A novel concatenated code based on the improved SCG-LDPC code for optical transmission systems

Jian-guo Yuan; Ya Xie; Lin Wang; Sheng Huang; Yong Wang

doi:10.1007/s11801-013-2335-9

Optoelectronics Letters ›› 2013, Vol. 9 ›› Issue (1) : 42-44. DOI: 10.1007/s11801-013-2335-9

Article

A novel concatenated code based on the improved SCG-LDPC code for optical transmission systems

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Abstract

Based on the optimization and improvement for the construction method of systematically constructed Gallager (SCG) (4, k) code, a novel SCG low density parity check (SCG-LDPC)(3969, 3720) code to be suitable for optical transmission systems is constructed. The novel SCG-LDPC (6561,6240) code with code rate of 95.1% is constructed by increasing the length of SCG-LDPC (3969,3720) code, and in a way, the code rate of LDPC codes can better meet the high requirements of optical transmission systems. And then the novel concatenated code is constructed by concatenating SCG-LDPC(6561,6240) code and BCH(127,120) code with code rate of 94.5%. The simulation results and analyses show that the net coding gain (NCG) of BCH(127,120)+SCG-LDPC(6561,6240) concatenated code is respectively 2.28 dB and 0.48 dB more than those of the classic RS(255,239) code and SCG-LDPC(6561,6240) code at the bit error rate (BER) of 10⁻⁷.

Keywords

Code Rate / Forward Error Correction / Parity Check Matrix / Codeword Length / Forward Error Correction Code

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Jian-guo Yuan, Ya Xie, Lin Wang, Sheng Huang, Yong Wang. A novel concatenated code based on the improved SCG-LDPC code for optical transmission systems. Optoelectronics Letters, 2013, 9(1): 42‒44 https://doi.org/10.1007/s11801-013-2335-9

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This work has been supported by the National Natural Science Foundation of China (Nos.61071117, 61275077 and 61003256), the Natural Science Foundation of Chongqing CSTC (No.2010BB2409), and the Science and Technology Foundation of Chongqing Municipal Education Commission (No.KJ110519).