光电子快报(英文版), 2017, 13 (5): 358, Published Online: Sep. 13, 2018  

Construction of type-II QC-LDPC codes with fast encoding based on perfect cyclic difference sets

Author Affiliations
1 School of Electronics and Information Engineering, Hunan University of Science and Engineering, Yongzhou 425199, China
2 BNP Paribas, 787 Seventh Avenue, New York 10019, U.S.A.
3 College of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
4 Key Laboratory of Granular Computing, Minnan Normal University, Zhangzhou 363000, China
Abstract
In view of the problems that the encoding complexity of quasi-cyclic low-density parity-check (QC-LDPC) codes is high and the minimum distance is not large enough which leads to the degradation of the error-correction performance, the new irregular type-II QC-LDPC codes based on perfect cyclic difference sets (CDSs) are constructed. The parity check matrices of these type-II QC-LDPC codes consist of the zero matrices with weight of 0, the circulant permutation matrices (CPMs) with weight of 1 and the circulant matrices with weight of 2 (W2CMs). The introduction of W2CMs in parity check matrices makes it possible to achieve the larger minimum distance which can improve the error- correction performance of the codes. The Tanner graphs of these codes have no girth-4, thus they have the excellent decoding convergence characteristics. In addition, because the parity check matrices have the quasi-dual diagonal structure, the fast encoding algorithm can reduce the encoding complexity effectively. Simulation results show that the new type-II QC-LDPC codes can achieve a more excellent error-correction performance and have no error floor phenomenon over the additive white Gaussian noise (AWGN) channel with sum-product algorithm (SPA) iterative decoding.

LI Ling-xiang, LI Hai-bing, LI Ji-bi, JIANG Hua. Construction of type-II QC-LDPC codes with fast encoding based on perfect cyclic difference sets[J]. 光电子快报(英文版), 2017, 13(5): 358.

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