Abstract
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 dB, 1.25 dB and 0.29 dB 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.
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This work has been supported by the National Natural Science Foundation of China (Nos.61472464 and 61471075), the Program for Innovation Team Building at Institutions of Higher Education in Chongqing (No.J2013-46), the Natural Science Foundation of Chongqing Science and Technology Commission (Nos.cstc2015jcyjA0554 and cstc2013jcyjA40017), and the Program for Postgraduate Science Research and Innovation of Chongqing University of Posts and Telecommunications (Chongqing Municipal Education Commission) (No.CYS14144).
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Yuan, Jg., Liang, Mq., Wang, Y. et al. A novel construction scheme of QC-LDPC codes based on the RU algorithm for optical transmission systems. Optoelectron. Lett. 12, 132–135 (2016). https://doi.org/10.1007/s11801-016-5167-6
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DOI: https://doi.org/10.1007/s11801-016-5167-6