多阶幻方卷积码的构造及译码

摘要

A high order magic square convolution code with relative greater length of information bits and constraint degrees is built based on linear block codes and convolutional codes in the paper.The analysis to the state transition is given through defining a multi-dimensional matrix, and the soft decision viterbi decoder with single structure and the ability of parallel processing is built with the help of matrix computation.The simulation and analysis demonstrate that the code has a large number of good codes with fine distance performance and high efficiency,and it has good expectations to obtain shannon codes.%本文结合线性分组码和卷积码,构造出一类信息组长度和约束度都相对较大的多阶幻方卷积码.通过定义一种多维矩阵,进行了状态转移分析,并借助矩阵运算构建出单一结构但却能并行处理的软判决维特比译码器.仿真分析表明,该码类存在大量距离特性优良、高效率的好码,具有获取香农码的良好预期.