基于有限域的最佳周期交织方法

由于至今还没有很好的寻找最佳周期交织形式的方法，本文中基于信息多项式与Turbo编码器反馈多项式间的整除性关系，对信息多项式进行矩阵排列．该矩阵的任意一列可采用随机交织方式，而列间交织方式必须是按由反馈多项式生成的循环码字集的自同构群构成．基于这种思想设计了一种交织形式，仿真结果显示该交织形式能明显改善Turbo码的误码率性能．

A method to find optimal period interleaver

For finding the optimal period interleaver, we rearrange the information polynomial of Turbo codes as a matrix based on the divisibility between the information polynomial and the feedback polynomial. Any column of the matrix can be permuted randomly, and the permutation between columns should satisfy the form which is the automorphism group of the binary cyclic Turbo code generated by the feedback polynomial. According to this idea a method to find the form of the optimal period interleaver is given. From the computer simulation we find that such an interleaver can improve the BER performance of Turbo codes.