26 March 2021 Lifting method for quasi-cyclic low-density parity-check codes based on approximated cycle extrinsic message degree in optical communication systems
Xin Qin, Chuanchuan Yang, Jiazhe Hu, Xinyue Wang, Ziyu Wang
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Abstract

Quasi-cyclic low-density parity-check (QC-LDPC) codes with low-complexity hardware implementation and excellent performance have become a hot research topic in many optical communication systems. To meet the different requirements of code lengths in optical communication systems, lifting methods which remove all the short cycles equally are usually used to construct long QC-LDPC codes of larger lengths by lifting short QC-LDPC codes. A lifting method is proposed, which considers both length and connectivity of short cycles. The proposed lifting method reduces the complexity of calculating the approximated cycle extrinsic message degree -related metrics and improves connectivity of the Tanner graph. The numerical results prove that, by employing our proposed lifting method, the lifted long QC-LDPC codes have better bit error rate performance compared with the lifted codes employing the traditional lifting method.

© 2021 Society of Photo-Optical Instrumentation Engineers (SPIE) 0091-3286/2021/$28.00 © 2021 SPIE
Xin Qin, Chuanchuan Yang, Jiazhe Hu, Xinyue Wang, and Ziyu Wang "Lifting method for quasi-cyclic low-density parity-check codes based on approximated cycle extrinsic message degree in optical communication systems," Optical Engineering 60(3), 030501 (26 March 2021). https://doi.org/10.1117/1.OE.60.3.030501
Received: 26 September 2020; Accepted: 9 March 2021; Published: 26 March 2021
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KEYWORDS
Telecommunications

Optical communications

Optical engineering

Error analysis

Data modeling

Forward error correction

Monte Carlo methods

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