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arXiv · 1303.1858

On the Minimum Distance of Generalized Spatially Coupled LDPC Codes

David G. M. Mitchell·Michael Lentmaier·Daniel J. Costello Jr
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Abstract

Families of generalized spatially-coupled low-density parity-check (GSC-LDPC) code ensembles can be formed by terminating protograph-based generalized LDPC convolutional (GLDPCC) codes. It has previously been shown that ensembles of GSC-LDPC codes constructed from a protograph have better iterative decoding thresholds than their block code counterparts, and that, for large termination lengths, their thresholds coincide with the maximum a-posteriori (MAP) decoding threshold of the underlying generalized LDPC block code ensemble. Here we show that, in addition to their excellent iterative decoding thresholds, ensembles of GSC-LDPC codes are asymptotically good and have large minimum distance growth rates.

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David G. M. Mitchell, Michael Lentmaier, Daniel J. Costello Jr. 2013-03-08. On the Minimum Distance of Generalized Spatially Coupled LDPC Codes. https://doi.org/10.1109/isit.2013.6620551

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