Complex low-density lattice codes designed for ISI channels via spatial coupling

Author

Li, Yang ; Bie, Zhisong ; Lin, Jiaru ; Jiao, Xianjun

Author_Institution

Key Lab. of Universal Wireless Confutations, Beijing Univ. of Posts & Telecommun., Beijing, China

fYear

2012

fDate

15-17 Oct. 2012

Firstpage

426

Lastpage

431

Abstract

Complex low-density lattice codes (LDLC) designed via spatial coupling for inter-symbol interference (ISI) channels are proposed in this paper. A complex node-by-node belief propagation (BP) decoding algorithm is derived. To improve the BP threshold lattice codes are directly constructed in the Euclidean space via spatial coupling technique. A semi-analytical density evolution method is used to search the BP threshold as well as elements of the parity matrix. Voronoi shaping operation is employed to utilize the potential nominal coding gain and the shaping gain. Simulation results show that error performance of complex spatially-coupled LDLC codes is less than ldB from capacity at dimension 10,000.

Keywords

channel coding; decoding; intersymbol interference; matrix algebra; BP decoding algorithm; BP threshold lattice code; Euclidean space; ISI channel; LDLC codes; Voronoi shaping operation; complex low-density lattice code; intersymbol interference; node-by-node belief propagation; nominal coding gain; parity matrix; semianalytical density evolution method; shaping gain; spatial coupling technique; BP threshold; Complex Low-density lattice codes; Voronoi shaping; complex node-by-node belief propagation decoding; density evolution; inter-symbol interference; spatial coupling;

fLanguage

English

Publisher

ieee

Conference_Titel

ICT Convergence (ICTC), 2012 International Conference on

Conference_Location

Jeju Island

Print_ISBN

978-1-4673-4829-4

Electronic_ISBN

978-1-4673-4827-0

Type

conf

DOI

10.1109/ICTC.2012.6387167

Filename

6387167