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We study spatially coupled LDPC codes that allow access to sub-blocks muchsmaller than the full code block. Sub-block access is realized by a semi-globaldecoder that decodes a chosen target sub-block by only accessing the target,plus a prescribed number of helper sub-blocks adjacent in the code chain. Thispaper develops a theoretical methodology for analyzing the semi-global decodingperformance of spatially coupled LDPC codes constructed from protographs. Themain result shows that semi-global decoding thresholds can be derived fromcertain thresholds we define for the single-sub-block graph. Thesecharacterizing thresholds are also used for deriving lower bounds on thedecoder's performance over channels with variability across sub-blocks, whichare motivated by applications in data-storage.

On the Decoding Performance of Spatially Coupled LDPC Codes with Sub-block Access