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Frontiers of Optoelectronics

ISSN 2095-2759

ISSN 2095-2767(Online)

CN 10-1029/TN

Postal Subscription Code 80-976

Front Optoelec    2012, Vol. 5 Issue (3) : 311-316    https://doi.org/10.1007/s12200-012-0269-7
RESEARCH ARTICLE
A new construction method of LDPC codes for optical transmission systems
Jianguo YUAN(), Yuexing JIA, Wenjuan BI, Liang XU
Key Laboratory of Optical Fiber Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
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Abstract

Based on the construction method of systematically constructed Gallager (SCG)(4, k) code, a new improved construction method of low density parity check (LDPC) code is proposed. Compared with the construction method of SCG(4, k) codes improved before, the proposed construction method has some advantages, such as saving storage space and reducing computation complexity in the hardware implementation. And then LDPC(5929, 5624) code with 5.42% redundancy is constructed by the proposed method. The simulation results and analysis show that the constructed LDPC(5929, 5624) code has better error-correction performance, lower redundancy and lower decoding complexity than those of a classic Reed-Solomon (RS)(255, 239) code. Therefore, LDPC(5929, 5624) code, constructed by the proposed construction method on LDPC codes, can better suitable for optical transmission systems.

Keywords low density parity check (LDPC) codes      net coding gain (NCG)      construction method      optical transmission systems     
Corresponding Author(s): YUAN Jianguo,Email:yuanjg@cqupt.edu.cn   
Issue Date: 05 September 2012
 Cite this article:   
Jianguo YUAN,Yuexing JIA,Wenjuan BI, et al. A new construction method of LDPC codes for optical transmission systems[J]. Front Optoelec, 2012, 5(3): 311-316.
 URL:  
https://academic.hep.com.cn/foe/EN/10.1007/s12200-012-0269-7
https://academic.hep.com.cn/foe/EN/Y2012/V5/I3/311
Fig.1  Check matrix of SCG(4, 5) code constructed by H?sli and Erik
Fig.2  Check matrix of SCG(4, 5) code constructed by H?sli and Erik
Fig.3  Simulation result diagram of novel LDPC(5929, 5624) code
code typeredundancy/%NCG at BER of 10-6/dBNCG at BER of 10-12/dB
RS(255, 239)6.693.445.61
BCH(3860, 3824) + BCH(2040, 1930)6.694.707.98
RS(255, 239) + CSOC(k0/n0 = 6/7, J = 8)24.48?4.817.95
LDPC(5929, 5624)5.425.047.18
Tab.1  Comparison of error-correction performance between LDPC(5929, 5624) code and other code types
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