Construction of Protograph-Based Partially Doped Generalized LDPC Codes

A generalized low-density parity-check (GLDPC) code is a class of codes, where single parity check nodes in conventional (LDPC) are replaced by linear codes with higher constraints. In this paper, we introduce new method constructing GLDPC inserting the for partial doping. While protograph dopes replacing them nodes, constructed adding and partially doping selected variable to possess degrees freedom, called doped (PD-GLDPC) code. The proposed PD-GLDPC can make it possible do more accurate extrinsic information transfer (EXIT) analysis granularity become finer terms than We also propose constraint typical minimum distance prove that satisfying condition have growth property. Furthermore, obtain threshold optimized both regular irregular ensembles over binary erasure channel (BEC). Specifically, construction algorithms protograph-based enable rates ones. block error rate performance shows has reasonably good waterfall low floor outperforms other LDPC same rate, length, degree distribution.