基于成对不同元素元组的帧同步方法

E. Faure, M. Makhynko, A. Shcherba, D. Faure, B. Stupka
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引用次数: 0

摘要

提出了帧同步方法的进一步发展,该方法使用段[0; M  1]整数集合元素的排列作为同步字。建议使用段[0; M 1]整数集合中 M-η 对不同元素的元组作为同步字。该集合的元素用固定长度的二进制码编码,同步字与其所有循环位移之间的最小二进制汉明距离为最大值。论文确定,在 M = 16 时,整数集合中 15 个成对不同元素的元组的最小汉明距离的最大值等于 30。根据 15 个元素的元组以及长度为 16 和 8 的排列,对帧同步效果进行了比较评估。建立了二进制对称通信信道中帧同步系统的计算机仿真模型。同步指标是根据误码率 0.4 和 0.495 计算得出的参数以及正确同步的最小概率 0.9997 和错误同步的最大概率 3E-4 的要求确定的。在帧同步系统中使用成对不同元素的元组的有效性已得到证实。效率指标取决于通信信道误码率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Frame Synchronization Method Based on Tuples of Pairwise Distinct Elements
The further development of the frame synchronization method is presented, which uses as a synchronization word the permutation of the elements of the set of integers of the segment [0; M  1], was further developed. It is proposed to use a tuple of M-η pairwise distinct elements of the set of integers of the segment [0; M 1] as a syncword. The elements of this set are encoded with a fixed-length binary code and the minimum binary Hamming distance between the syncword and all its circular shifts is the maximum. The paper established that the maximum value of the minimum Hamming distance for tuples of 15 pairwise distinct elements of the set of integers for M = 16 is equal to 30. A comparative assessment of the frame synchronization effectiveness was performed based on tuples of 15 elements, as well as on permutations of length 16 and 8. A computer simulation model of the frame synchronization system in a binary symmetric communication channel was built. Synchronization indicators were determined with parameters calculated for bit error probability 0,4 and 0,495, as well as requirements for a min-imum probability of correct synchronization of 0,9997 and a maximum probability of false synchronization of 3E-4. The effectiveness of using tuples of pairwise distinct elements in frame synchronization systems has been confirmed. The efficiency indicator depends on com-munication channel bit error probability.
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