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Multilevel lattices based on spatially-coupled LDPC codes with applications

Publication ,  Conference
Vem, A; Huang, YC; Narayanan, KR; Pfister, HD
Published in: IEEE International Symposium on Information Theory - Proceedings
January 1, 2014

We propose a class of lattices constructed using Construction D where the underlying linear codes are nested binary spatially-coupled low-density parity-check codes (SC-LDPC) codes with uniform left and right degrees. By leveraging recent results on the optimality of spatially-coupled codes for binary input memoryless channels and Forney et al.'s earlier results on the optimality of construction D, we show that the proposed lattices achieve the Poltyrev limit under multistage belief propagation decoding. Lattice codes constructed from these lattices are shown to provide excellent performance for the three user symmetric interference channel. They can also be naturally used in applications such as integer-forcing and compute-and-forward. © 2014 IEEE.

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Published In

IEEE International Symposium on Information Theory - Proceedings

DOI

ISSN

2157-8095

Publication Date

January 1, 2014

Start / End Page

2336 / 2340
 

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Vem, A., Huang, Y. C., Narayanan, K. R., & Pfister, H. D. (2014). Multilevel lattices based on spatially-coupled LDPC codes with applications. In IEEE International Symposium on Information Theory - Proceedings (pp. 2336–2340). https://doi.org/10.1109/ISIT.2014.6875251
Vem, A., Y. C. Huang, K. R. Narayanan, and H. D. Pfister. “Multilevel lattices based on spatially-coupled LDPC codes with applications.” In IEEE International Symposium on Information Theory - Proceedings, 2336–40, 2014. https://doi.org/10.1109/ISIT.2014.6875251.
Vem A, Huang YC, Narayanan KR, Pfister HD. Multilevel lattices based on spatially-coupled LDPC codes with applications. In: IEEE International Symposium on Information Theory - Proceedings. 2014. p. 2336–40.
Vem, A., et al. “Multilevel lattices based on spatially-coupled LDPC codes with applications.” IEEE International Symposium on Information Theory - Proceedings, 2014, pp. 2336–40. Scopus, doi:10.1109/ISIT.2014.6875251.
Vem A, Huang YC, Narayanan KR, Pfister HD. Multilevel lattices based on spatially-coupled LDPC codes with applications. IEEE International Symposium on Information Theory - Proceedings. 2014. p. 2336–2340.

Published In

IEEE International Symposium on Information Theory - Proceedings

DOI

ISSN

2157-8095

Publication Date

January 1, 2014

Start / End Page

2336 / 2340