Encoding and Decoding Construction D' Lattices for Power-Constrained Communications
Abstract
This paper focuses on the encoding and decoding of Construction D' coding lattices that can be used with shaping lattices for power-constrained channels. Two encoding methods and a decoding algorithm for Construction D' lattices are given. A design of quasi-cyclic low-density parity-check (QC-LDPC) codes to form Construction D' lattices is presented. This allows construction of nested lattice codes which are good for coding, good for shaping, and have low complexity encoding and decoding. Numerical results of using $E_8$, $BW_{16}$ and Leech lattices for shaping a Construction D' lattice indicate that the shaping gains 0.65 dB, 0.86 dB and 1.03 dB are preserved, respectively.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2021
- DOI:
- arXiv:
- arXiv:2102.04741
- Bibcode:
- 2021arXiv210204741Z
- Keywords:
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- Computer Science - Information Theory
- E-Print:
- Proc. 2021 IEEE International Symposium on Information Theory (ISIT), pp. 1005-1010