Construction of multiple-rate LDPC codes using modified PEG

Progressive edge-growth (PEG) algorithm was proven to be a simple and effective approach to design good LDPC codes. However, the low-density parity-check (LDPC) constructed by PEG algorithm is of a single code rate. In this paper, we propose a modified PEG algorithm to construct multiple-rate LDPC codes, which is referred to as the multiple-rate PEG (MR-PEG) algorithm. The obtained LDPC codes with various code rates have the same blocklength and can share common hardware resources to reduce the implementation complexity. Simulation results show that the obtained codes outperform other multiple-rate LDPC codes constructed from random row-splitting operations.