This invention relates to a Normalized Minimum Offset Sum (NOMS) decoding method for LDPC codes based on optimized grouped neural networks, belonging to the field of
wireless communication channel coding technology. This method utilizes the topological relationship between the LDPC code base graph and the
Tanner graph to transform the
Tanner graph into a non-fully connected grouped neural network. It groups edges based on the base graph type and achieves parameter sharing using edge bundles. A greedy hierarchical training
algorithm is used to optimize the normalization factor and offset factor round by round, obtaining dynamically adaptive parameters that adapt to each iteration stage. The optimized factors are substituted into the decoding update formula to replace the traditional fixed factors and complete the normalized minimum offset sum decoding. This invention can suppress error amplification during iteration, avoid error leveling and decoding
deadlock, improve decoding accuracy while reducing computational complexity and parameter size, exhibit strong generalization ability, and can adapt to LDPC codes with different code lengths and rates under the same base graph. It also features low latency, high robustness, and
engineering practicality.