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Spatially-coupled LDPC codes for two dimensional erasure channel

In this study, we developed spatially coupled LDPC (SC-LDPC) codes on the two-dimensional array erasure (2DAE) channel. We propose a method of generating new SC-LDPC codes with the restriction on the check node constraint. We evaluate by density evolution analysis that the improvement of the threshold for the proposed two-dimensional SC-LDPC codes over the one-dimensional SC-LDPC codes. Moreover we verify that the BP threshold of the proposed codes can approach the corresponding maximum a posteriori (MAP) threshold of the original residual graph on the 2DAE channel.