Low-density parity-check codes with quantised messages on binary symmetric channel

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Low-density parity-check codes with quantised messages on binary symmetric channel

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This reported work concerns the design and evaluation of low-density parity-check codes over a binary symmetric channel in the presence of a fixed-point min-sum decoder. In this case, using a discretised density evolution method together with an elegant linear programming approach, the constraint on the number of quantisation levels is incorporated in the optimisation process to derive a proper LDPC code. Simulation results demonstrate that the proposed method outperforms existing codes addressed in the literature.

Inspec keywords: channel coding; quantisation (signal); parity check codes; linear programming

Other keywords: fixed-point min-sum decoder; low density parity check code; elegant linear programming approach; binary symmetric channel; channel code; discretised density evolution method; quantisation level; optimisation process; quantised message; LDPC code

Subjects: Optimisation techniques; Codes

References

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    2. 2)
      • Smith, B., Kschischang, F.R., Yu, W.: `Low-density parity-check codes for discretised min-sum decoding', 23rdBiennial Symp. on Communications, 2006, Kingston, Canada, p. 14–17.
    3. 3)
      • Anastasopoulos, A.: `A comparison between the sum-product and the min-sum iterative detection algorithms based on density evolution', IEEE Proc. GLOBECOM, 2001, San Antonio, TX, USA, 2, p. 1021–1025.
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http://iet.metastore.ingenta.com/content/journals/10.1049/el.2011.3662
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