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This paper introduces a family of error correcting codes called zigzag codes. A zigzag code is described by a highly structured zigzag graph. Due to the structural properties of the graph, very low complexity soft in, soft out decoding rules can be implemented. We present a decoding rule, based on the Max Log APP(MLA) formulation, which requires a total of only 20 addition equivalent operations per information bit per iteration. Simulation of a rate 1/2 concatenated zigzag code with four constituent encoders with interleaver length 65536 yields a bit error rate (BER) and of 10 5 at 0.9 dB and 1.4 dB away from the Shannon limit by optimal (APP) and low cost sub optimal (MLA) decoders, respectively.
This paper introduces a family of error corrected codes called zigzag codes. A zigzag code is described by a highly structured zigzag graph. Due to the structural properties of the graph, very low complexity soft in, soft out decoding rules can be implemented. We present a decoding rule, based on the Max Log APP (MLA) formulation, which requires a total of only 20 addition equivalent operations per information bit per iteration. Simulation of a rate 1/2 concatenated zigzag code with four constituent encoders with interleaver length 65536 yields a bit error rate (BER) and of 10 5 at 0.9 dB and 1.4 dB away from the Shannon limit by optimal (APP) and low cost sub optimal (MLA) decoders, respectively.