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

作者：Yuan Jian guo^*; Xie Ya; Wang Lin; Huang Sheng; Wang Yong

来源：Optoelectronics Letters, 2013, 9(1): 42-44.

DOI：10.1007/s11801-013-2335-9

• Code rates
• Construction method
• LDPC codes
• Low density parity check
• Net coding gain
• Optical transmission systems

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.

• 出版日期2013