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A novel lower-complexity construction scheme of quasi-cyclic low-density parity-check(QC-LDPC) codes for optical transmission systems is proposed based on the structure of the parity-check matrix for the Richardson-Urbanke(RU) algorithm. Furthermore, a novel irregular QC-LDPC(4 288, 4 020) code with high code-rate of 0.937 is constructed by this novel construction scheme. The simulation analyses show that the net coding gain(NCG) of the novel irregular QC-LDPC(4 288,4 020) code is respectively 2.08 d B, 1.25 d B and 0.29 d B more than those of the classic RS(255, 239) code, the LDPC(32 640, 30 592) code and the irregular QC-LDPC(3 843, 3 603) code at the bit error rate(BER) of 10~(-6). The irregular QC-LDPC(4 288, 4 020) code has the lower encoding/decoding complexity compared with the LDPC(32 640, 30 592) code and the irregular QC-LDPC(3 843, 3 603) code. The proposed novel QC-LDPC(4 288, 4 020) code can be more suitable for the increasing development requirements of high-speed optical transmission systems.
A novel lower-complexity construction scheme of quasi-cyclic low-density parity-check (QC-LDPC) codes for optical transmission systems is proposed based on the structure of the parity-check matrix for the Richardson-Urbanke (RU) algorithm. , a novel irregular QC-LDPC (4 288, 4 020) code with high code-rate of 0.937 is constructed by this novel construction scheme. The simulation analyzes show that the net coding gain (NCG) of the novel irregular QC-LDPC 4 288,4 020) code is respectively 2.08 d B, 1.25 d B and 0.29 d B more than those of the classic RS (255, 239) code, the LDPC (32 640, 30 592) code and the irregular QC-LDPC (3 843, 3 603) code at the bit error rate (BER) of 10 -6. The irregular QC-LDPC (4 288, 4 020) code has the lower encoding / decoding complexity compared with the LDPC The proposed novel QC-LDPC (4 288, 4 020) code can be more suitable for the increasing development requirements of high-speed optica l transmission systems.