A High Throughput Implementation of QC-LDPC Codes for 5G NR

Quasi-cyclic low-density parity-check (QC-LDPC) codes are the choice for data channels in the fifth generation (5G) new radio (NR). At the transmitter side, code bits from the QC-LDPC encoder are delivered to the rate matcher. The task of the rate matcher is to select an appropriate number of code bits via puncturing and/or repetition. Code bits that are not selected do not need to be encoded. At the receiver side, the de-rate matcher combines code bits of different transmission attempts and sends them to the QC-LDPC decoder. The output of the QC-LDPC decoder only needs to include necessary systematic bits. Unnecessary systematic bits and parity bits can be completely removed from the decoding process. Taking these considerations into account, a smaller sub-base matrix instead of a full-base matrix can be used in the encoding and decoding process. In this paper, we propose an efficient implementation of QC-LDPC codes for 5G NR. The full-base matrix is pruned before being used. Compared to the traditional schemes, the proposed scheme improves the throughput of QC-LDPC codes in 5G NR.