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

摘要

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.