J Shanghai Jiaotong Univ Sci ›› 2016, Vol. 21 ›› Issue (6): 679-683.doi: 10.1007/s12204-016-1781-5

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Construction of rate-compatible (RC) low-density parity-check (LDPC) convolutional codes based on RC-LDPC block codes

Mu L.; Han G.; Liu Z.   

  1. Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou, 510006, China; School of Information Engineering, Guangdong University of Technology, Guangzhou, 510006, China; School of Information and Electrical Engineering, Harbin Institute of Technology, Shandong, 264209, Weihai, China
  • Published:2025-06-27

Abstract: In this paper, a family of rate-compatible (RC) low-density parity-check (LDPC) convolutional codes can be obtained from RC-LDPC block codes by graph extension method. The resulted RC-LDPC convolutional codes, which are derived by permuting the matrices of the corresponding RC-LDPC block codes, are systematic and have maximum encoding memory. Simulation results show that the proposed RC-LDPC convolutional codes with belief propagation (BP) decoding collectively offer a steady improvement on performance compared with the block counterparts over the binary-input additive white Gaussian noise channels (BI-AWGNCs). © 2016, Shanghai Jiaotong University and Springer-Verlag Berlin Heidelberg.

Key words: belief propagation (BP) decoding; maximum encoding memory; rate-compatible (RC) low-density parity-check (LDPC) convolutional codes; systematic