  In this paper, we propose a non-uniform windowed decoder for
multi-dimensional spatially-coupled LDPC (MD-SC-LDPC) codes over the binary
erasure channel. An MD-SC-LDPC code is constructed by connecting together
several SC-LDPC codes into one larger code that provides major benefits over a
variety of channel models. In general, SC codes allow for low-latency windowed
decoding. While a standard windowed decoder can be naively applied, such an
approach does not fully utilize the unique structure of MD-SC-LDPC codes. In
this paper, we propose and analyze a novel non-uniform decoder to provide more
flexibility between latency and reliability. Our theoretical derivations and
empirical results show that our non-uniform decoder greatly improves upon the
standard windowed decoder in terms of design flexibility, latency, and
complexity.
