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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.

- Publication
- IEICE TRANSACTIONS on Communications Vol.E91-B No.9 pp.2987-2990

- Publication Date
- 2008/09/01

- Publicized

- Online ISSN
- 1745-1345

- DOI
- 10.1093/ietcom/e91-b.9.2987

- Type of Manuscript
- LETTER

- Category
- Fundamental Theories for Communications

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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 -