An Enhanced Offset Min-Sum decoder for 5G LDPC Codes

This paper presents an Enhanced Offset Min-Sum (EOMS) decoder for Low-Density Parity-Check (LDPC) codes used in the 5th generation (5G) mobile communications. It is observed that a significant part of Variable Nodes (VNs) in the 5G LDPC codes are with degree-1 and are very sensitive to be erroneous, leading to the fact that the decoding performance is generally reduced. In the EOMS decoding, the core check nodes (CN) and extension CNs are processed with different update rules. A new CN -update criterion is also proposed by making use of the third minimum value. As a result, the offset factors are adaptively selected and the error probability of degree-1 VNs is significantly reduced. Simulation results show that the proposed EOMS decoder offers a much better error-correction performance than the state-of-the-art benchmarks for several 5G LDPC codes with a negligible complexity overhead.