Spatial coupling for distributed storage and diversity applications

F. Jardel (1) , J.J. Boutros (2) , V. Dedeoglu (2) , M. Sarkiss (1) , Ghaya Rekaya-Ben Othman (3)

1 DIASI - Département Intelligence Ambiante et Systèmes Interactifs
2 Texas A&M University at Qatar
3 Télécom ParisTech

Low-density parity-check codes are considered for erasure channels, mainly Root-LDPC codes that include a special type of checknodes. Spatial coupling is applied on parity bits of a Root-LDPC ensemble designed for a channel with 4 block-erasure states and a maximal design rate of 3/4 attaining double diversity. The advantage of spatial coupling is shown in the erasure plane as an improvement of a threshold boundary, under independent erasures. The spatial coupling maintains the double diversity because it connects parity bits only. The drawback of this partial coupling is a weak saturation of the threshold boundary towards the capacity boundary.

Keywords: Satellite communication systems; Checknodes; Distributed storage; Erasure channels; LDPC codes; Low-density parity-check (LDPC) codes; Parity bits; Spatial couplings; Codes (symbols)

Domains: Computer Science [cs]

F. Jardel, J.J. Boutros, V. Dedeoglu, M. Sarkiss, Ghaya Rekaya-Ben Othman. Spatial coupling for distributed storage and diversity applications. 2015 5th International Conference on Communications and Networking (COMNET), Nov 2016, Tunis, Tunisia. ⟨10.1109/COMNET.2015.7566624⟩. ⟨cea-01841673⟩