDPC codes have been the main current of Coding Theory. Many researches have been done to improve the structure, algorithms and so on. But, the iterative process itself was not so much improved. On the other hand, in the field of nonlinear analysis, various iterative methods have been studied for nonlinear mappings. We consider the iterative decodings as nonlinear discrete dynamical systems in mathematics and apply iterative processes called Mann type iteration to the iterative decoding process. We will show, by using monotone operator theory, that the proposed method has more extensive stable domain than that of the conventional iterative process. Moreover, we will see the effect of proposed method in computer simulations.
ER -
English
