High-rate Spatially Coupled Codes for Channels with Synchronous Errors

In this paper, we deal with coding for synchronous errors. In [1], we introduced a synchronously erroneous finite state Markov channel model whose SIR is computable. Numerical experiments demonstrated spatially-coupled codes approach the SIR of the channel. However, at high-rate region, there is a gap to the SIR even if very long code length was used. In this paper, for the channel, we apply density evolution analysis [2] and the extended version for FSMC [3]. The results show that the threshold of protograph coupled codes is degraded at high-rate region, while random coupled codes approach the SIR even in the high-rate region.