Soft decision decoding of linear block codes based on ordered statistics for the Rayleigh fading channel with coherent detection

Author

Fossorier, Marc P C ; Lin, Shu

Author_Institution

Dept. of Electr. Eng., Hawaii Univ., Honolulu, HI, USA

Volume

45

Issue

1

fYear

1997

fDate

1/1/1997 12:00:00 AM

Firstpage

12

Lastpage

14

Abstract

The soft decision decoding algorithm based on the ordered statistics proposed by Fossorier and Lin (see IEEE Trans. Inform. Theory, vol.41, no.9, p.1379-96, 1995) is applied to the Rayleigh fading channel with coherent detection. For an (N, K) block code, it is shown that order-1 reprocessing, or equivalently considering K+1 codeword candidates, provides most of the coding gain over uncoded binary phase shift keying (BPSK). In addition to its contribution to coding for the Rayleigh fading channel, the article also provides a general framework for evaluating the error performance of an algorithm based on a total or partial ordering of a random variable (RV) depending on one or many other RVs and illustrates how the reprocessing method of Fossorier et al. relates to the reliability measures defining the ordering

Keywords

Rayleigh channels; block codes; coding errors; decoding; error statistics; fading; linear codes; signal detection; BPSK; Rayleigh fading channel; codeword; coding gain; coherent detection; error performance; extended BCH codes; extended Golay codes; linear block codes; order-1 reprocessing; ordered statistics; partial ordering; random variable; reliability measures; reprocessing method; soft decision decoding algorithm; uncoded binary phase shift keying; AWGN; Additive white noise; Binary phase shift keying; Bit error rate; Block codes; Decoding; Fading; Magnetic resonance imaging; Rayleigh channels; Statistics;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.554278

Filename

554278