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Akira SHIOZAKI, "Adaptive Type- Hybrid ARQ System Using BCH Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E75-A, no. 9, pp. 1071-1075, September 1992, doi: .
Abstract: In this paper, a type hybrid ARQ scheme with Adaptive Forward Error Correction (ARQ/AFEC) using BCH codes is proposed and analyzed. The basic idea in the proposed type hybrid ARQ/AFEC scheme is to increase the error-correcting capability of BCH code according to channel state using incremental redundancy. The incremental redundancy is the remainder ai(x) of an information frame f(x) of length n divided by a minimum polynomial mi(x) of α2i-1, where α is a primitive element of finite field GF(2l). Let gi(x) be the product of mj(x) (j=1, 2, , i) and let ci(x) be the remainder of f(x) divided by gi(x). The polynomial ci(x) is obtained from the remainders ai(x) and ci-1(x) since mi(x)and gi-1 (x) are relatively prime. Since f(x) + ci(x) is divided by gi(x), f(x) + ci(x) is the codeword of an i-error-correcting BCH code when n2l-1. So, the errors less than or equal to i bits in f(x) can be corrected if ci(x) has no error.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_9_1071/_p
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@ARTICLE{e75-a_9_1071,
author={Akira SHIOZAKI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Adaptive Type- Hybrid ARQ System Using BCH Codes},
year={1992},
volume={E75-A},
number={9},
pages={1071-1075},
abstract={In this paper, a type hybrid ARQ scheme with Adaptive Forward Error Correction (ARQ/AFEC) using BCH codes is proposed and analyzed. The basic idea in the proposed type hybrid ARQ/AFEC scheme is to increase the error-correcting capability of BCH code according to channel state using incremental redundancy. The incremental redundancy is the remainder ai(x) of an information frame f(x) of length n divided by a minimum polynomial mi(x) of α2i-1, where α is a primitive element of finite field GF(2l). Let gi(x) be the product of mj(x) (j=1, 2, , i) and let ci(x) be the remainder of f(x) divided by gi(x). The polynomial ci(x) is obtained from the remainders ai(x) and ci-1(x) since mi(x)and gi-1 (x) are relatively prime. Since f(x) + ci(x) is divided by gi(x), f(x) + ci(x) is the codeword of an i-error-correcting BCH code when n2l-1. So, the errors less than or equal to i bits in f(x) can be corrected if ci(x) has no error.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Adaptive Type- Hybrid ARQ System Using BCH Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1071
EP - 1075
AU - Akira SHIOZAKI
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1992
AB - In this paper, a type hybrid ARQ scheme with Adaptive Forward Error Correction (ARQ/AFEC) using BCH codes is proposed and analyzed. The basic idea in the proposed type hybrid ARQ/AFEC scheme is to increase the error-correcting capability of BCH code according to channel state using incremental redundancy. The incremental redundancy is the remainder ai(x) of an information frame f(x) of length n divided by a minimum polynomial mi(x) of α2i-1, where α is a primitive element of finite field GF(2l). Let gi(x) be the product of mj(x) (j=1, 2, , i) and let ci(x) be the remainder of f(x) divided by gi(x). The polynomial ci(x) is obtained from the remainders ai(x) and ci-1(x) since mi(x)and gi-1 (x) are relatively prime. Since f(x) + ci(x) is divided by gi(x), f(x) + ci(x) is the codeword of an i-error-correcting BCH code when n2l-1. So, the errors less than or equal to i bits in f(x) can be corrected if ci(x) has no error.
ER -
Hybrid ARQ System Using BCH Codes
English
