| 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].Optoelectronics Letters,2017,13(5):358-362 |
| Construction of type-II QC-LDPC codes with fast encoding based on perfect cyclic difference sets |
| Author Name | Affiliation | | LI Ling-xiang | School of Electronics and Information Engineering, Hunan University of Science and Engineering, Yongzhou 425199, China | | LI Hai-bing | BNP Paribas, 787 Seventh Avenue, New York 10019, U.S.A. | | LI Ji-bi | College of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China | | JIANG Hua | Key Laboratory of Granular Computing, Minnan Normal University, Zhangzhou 363000, China |
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| 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 matricesof 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. |
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