The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Dans cet article, la caractéristique statistique du délai de détection d'erreur (EDD) des codes arithmétiques binaires de précision finie (FPBAC) est discutée. On observe que, outre la probabilité du Symbole Interdit (FS) inséré dans la liste des symboles sources, la probabilité de la séquence source et la précision de l'opération ainsi que la position du FS dans l'intervalle de codage peuvent affecter la caractéristique statistique de l'EDD. Les expériences démontrent que la distribution réelle de l'EDD du FPBAC est très différente de la distribution géométrique des codes arithmétiques à précision infinie. Ce phénomène fait l'objet de recherches approfondies et un nouveau modèle statistique (distribution gamma) de la distribution réelle de l'EDD est proposé, ce qui permet de prédire plus précisément l'EDD. Enfin, les expressions de relation entre les paramètres de la distribution gamma et les facteurs associés affectant la distribution sont données.
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Yuye PANG, Jun SUN, Jia WANG, Peng WANG, "A New Model for the Error Detection Delay of Finite Precision Binary Arithmetic Codes with a Forbidden Symbol" in IEICE TRANSACTIONS on Communications,
vol. E91-B, no. 9, pp. 2987-2990, September 2008, doi: 10.1093/ietcom/e91-b.9.2987.
Abstract: In this paper, the statistical characteristic of the Error Detection Delay (EDD) of Finite Precision Binary Arithmetic Codes (FPBAC) is discussed. It is observed that, apart from the probability of the Forbidden Symbol (FS) inserted into the list of the source symbols, the probability of the source sequence and the operation precision as well as the position of the FS in the coding interval can affect the statistical characteristic of the EDD. Experiments demonstrate that the actual distribution of the EDD of FPBAC is quite different from the geometric distribution of infinite precision arithmetic codes. This phenomenon is researched deeply, and a new statistical model (gamma distribution) of the actual distribution of the EDD is proposed, which can make a more precise prediction of the EDD. Finally, the relation expressions between the parameters of gamma distribution and the related factors affecting the distribution are given.
URL: https://global.ieice.org/en_transactions/communications/10.1093/ietcom/e91-b.9.2987/_p
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@ARTICLE{e91-b_9_2987,
author={Yuye PANG, Jun SUN, Jia WANG, Peng WANG, },
journal={IEICE TRANSACTIONS on Communications},
title={A New Model for the Error Detection Delay of Finite Precision Binary Arithmetic Codes with a Forbidden Symbol},
year={2008},
volume={E91-B},
number={9},
pages={2987-2990},
abstract={In this paper, the statistical characteristic of the Error Detection Delay (EDD) of Finite Precision Binary Arithmetic Codes (FPBAC) is discussed. It is observed that, apart from the probability of the Forbidden Symbol (FS) inserted into the list of the source symbols, the probability of the source sequence and the operation precision as well as the position of the FS in the coding interval can affect the statistical characteristic of the EDD. Experiments demonstrate that the actual distribution of the EDD of FPBAC is quite different from the geometric distribution of infinite precision arithmetic codes. This phenomenon is researched deeply, and a new statistical model (gamma distribution) of the actual distribution of the EDD is proposed, which can make a more precise prediction of the EDD. Finally, the relation expressions between the parameters of gamma distribution and the related factors affecting the distribution are given.},
keywords={},
doi={10.1093/ietcom/e91-b.9.2987},
ISSN={1745-1345},
month={September},}
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TY - JOUR
TI - A New Model for the Error Detection Delay of Finite Precision Binary Arithmetic Codes with a Forbidden Symbol
T2 - IEICE TRANSACTIONS on Communications
SP - 2987
EP - 2990
AU - Yuye PANG
AU - Jun SUN
AU - Jia WANG
AU - Peng WANG
PY - 2008
DO - 10.1093/ietcom/e91-b.9.2987
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E91-B
IS - 9
JA - IEICE TRANSACTIONS on Communications
Y1 - September 2008
AB - In this paper, the statistical characteristic of the Error Detection Delay (EDD) of Finite Precision Binary Arithmetic Codes (FPBAC) is discussed. It is observed that, apart from the probability of the Forbidden Symbol (FS) inserted into the list of the source symbols, the probability of the source sequence and the operation precision as well as the position of the FS in the coding interval can affect the statistical characteristic of the EDD. Experiments demonstrate that the actual distribution of the EDD of FPBAC is quite different from the geometric distribution of infinite precision arithmetic codes. This phenomenon is researched deeply, and a new statistical model (gamma distribution) of the actual distribution of the EDD is proposed, which can make a more precise prediction of the EDD. Finally, the relation expressions between the parameters of gamma distribution and the related factors affecting the distribution are given.
ER -