Advances in the performance of Reed-Solomon codes

Author

Daraiseh, Abdel-Ghani A.

Author_Institution

Wireless Syst. Eng. Dept., Northern Telecom Inc., Richardson, TX, USA

Volume

47

Issue

1

fYear

1999

fDate

1/1/1999 12:00:00 AM

Firstpage

1

Lastpage

5

Abstract

This paper presents generalized expressions for the probabilities of correct decoding and decoder error for Reed-Solomon (RS) codes. In these expressions, the symbol error and erasure probabilities are different in each coordinate in a codeword. The above expressions are used to derive the expressions for reliability and delay for Type-I hybrid ARQ (HARQ-I) systems when each symbol in a packet (multiple codewords per packet) has unique symbol error and erasure probabilities. Applications of the above results are demonstrated by analyzing a bursty-correlative channel in which the symbols and codewords within the packet are correlated

Keywords

Reed-Solomon codes; automatic repeat request; correlation methods; decoding; delays; error statistics; protocols; telecommunication channels; HARQ-I protocol; Reed-Solomon codes; Type-I hybrid ARQ systems; bursty-correlative channel; codewords; correct decoding probability; decoder error probability; delay; erasure probability; reliability; symbol error probability; Automatic repeat request; Block codes; Decoding; Delay; Error correction; Error correction codes; Error probability; Genetic expression; Protocols; Reed-Solomon codes;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.747804

Filename

747804