基于准循环分量码构造的多进制PCGC码

PCGC码是一种以LDPC码作为分量码的级联码。它在继承LDPC码优越的误比特率性能的同时，还拥有比LDPC码更低的编码复杂度。对多进制PCGC码进行了研究，同时将采用准循环算法构造的校验矩阵引入其分量码的设计中。用准循环方法构造的PCGC码，在编码端采用一组移位寄存器即可完成编码，大大降低了PCGC码的编码复杂度。仿真结果表明：短帧情况下，通过准循环构造分量码矩阵编码，四进制PCGC码性能优于同进制LDPC码。因此，基于准循环分量码构造的多进制PCGC码在未来数字通信系统中具有重要的应用价值。

Q-ary PCGC based on quasi-cyclic construction

Parallel concatenated Gallager codes (PCGC) are a class of concatenated codes based on component LDPC codes. They show the low complexity of encoding while maintaining a good performance compared to LDPC codes. In this paper, the performance of non-binary PCGC scenario is investigated, and the Quasi-Cyclic is introduced into the design of component parity check matrix. The encoding of Quasi-Cyclic LDPC can be implemented by simple shift register, which greatly reduces the complexity of coding of PCGC. Simulation results show that Q-ary PCGC with proper component design on GF(4) are better than the comparable LDPC codes at the short lengths. Hence, Q-ary PCGC based on quasi-cyclic construction is of important application value in future digital communication system.