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Adaptive Type Hybrid ARQ System Using BCH Codes
Akira SHIOZAKI
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E75A
No.9
pp.10711075 Publication Date: 1992/09/25
Online ISSN:
DOI:
Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications) Category: Keyword: adaptive type hybrid ARQ, error control, transmission control, channel coding, throughput analysis,
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Summary:
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 errorcorrecting capability of BCH code according to channel state using incremental redundancy. The incremental redundancy is the remainder a_{i}(x) of an information frame f(x) of length n divided by a minimum polynomial m_{i}(x) of α^{2i1}, where α is a primitive element of finite field GF(2^{l}). Let g_{i}(x) be the product of m_{j}(x) (j=1, 2, , i) and let c_{i}(x) be the remainder of f(x) divided by g_{i}(x). The polynomial c_{i}(x) is obtained from the remainders a_{i}(x) and c_{i1}(x) since m_{i}(x)and g_{i1} (x) are relatively prime. Since f(x) + c_{i}(x) is divided by g_{i}(x), f(x) + c_{i}(x) is the codeword of an ierrorcorrecting BCH code when n2^{l}1. So, the errors less than or equal to i bits in f(x) can be corrected if c_{i}(x) has no error.

