Doubly QC-LDPC Codes

Yige Wang, M.P.C. Fossorier

Yige Wang, M.P.C. Fossorier

In this paper, the design of doubly generalized low-density parity-check (DGLDPC) codes is proposed. This approach generalizes the structure of LDPC codes at both check and variable nodes. The performance of DGLDPC codes over the AWGN channel is analyzed using EXIT charts. Combined with differential evolution optimization, this analysis provides thresholds for DGLDPC codes that are better than that of LDPC and GLDPC codes with the same maximum variable degree. These theoretical thresholds are verified via simulations. Furthermore DGLDPC codes exhibit a lower error floor compared with their LDPC and GLDPC counterparts.

Wataru Matsumoto, Rui Sakai, Hideo Yoshida

Yige Wang, Chung‐Li Wang, M.P.C. Fossorier

Protograph-based doubly generalized LDPC (DGLDPC) codes are explored in this paper. We extend (and in the process simplify) the technique for computing the ensemble weight enumerators of protograph-based LDPC and GLDPC codes to DGLDPC codes. We find that with careful design, protograph-based DGLDPC codes can have a better asymptotic growth rate of minimum distance than that of the protograph-based LDPC and GLDPC codes. Simulation results confirm that protograph-based DGLDPC codes have a low error floor.

Juane Li, Shu Lin, Khaled Abdel-Ghaffar +2 more