On Construction of Moderate-Length LDPC Codes Over Correlated Erasure Channels

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Executive Summary

The design of moderate-length erasure correcting Low-Density Parity-Check (LDPC) codes over correlated erasure channels is considered. Although the asymptotic LDPC code design remains the same as for a memoryless erasure channel, robustness to the channel correlation shall be guaranteed for the finite length LDPC code. This further requirement is of great importance in several wireless communication scenarios where packet erasure correcting codes represent a simple countermeasure for correlated fade events (e.g., in mobile wireless broadcasting services) and where the channel coherence time is often comparable with the code length. In this paper, the Maximum Tolerable erasure Burst Length (MTBL) is adopted as a simple metric for measuring the code robustness to the channel correlation.

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