The Sum-Product Algorithm for Degree-2 Check Nodes and Trapping Sets

Published 8 Nov 2014 in cs.IT and math.IT | (1411.2169v1)

Abstract: The sum-product algorithm for decoding of binary codes is analyzed for bipartite graphs in which the check nodes all have degree $2$. The algorithm simplifies dramatically and may be expressed using linear algebra. Exact results about the convergence of the algorithm are derived and applied to trapping sets.

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