This paper deals with Reed-Muller (RM) coding and concatenated soft-decision decoding for binary partial-response class-IV (PRIV) channels. Block interleaved RM codewords are transmitted with preceding over the PRIV channel. In the receiver, soft-decision decoding is accomplished in two stages. An inner decoder accounts for the preceded transmission of binary symbols over the PRIV channel. Approximate log-likelihood ratios for individual code symbols are determined by a new bi-directional symbol estimation algorithm. The obtained soft information values are deinterleaved and passed to the outer decoding stage. With sufficient interleaving, these values represent the appropriate metrics for soft-decision RM decoding. An efficient suboptimal decoding algorithm based on the generalized multiple concatenation (GMC) structure of RM codes is employed. Real coding gains over uncoded transmission with maximum-likelihood sequence decoding were determined by simulation. Results are presented for various RM code parameters and degrees of interleaving. Encoder and decoder realization as well as complexity issues are addressed. A comparison with other coding schemes known for PRIV channels shows significant advantages of the scheme considered here in terms of coding gains versus decoding complexity.
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