Research on the Performance of LDPC Codes in 5G Communication System

With the development of the Internet of Things technology, the fourth-generation mobile communication system cannot meet the needs of the Internet of Things (IOT). In order to provide higher transmission rate, smaller delay, and more powerful device connection capabilities, turbo codes are replaced by low-density parity-check (LDPC) codes in enhanced mobile broadband (eMBB) scenarios of fifth-generation wireless systems (5G). The check matrixes of LDPC codes in the 5G standard have two important characteristics. One is that they are all extended from high code rate check matrices to support the LDPC codes in different code rates and the incremental redundancy hybrid automatic repeat request (IR-HARQ) scheme. The other is that there are both dual-diagonal sub-matrix and identity sub-matrix in each check matrix to reduce the encoding complexity. This paper first details the structures and characteristics of LDPC codes in 5G standard, and then, the performance of 5G LDPC codes with different code lengths and code rate in the additive white Gaussian noise (AWGN) channel is proposed.