Block-error Threshold Analysis of Protographs in 5G-Standard

Block-error threshold analysis of protographs in 5G standard are considered over binary erasure channel (BEC) and binary additive white Gaussian noise (BIAWGN) channel. For protographs with degree-one variable nodes, conditions are derived to ensure equality of bit-error threshold and block-error threshold. Using this condition, it is shown that block-error threshold and bit-error threshold for protographs in in 5G standard are the same. Protographs with block-error threshold close to capacity are designed and shown to have better error rate performance than the protographs in 5G standard.