Low-Density Parity-Check Lattices: Construction and Decoding Analysis

  title={Low-Density Parity-Check Lattices: Construction and Decoding Analysis},
  author={Mohammad-Reza Sadeghi and Amir H. Banihashemi and Daniel Panario},
  journal={IEEE Transactions on Information Theory},
Low-density parity-check codes (LDPC) can have an impressive performance under iterative decoding algorithms. In this paper we introduce a method to construct high coding gain lattices with low decoding complexity based on LDPC codes. To construct such lattices we apply Construction D', due to Bos, Conway, and Sloane, to a set of parity checks defining a family of nested LDPC codes. For the decoding algorithm, we generalize the application of max-sum algorithm to the Tanner graph of lattices… CONTINUE READING
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