Matching Q-ary Reed-Solomon codes with M-ary modulation

Author

Gulliver, T. Aaron

Author_Institution

Dept. of Syst. & Comput. Eng., Carleton Univ., Ottawa, Ont., Canada

Volume

45

Issue

11

fYear

1997

fDate

11/1/1997 12:00:00 AM

Firstpage

1349

Lastpage

1353

Abstract

Reed-Solomon (RS) error-correcting codes are often proposed for communication systems requiring burst and/or erasure correction capabilities. In most cases, the modulation symbol size is fixed a priori. Therefore, the effective application of RS coding implies proper matching of the code symbol size with the modulation symbol size. Previous results have assumed that the RS codeword symbol size is an integer multiple of the modulation symbol size or have been based on simple approximations. In this paper, the exact symbol error probability with K-bit M-ary modulation symbols and q-bit RS codeword symbols is presented

Keywords

Reed-Solomon codes; block codes; error correction codes; error statistics; modulation; K-bit M-ary modulation symbols; Q-ary Reed-Solomon codes; burst correction; code symbol size; communication systems; erasure correction; error-correcting codes; exact symbol error probability; modulation symbol size; q-bit RS codeword symbols; Communication systems; Demodulation; Error analysis; Error correction; Error correction codes; Error probability; Fading; Interleaved codes; Modulation coding; Reed-Solomon codes;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.649739

Filename

649739