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Spatially-Coupled LDPC (SC-LDPC) ensembles achieve the capacity of binarymemoryless channels (BMS), asymptotically, under belief-propagation (BP)decoding. In this paper, we study the BP decoding of these code ensembles overa BMS channel and in the presence of a single random burst of erasures. We showthat in the limit of code length, codewords can be recovered successfully ifthe length of the burst is smaller than some maximum recoverable burst length.We observe that the maximum recoverable burst length is practically the same ifthe transmission takes place over binary erasure channel or over binaryadditive white Gaussian channel with the same capacity. Analyzing the stoppingsets, we also estimate the decoding failure probability (the error floor) whenthe code length is finite.

Spatially Coupled LDPC Codes Affected by a Single Random Burst of Erasures