Concatenated zigzag hadamard codes

@article{Leung2006ConcatenatedZH,
  title={Concatenated zigzag hadamard codes},
  author={Raymond W. K. Leung and Guosen Yue and Li Ping and Xiaodong Wang},
  journal={IEEE Transactions on Information Theory},
  year={2006},
  volume={52},
  pages={1711-1723}
}
In this correspondence, we introduce a new class of low-rate error correction codes called zigzag Hadamard (ZH) codes and their concatenation schemes. Each member of this class of codes is specified by a highly structured zigzag graph with each segment being a Hadamard codeword. The ZH codes enjoy extremely simple encoding and very low-complexity soft-input-soft-output (SISO) decoding based on a posteriori probability (APP) fast Hadamard transform (FHT) technique. We present an asymptotic… CONTINUE READING
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  • Specifically, a rate-0.0107 concatenated code with three ZH components and an interleaver size of 65536 can achieve the bit error rate (BER) performance of 10/sup -5/ at -1.15dB, which is only 0.44 dB away from the ultimate Shannon limit.

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