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Finite field construction for quasi-cyclic LDPC convolutional codes with cyclic 2-D MDS codes |
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| Authors: | Zhao Ming Liu Zhipeng Zhao Ling |
| Affiliation: | 1.China Academy of Electronic and Information Technology (CAEIT), China Electronic Technology Group Corporation (CETC), Beijing, 100041, China ;2.School of Electronics and Information Engineering, Beihang University, Beijing, 100191, China ; |
| Abstract: | The parity-check matrices for quasi-cyclic low-density parity-check convolutional (QC-LDPC-C) codes have different characteristics of time-varying periodicity and need to realize fast encoding. The finite field construction method for QC-LDPC-C codes with cyclic two-dimensional maximum distance separable (2-D MDS) codes is proposed using the base matrix framework and matrix unwrapping, thus the constructed parity-check matrices are free of length-4 cycles. The unwrapped matrices are constructed respectively based on different cyclic 2-D MDS codes for the case of matrix period less than or greater than constraint block length, and construction examples are given. LDPC-C codes with different periodicity characteristics are compared with QC-LDPC-C codes constructed with the proposed method. Experimental results show that QC-LDPC-C codes with the proposed method outperform the other codes and have lower encoding and decoding complexity. |
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