Soft-decision decoding of Reed–Muller codes based on simple multi-step SISO module

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Soft-decision decoding of Reed–Muller codes based on simple multi-step SISO module

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The paper proposes a new multi-step soft-decision decoding for the generic Reed–Muller (RM) code family, which is based on a simple multi-step soft-input soft-output (SISO) module and inherent merits of the RM codes. In an AWGN channel, the simulation results show that for RM codes of different code rates and lengths the introduced approach can offer pronounced performance gains over other soft-decision sub-optimal approaches and a conventional hard majority logic decoder. The results also indicate that the new algorithm can achieve a performance very close to that provided by a maximum likelihood decoder under the same conditions.

Inspec keywords: Reed-Muller codes; AWGN channels; data communication; geometric codes; decoding; majority logic; channel coding

Other keywords: soft-decision decoding; maximum likelihood decoder; soft-input soft-output module; hard majority logic decoder; AWGN channel; Reed-Muller codes; multistep decoding; multistep SISO module; channel coding; data communication systems; suboptimal approaches; geometrical codes

Subjects: Radio links and equipment; Codes

References

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