Spatial coupling for distributed storage and diversity applications


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.

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@article{Jardel2015SpatialCF, title={Spatial coupling for distributed storage and diversity applications}, author={Fanny Jardel and Joseph Jean Boutros and Volkan Dedeoglu and Mireille Sarkiss and Ghaya Rekaya-Ben Othman}, journal={2015 5th International Conference on Communications and Networking (COMNET)}, year={2015}, pages={1-5} }