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Multilevel LDPC Lattices With Efficient Encoding and Decoding and a Generalization of Construction $\text{D}'$.
- Source :
-
IEEE Transactions on Information Theory . May2019, Vol. 65 Issue 5, p3246-3260. 15p. - Publication Year :
- 2019
-
Abstract
- Lattice codes are elegant and powerful structures that not only achieve the capacity of the additive white Gaussian noise (AWGN) channel but are also a key ingredient to many multiterminal schemes that exploit linearity properties. However, constructing lattice codes that can realize these benefits with low complexity is still a challenging problem. In this paper, efficient encoding and decoding algorithms are proposed for multilevel binary low-density parity-check (LDPC) lattices constructed via Construction $\text{D}'$ whose complexity is linear in the total number of coded bits. Moreover, a generalization of Construction $\text{D}'$ is proposed, which relaxes some of the nesting constraints on the parity-check matrices of the component codes, leading to a simpler and improved design. Based on this construction, low-complexity multilevel LDPC lattices are designed whose performance under multistage decoding is comparable to that of polar lattices and close to that of low-density lattice codes on the power-unconstrained AWGN channel. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 65
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 136101291
- Full Text :
- https://doi.org/10.1109/TIT.2018.2883119