Finite field construction for quasi-cyclic LDPC convolutional codes with cyclic 2-D MDS codes

Ming Zhao (), Zhipeng Liu and Ling Zhao
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Ming Zhao: China Electronic Technology Group Corporation (CETC)
Zhipeng Liu: China Electronic Technology Group Corporation (CETC)
Ling Zhao: Beihang University

Telecommunication Systems: Modelling, Analysis, Design and Management, 2022, vol. 81, issue 1, No 9, 115-123

Abstract: 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.

Keywords: Quasi-cyclic LDPC convolutional code; Finite field construction; Cyclic 2-D MDS code; Fast encoding; Matrix unwrapping; Periodic expansion (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11235-022-00926-x

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