Design and Optimization of LDPC Precoded Finite-Length BATS Codes Under BP Decoding
W.X. Zhang, Mingyang Zhu, Ming Jiang, Nan Hu · IEEE Communications Letters · 2023
In this letter, we focus on the finite-length batched sparse (BATS) codes with low-density parity-check (LDPC) precoding and the design method of degree distributions, which can significantly improve the error-correcting performance of belief propagation (BP) decoding. In this coding scheme, the received batches and parity-check equations of LDPC precoding are decoded by a joint BP decoder. We propose a design approach for the degree distributions of precoded BATS codes, which is based on the finite-length analysis of BATS codes and the threshold computation of LDPC codes. Although the proposed coding scheme is theoretically suboptimal for a joint BP decoder, simulation results verified that a significantly large gain can be achieved by our design method.