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Enhanced reconstruction of NR-LDPC codes for high capacity PHz communication

In this paper, we propose an enhanced reconstruction method of NR-LDPC codes for ultra-high capacity Petahertz (PHz) communications. We redesign the protograph of NR-LDPC codes by partially increasing column weights under BDD structure in the parity part and adjusting the column weights in the information part where the single diagonal in Raptor-like structure is reasonably maintained to guarantee the waterfall performance and linear complexity encoding. After that, the simplified EMPEG algorithm is used to optimize the shifting values of the non-zero positions in the new protograph, so that error floor can be further lowered with almost no performance loss at waterfall region. Simulation results show that the enhanced reconstructions of NR-LDPC codes with moderate block lengths can significantly lower the error floors from the BER of 10−7 to 10−10 or lower, which makes the NR-LDPC codes easily applicable for high capacity PHz communications.